Revealing a novel and notable interaction in the binding of type II statins to HMG-CoA reductase: Stacked cation–π interaction

Revealing a novel and notable interaction in the binding of type II statins to HMG-CoA reductase: Stacked cation–π interaction | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Revealing a novel and notable interaction in the binding of type II statins to HMG-CoA reductase: Stacked cation–π interaction Aliakbar Ahmadi, Mojgan Ayoubi-Chianeh, Mohamad Z. Kassaee, Alireza Fattahi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-2528724/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Statins are the well-known therapy for lowering LDL cholesterol. They inhibit 3-hydroxy-3-methylglutaryl coenzyme A (HMG-CoA) reductase by holding an HMG-like moiety (mevalonate structure) as their core structure. Statins can be divided into two classes based on their hydrophobic side structure. Type I statins (viz. mevastatin, simvastatin) encompass a chiral decalin ring, while type II statins (viz. fluvastatin cerivastatin, atorvastatin, rosuvastatin) encompass an achiral pyrrole or pyrimidine ring with 4-fluorophenyl group. Statins primarily use dipole/dipole and hydrogen bonds to bind to the active site of the reductase, focusing on the portion of the active site dominated by lysine 735, arginine 590, aspartic acid 690, serine 684, lysine 691, asparagine 755, lysine 692 and glutamine 559 with minimal explicit incorporation of hydrophobic side structure interactions. This study has centered on potentially important enzyme-ligand interaction currently not incorporated: stacked cation–π interaction between the guanidinium group of arginine 590 residues in the HMG-CoA reductase active site and 4-fluorophenyl group of the type II statins. The geometry of interaction between these planar groups has been considered based on the X-ray crystallographic structures already available in the protein data bank (PDB) archive. Electronic interaction energies between this residue and statins have been acquired by M06 and MP2 methods. In addition, stacking interaction and hydrogen bonding as two important investigated interactions are verified through prominent analyses: (1) quantum theory of atoms in molecules (QTAIM) analysis; (2) plotting and quantitative molecular surface analyses such as electrostatic potential (ESP) analysis, Hirshfeld surface (HS) and Becke surface (BS) analyses; (3) visual study methods such as noncovalent interaction (NCI), independent gradient model (IGM) analyses; and (4) localized orbital locator integrated pi over plane (LOLIPOP) index. The results indicate the absolute binding energy for type II statins is overall more than for type I statins. statin M06 MP2 QTAIM analysis Hirshfeld and Becke surface analysis noncovalent interaction (NCI) analysis independent gradient model (IGM) analysis stacked cation–π interaction amino aromatic interaction guanidinium group LOLIPOP Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 Figure 11 Introduction Cardiovascular diseases have been reported as the main factors of death all around the world 1 including Iran 2 . Hypercholesterolemia (high cholesterol) is considered as the most important threat for cardiovascular diseases. 3,4 Therapeutically, it is significant to research and develop new drugs 5–7 and devices 8,9 so as to decrease the level of blood cholesterol. Since the 1970s, statins have been considered as one of the most common chemotherapy methods of hypercholesterolemia because they have been able to control the 3-hydroxy-3-methyl-glutaryl-CoA (HMG-CoA) reductase enzyme. 10,11 The fact is that this enzyme catalyzes the transformation of HMG-CoA to mevalonate as the fundamental biosynthesis stage of cholesterol in the liver. Therefore, the statin designers have considered an HMG-like structure as the main and constant fragment in their designs to harness the catalytic role of HMG-CoA reductase and also to compete with the natural species to link the active site of the enzyme. 12–16 The crystallographic studies of enzyme-statin complexes have indicated that the interactions of 6 famous statins (compactin/mevastatin, Zocor/simvastatin, Lescol/fluvastatin, Baycol / cerivastatin, Lipitor/atorvastatin, and Crestor/ rosuvastatin) with the active site is analogous to HMG-CoA, inclusive of hydrogen bonds and dipolar/dipolar interactions with lysine 735, lysine 69, lysine 692, arginine 590, aspartic acid 690, serine 684, asparagine 755, glutamic acid 559 amino acid residues. 17–19 Another structural fragment of the statins is their hydrophobic moiety which has been modified to design new statins. Any changes in the chemical structure of this section may develop new interactions and more importantly increase interaction strength between the HMG-like moiety and the enzyme. Consequently, the drug potency will be enhanced. 19 Carbonnel and Fereire et al . carried out the isothermal titration calorimetry (ITC) experiments to obtain the binding enthalpy of different statins by HMG-CoA reductase. 20 Costa et al . used QM calculation to find the complex binding energy of each statin with the main amino acid residues of the active site separately in the range of 12Å. 21 Eventually, they showed that the activity of each statin is directly related to the sum of its complex binding energies. Mevastatin, lovastatin, simvastatin, and pravastatin are the first generation of statins (type I) with natural origins. They include a chiral decalin ring as the hydrophobic section (Fig. 1a). While fluvastatin, cerivastatin, pitavastatin, atorvastatin, and rosuvastatin are the second generation (type II) and they are fully synthetic. 10,19,20 Although an achiral pyrrole or pyrimidine ring has been replaced for the decalin ring (Fig. 1b), inhibition of HMG-CoA reductase has increased. 20 The 4-fluorophenyl group has been proved as an effective substitution of pyrrole or pyrimidine ring in designing and developing statin drugs. 12,13,15,16 Moreover, this group is identified as a constant one in all type II statins. 19 Costa et al . just briefly pointed out the hydrogen bonding of this group with arginine 590. 21 Any other remarkable studies have not yet been reported about the type and the interaction potency of this important group with the active site and its effect on the drug activity. Thus, the present study has focused on the significant planar stacking interaction between the 4-fluorophenyl group of the type II statins and the guanidinium group of arginine 590 in the active site of HMG-CoA reductase (Fig. 2). This type of interaction has not been previously studied and can be applied to design new drugs. It should be pointed out that the Protein–Ligand Interaction Profiler (PLIP) 22 does not remark this interaction (Fig. 3). Within the past few decades, the interactions between arginine and aromatic side chains in proteins were generally called the amino-aromatic interactions, which have been considered more exactly as the cation–π interactions. 23–34 It has been proved that the aromatic rings mostly tend to have stacked interaction with guanidinium group including three atoms of sp 2 nitrogen; although they can act as receptors of NH bonds. 25 In this case, the NH bonds with its adjacent groups (hydrogen receptor) will make more conventional and stronger hydrogen bonds. Dougherty and his colleagues did a lot of research about the cation–π interactions in the biological structures. 35–55 They reviewed the literature on the cation–π interactions 41,44,53 in ligand recognition and catalysis. 56 As an essential strategy in drug design, they proposed that this interaction should be investigated besides the hydrophobic effect, hydrogen bonding and ion pairing when evaluating drug–receptor interactions. In one of their recent works on cation–π interactions, 54 the ability of several computational methods were evaluated for replicate experimental cation–π binding energies. Moreover ‘‘fluorination strategy’’ was validated to study cation–π interactions in vivo . Considering the significance of cation–π interaction in protein–ligand binding, two worthy papers on arginine–arene interaction have most recently been published in Chemical Science . 57,58 Kumar et al . 57 compared the cationic amino acid residues arginine, histidine and lysine in cation–π interaction with neutral aromatic ligands using ab initio calculations, symmetry adapted perturbation theory (SAPT), and systematic data-mining of protein structures from the PDB. They found empirically the arginine–arene interaction is the most frequent and was also computed to be stronger than interaction for lysine in higher polarity surroundings. Nilsson and co-workers revealed that appropriate choosing of aromatic–arginine interacting partners opens up for ligand-controlled protein conformations that may be developed in ligand design, systematically. 58 The interaction energy of different types of statins with arginine 590 has been calculated based on crystallographic structures using the M06 and MP2 methods. In addition, a set of calculations such as QTAIM, ESP, HS, BS, NCI and IGM analyses was applied to scrutinize the cation–π and hydrogen bonding between guanidinium and statins. As a result, these interactions were achieved and their energy values were calculated. Conclusively, the developed statins with better stacking interaction have held stronger complex with arginine. Since the statins of the second generation have a specific stacked structure with arginine, they reveal a stronger interaction with the enzyme. Computational Methods The crystallographic data 18 of the HMG-CoA reductase enzyme complex with mevastatin (PDB ID:1HW8), simvastatin (1HW9), fluvastatin (1HWI), cerivastatin (1HWJ), atorvastatin (1HWK), rosuvastatin (1HWL) were considered (Fig. 2) as the basis of extracting the primary structures of statins complex with arginine 590 in order to calculate and analyze the interactions based on Quantum Mechanical (QM). Then, the atoms of hydrogen were added to all the free valences. Wherever necessary, the head of the free amino acids was capped off by oxygen atoms. The heavy atoms were taken from the crystallographic structures, they were frozen, the position of all the added atoms was optimized by the M06/6-311++G** 59 method. For cation–π interactions, Dougherty and their colleagues found that M06 performed very well. 54 Among all different computational methods practiced to analyze the π – interactions, Hobza and coworkers indicated that MP2/6-31G (0.25)* method can be applied to many π-stacked systems with interesting results. Hence, the binding energy ( E b ) of each (Statin-ARG) complex (Eq. 1) was calculated from the related complex energy in the gas phase using MP2/6-31G(0.25)* method. E b = E complex – E statin – E ARG (1) The Bader’s Quantum Theory of Atoms in Molecules (QTAIM) was utilized to verify and quantify the cation–π interaction and to compare them with the present hydrogen bonding. In this analysis, there is one bond critical point (BCP) between every two atoms for each bond interaction. Properties like electron density, ρ (r), Laplacian of electron density, ∇ 2 ρ (r), electronic kinetic energy density, G(r), electronic potential energy density, V(r), and electronic energy density, H(r) are calculated in this BCP. These parameters have been exceedingly employed to clarify the bond interactions. The ρ (r) in BCP is remarked as the most fundamental topological parameter and it is also identified as a suitable criterion to assess the strength of the related interactions. The Spartan software 60 was employed to perform optimization and single point energy calculations. The MultiWFN program package 60 contributed to extract and analyze the topological parameters, quantitative molecular surfaces and visual study of weak interactions. The high quality plots was visualized via VMD 63 and Chimera 64 programs. Results And Discussion The structures of Statin–Arg complex , Statin complex and ARG complex were optimized for all statins by M06/6-311++G** method and the energies of these structures were calculated by MP2/6-31G (0.25)* method due to the instruction pointed out in the calculation section (Fig. 4). The interaction between ARG590 and different statins was first evaluated by different approaches including electrostatic potential (ESP) map; LOLIPOP index for the fragments alone, Statin complex and ARG complex , geometry of structure, energy, and quantitative molecular surface analyses; AIM analysis; and virtual analyses for Statin–ARG complex . ESP maps The electrostatic potential (ESP) maps 62 of two interacting species can be used to predict the strength and the potential location of noncovalent interactions. The cation–π interaction can be analyzed and explained as an important example of noncovalent interactions. Colors determine the potential values in electrostatic maps. Colors close to blue indicate remarkable positive ESP and those closer to red show remarkable negative ESP on the surface, corresponding to the regions closed to the ESP maximum ( V s,max ) and minimum ( V s,min ), respectively. Orange, yellow, and green reveal the average ESP. The positive ESP (blue) tends to interact with nucleophiles (negative regions). On the other hand, the negative ESP (red) tends to interact with electrophiles (positive regions). The ESP maps for all statins feature out that a remarkable negative ESP on their surfaces near the β -hydroxyl of heptanoic acid as the hydrogen receptor group. The ESP minimum values ( V s, min ) are –1.491 eV, –1.463 eV, –1.422 eV, –1.416 eV, –1.270 eV, and –1.195 eV for cerivastatin, mevastatin, simvastatin, fluvastatin, rosuvastatin, and atorvastatin, respectively (Fig. 5). Under the same conditions, this trend can be similar to the trend of hydrogen bond strength between the β -hydroxyl of statins and the hydrogens of ARG590. Faced with ARG590, mevastatin and simvastatin as type I statins have another notable negative ESP on surface. These ESPs are the global minima with –1.605 eV and –1.561 eV values, correspondingly. The large negative value is due to the carbonyl lone pairs of butyryl group (Fig. 5a). While type II statins place 4-fluorophenyl substitution on the face of ARG590 (Fig. 5b). ARG590 as a cation species holding a global positive ESP ( V s, max = +6.55 eV) on its surface with guanidinium hydrogens can make a strong hydrogen bond with hydrogen receptor groups. Also, the three identical local positive ESP ( V s, max = +4.64 eV) on its blue surface is able to make interaction with negative ESP region such as π–electrons (Fig. 5c). Two types of remarkable negative ESPs are on the fluorobenzene surface which arise from the abundant π electrons above and below its ring ( V s, min = –0.604 eV), and owing to the lone pairs of fluorine atom ( V s, min = –0.886 eV) (Fig. 5d). The former means it has the ability to form π–interactions; nevertheless, while the later means it has the ability to form hydrogen bonding. However, these two different negative ESPs can be seen on 4-fluorophenyl surface in all type II statins (Fig. 5b). The V s, min on the ring surface are –0.802 eV, –0.547 eV, –0.435 eV, and –0.264 eV for cerivastatin, rosuvastatin, fluvastatin, and atorvastatin, respectively. This trend shows cerivastatin and atorvastatin have the most and the least π–stacking ability, respectively. Also, the V s, min on the fluorine atom surface are –0.914 eV, –0.913 eV, –0.787 eV, and –0.706 eV for fluvastatin, cerivastatin, atorvastatin, and rosuvastatin, respectively. Therefore, the electrostatic potential (ESP) maps as an effective approach can be used for evaluation of the statins ability to interact with ARG590 and predict the strength of interactions. But since the geometry of these interactions is characterized exactly in optimum mode of enzyme-ligand complex, this prediction may change in practice. LOLIPOP Indication Gonthier et al . 65 investigated the π–stacking ability of organic molecules and suggested π–depletion as a main drawing principle and introduced a quantitative criterion (localized orbital locator integrated pi over plane) LOLIPOP. They proved that rings with lower amount of LOLIPOP actually score a stronger π– depletion. In another word, rings with lower π–delocalization will have a stronger π–stacking ability. The LOLIPOP is defined as definite integral of LOL–π (the LOL purely contributed by π–orbitals) from a distance of 0.5Å away from the molecular plane. Since we want to investigate the stacked cation–π interactions in this study, it is important to examine the π–stacking ability of 4-fluorophenyl substitution independent of their encounter with ARG590 residue of the enzyme. So, we used the LOLIPOP indication here. This index for the aromatic ring of 4-fluorophenyl in the type II statins is much less for the distinct fluorobenzene ring (10.883). The LOLIPOP values for atorvastatin, fluvastatin, rosuvastatin, and cerivastatin are 5.167, 4.839, 4.181 and 3.887, respectively (Table 1). However, 4-fluorophenyl substitution in all types of II statins will have a stronger π–stacking ability than fluorobenzene. Also, these results are exactly compatible with the results obtained for the ESP minimum values ( V s, min ) discussed in the previous section. Table 1. LOLIPOP index for 4-fluorophenyl ring of type II statins and fluorobenzene. Statin LOLIPOP index Fluorobenzene 10.883 Fluvastatin 4.839 Crivastatin 3.887 Atorvastatin 5.167 Rosuvastatin 4.181 Geometry The structures of ARG590 complexed with statins indicates that the hydrogens of guanidinium group orient toward the β -hydroxyl group of heptanoic acid in all statins and it forms two hydrogen bonds (Fig. 4). By this orientation and the involvement of N-H hydrogens, three sp 2 nitrogen atoms tend to make stacked cation–π interaction with aromatic rings. Regarding the presence of 4-fluorophenyl ring in type II statins, the conditions for stacked interaction are provided. The geometrical orientation of type II statins with ARG590 has been defined by three specific angles and distances (Fig. 6). The angles include a dihedral angle between two planes, α , and the angles which provide a linking line between two centers of the planar sections with two extended planes of θ 1 and θ 2 . The distances also include the distance between centers of two planes, d , and horizontal distance, h , and vertical distance, v , between two interaction groups. 66,67 The angles specify the planar interaction configuration and the distances determine the planar interaction intensity of two groups. Three planar interaction types are defined based on the interplanar angle division: originating from the stacked and parallel type of configuration, , referring to diagonal type of configuration and finally , coming from the orthogonal type of configuration. The θ 1 and θ 2 determine the relative situation of two planes and also distinguish configurations such as partial to complete, edge to edge and edge to center. 66 As varies from 13.85° to 21.78° for the planar interaction of the type II statins (Table 2), it is concluded that the configuration of the planar interactions is a stacked type. In addition, the θ 1 and θ 2 angles differ from 31.91° to 43.04° and from 46.59° to 59.62°, indicating that both angles are at the extension of 30˚ to 60˚ and a relatively suitable stacking interaction is developed. Such arrangement is reported in most of guanidinium interactions with aromatic rings in proteins. 66 Table 2 Geometrical parameters of the complex of ARG590 with statins. Statin d (H-bond) 1 (Å) d (H-bond) 2 (Å) α (°) θ 1 (°) θ 2 (°) d (Å) v (Å) h (Å) Mevastatin 2.261 2.128 – – – – – – Simvastatin 2.314 1.883 – – – – – – Fluvastatin 2.262 2.308 13.85 42 54.18 4.579 3.403 3.064 Cerivastatin 2.278 2.118 21.78 40.51 59.62 4.450 3.383 2.891 Atorvastatin 2.305 1.890 18.77 31.91 46.59 4.808 4.081 2.541 Rosuvastatin 2.279 2.078 16.38 43.04 57.91 4.380 3.201 2.989 The carbon distance of guanidinium group (as the center of this group) from the ring center of the 4-fluorophenyl statin, d , varies from 4.380 Å to 4.808 Å. This range of distance is completely coped with the average distance reported for most of planar stacking of guanidinium group and aromatic rings in proteins. 34,68 The horizontal distance length, h , is more than the vertical distance for ARG590 and type II statins interactions. The increase of the horizontal distance demonstrates the overlapping decrease of two planar groups in stacking interaction. In reverse, the decrease of the vertical distance reveals that they are closer to one another and the strength of the stacking interaction is increased. The aromatic ring of atorvastatin has the maximum distance of centeriod to centeriod (d=4.808 Å) and horizontal distance ( h = 4.081 Å) toward ARG590 although its vertical distance is the least ( v = 2.541 Å) among the type II statins. However, the aromatic ring of fluvastatin has the highest vertical gap ( v = 3.064 Å) and it has the second rank after atorvastatin at the center-to-center distance ( d = 4.58 Å) and the horizontal distance ( h = 3.403 Å) toward ARG590. The 4-fluorophenyl of rosuvastatin and cerivastatin with the center-to-center distance of 4.380 Å and 4.450 Å and with the horizontal distance of 3.201 Å and 3.383 Å have the least magnitude of d and h to ARG590, respectively. The vertical distance of cerivastatin toward ARG590 ( v = 2.891 Å) is less than that of rosuvastatin ( v = 2.989 Å). Besides considering the geometry of the stacking interaction, the geometry of the hydrogen bond of ARG590 with different statins can be explored because targeting of the hydrogens of guanidinium group with β -hydroxyl of heptanoic acid at statins includes two different models. The distances of both hydrogens from oxygen atom are in the same range in mevastatin, fluvastatin, cerivastatin, and rosuvastatin, while they are different in simvastatin and atorvastatin. In the latter, the guanidinium group makes a stronger bond with the hydroxyl from one side than two sides (Table 2). This orientation difference in hydrogen bond can explain the difference between geometric parameters in the planar interaction of the 4-fluorophenyl ring of atorvastatin and the 4-fluorophenyl ring of other type II statins. As mentioned in the “ESP mapsˮ section, the global ESP minimum on the type I statins surface is due to the carbonyl lone pairs of butyryl group . Therefore, it is possible to make hydrogen bond with the hydrogens of ARG590. But this interaction is almost impossible geometrically, because the distance of oxygen of carbonyl group to hydrogen of ARG590 is very long; 3.931 Å and 4.779 Å for mevastatin and simvastatin, respectively. Consequently, as the type II statin is varied along cerivastatin, rosuvastatin, fluvastatin, and atorvastatin, their geometrical parameters for stacked cation–π interaction with ARG590 become more and more unpleasant. This is entirely consistent with the results of the ESP maps and the LOLIPOP Indication discussed in previous sections. Energy Eventually, the E b was calculated based on equation 1 (Table 3). The binding energy of ARG590 with statins increases from 23 to 30 kcal/mol, in accordance with the binding strength for cerivastatin > fluvastatin > rosuvastatin ˃ atorvastatin ˃ simvastatin ˃ mevastatin. These results indicate that ARG590 can make a stronger complex with the type II statins than the type I statins. Table 3. Binding energy ( E b ) of the complex of ARG590 with statins, computed at the MP2/6-31G (0.25)* level of theory using the M06/6-311++G** geometries. Statin E b (kcal/mol) Mevastatin –23.34 Simvastatin –23.47 Fluvastatin –25.82 Cerivastatin –29.28 Atorvastatin –24.07 Rosuvastatin –25.09 As discussed in the geometry section, two important hydrogen bonds and stacking interactions are considered in the ARG590 complex with statins. There is not any stacking interaction for mevastatin and simvastatin in the type I statins for the absence of the 4-fluorophenyl ring. In addition, the results from the binding energy of the second-generation statins are relatively compatible with the geometric parameters of the stacking interaction (Table 2). Thus, atorvastatin with improper geometric parameters has the lowest binding energy among the second generation of statins. Conversely, cerivastatin with proper geometric parameters has the maximum binding energy. Costa et al . indicated that the ARG590 complexation with statins is the strongest enzyme complexation after the Lysine 635. 21 However, they did not have any analysis on this complexation. They reported the strength of the ARG590 interaction with statins to be rosuvastatin ˃ fluvastatin ≤ simvastatin ˃ atorvastatin. They reported that the ARG590 interacts with the type II statins through hydrogen bonding: N–H of guanidinium group with the fluorine atom of these statins. They also pointed out that the fluorine atom in the type II statins does not remarkably affect the energy of enzyme-statin interaction comparing with the type I statins such as simvastatin, which interact with ARG590 through the butyryl group and an HMGR structure. However, the results of our studies do not confirm these results. The aforementioned trend demonstrates that the interaction energy of ARG590 with all types of II statins (even with atorvastatin) is higher than the interaction energy with simvastatin (Table 3). Moreover, the next part of our studies indicates that there is no interaction between the hydrogens of the guanidinium group and the fluorine atom of statin. Indeed, stacked cation–π interaction is identified as the main interaction between ARG590 and the type II statins. HS and BS analyses Hirshfeld/Becke surface analysis as quantitative analysis of molecular surface signifies a unique method to reveal weak interactions between fragments in complex. They are the type of inter-fragment surface, which are defined based on the theory of Hirshfeld 69 and Becke 70 weights. These analyses are useful to reveal the zone where intermolecular interaction is evident. The 3D HS and BS engendered for the complex of statins with ARG590 residue highlight the red zones which correspond to high electron density region, which is a result of intermolecular interaction (Fig. 7 and Fig. 8). There is a red region for all statins arising from hydrogen bond, between their β -hydroxyl and the hydrogens of ARG590. For the second type of statins, there is another red region that is ever not seen for first type of statins, owing to 4-fluorophenyl interaction. These analyzes also clarify the orientation difference in the hydrogen bond of simvastatin and atorvastatin, as noted in “geometryˮ section. This difference generates another red zone in two statins, which arises from intermolecular interaction of ARG590 with their carboxylic group. In BS analysis, in addition to exposing the intermolecular interactions as red zones, the surface maxima are marked (the orange points in Fig. 7) and quantitated. The global surface maxima for all statins are related to ARG590 hydrogen bond with their β -hydroxyl group. As the statin molecule is varied from atorvastatin, simvastatin, cerivastatin, rosuvastatin, mevastatin, to fluvastatin, the electron density value at these maxima decreases from 0.0565, to 0.0559, to 0.0551, to 0.0541, to 0.0489, to 0.0362 au, respectively. It is expected the hydrogen bond strength reduces due to this trend. Also, in relation to ARG590 interaction with 4-fluorophenyl group in type II statins, the order of electron density values at these maxima are 0.0360, 0.0188, 0.0168, and 0.0111 au for atorvastatin, cerivastatin, rosuvastatin, and fluvastatin, respectively. These results are very dissimilar for ARG590 interaction with the butyryl group in type I statins, since the electron density values for the mevastatin and simvastatin are 0.0013 and 0.0022 au, respectively. As a result, the qualitative outcomes of HS and BS analyzes generally show that ARG590 interaction with the side section of type II statins is stronger than the type I, but the quantitative trends of BS analysis disagree with the results of prior sections. AIM Analysis The QTAIM, as a suitable method, could help in the scrutiny of noncovalent interactions. As hydrogen bonds and stacked cation–π are considered as two main noncovalent interactions, they have been always heeded in molecules, crystals, protein, etc. This theory affectively helps evaluate and quantify these interactions. In this theory, the amounts of ρ (r) and ∇ 2 ρ (r) determine the interaction type. The high amount of (>10 −1 a.u.) ρ (r) and the negative amount of ∇ 2 ρ (r) in BCP both characterizes the covalent interaction. In contrast, the small amount of (≤ 10 -2 a.u.) ρ (r) and the positive amount of ∇ 2 ρ (r) in BCP both indicate the noncovalent interaction. Since the electron density amount in BCP can be regarded as an excellent criterion to assess the strength of noncovalent interactions, several studies have been done to extract the relationship between electron density and strength of hydrogen bonding and π –stacking interaction. If the hydrogen binding system is considered as A–H B, Robertazzi and Platts 71 indicated that there is a linear relation (r 2 = 0.974) between the energy of this stability interaction ( E HB ) and the increment of the electron density in H B BCP and the reduction of electron density in A–H bond (Eq. 2). (2) Moreover, this team in another research work 72 for a range of π–stacked complexes have been able to figure out a linear relationship between the binding energy and ∑ ρ π with r 2 =0.950, and the standard deviation of 2.0 kJ/mol (Eq. 3). (3) In the previous sections, it was pointed out that the hydrogens of guanidinium group in ARG590 made the hydrogen bonds to β -hydroxyl group of heptanoic acid in statins and (Fig. 4). In AIM analysis, the presence of two BCP among the hydrogens of guanidinium group and the oxygen at β -hydroxyl proves the formation of hydrogen bonds in all statins except simvastatin and atorvastatin (Fig. 9). The direction of these two molecules in complex with guanidinium is set in a way that only one hydrogen gets close to the oxygen at β substitution; therefore, only one BCP is observed at which the ρ (r) is maxima for these two statins compared with other statins. For other statins, it is also noted that the strength of the two hydrogen bonds is not identical (Table 4). There is a BCP between the hydrogen of guanidinium group and the oxygen of the carboxylic acid of statins. It is inferred that there is another hydrogen bond in the statins complex with ARG590. Here is again an exception in simvastatin and atorvastatin. There is a BCP between oxygen and nitrogen, instead of hydrogen, which is not the hydrogen bond, it can be a salt-bridge interaction. Based on the ρ (r) data taken from H B BCP and A–H bond and their arrangement in equation 2 for figuring out the E HB , the hydrogen bond of statins is increased as fluvastatin < mevastatin < simvastatin < atorvastatin < rosuvastatin < cerivastatin (Table 4). Before Robertazzi and Platts, Espinosa et al . 73 tried to estimate the strength of hydrogen bonding. Thus, they indicated that the stability energy ( E ' HB ) of this interaction has a direct relationship with the amount of the local electronic potential energy density (V(r)) in H B BCP (Eq. 4). Due to the E ' HB amounts taken from Eq. 4, the strength of hydrogen bond of statins with ARG590 is exceeded as fluvastatin < simvastatin < mevastatin < atorvastatin < rosuvastatin < cerivastatin (Table 4). Equations (2) and (4) put mevastatin and simvastatin back and forth and also almost reflect a relatively similar trend to estimate the energy of hydrogen bonding of statins with ARG590. However, it is noteworthy that neither of these trends are compatible with the binding energy trend of the statins complex with ARG590 (the energy section). Also, in simvastatin complex, there are two BCPs between the hydrogens of butyryl group and the nitrogen atoms of guanidinium where two weak hydrogen bonds are figured out. However, there is only one BCP for mevastatin, other type I statin (Table 5). Including these weak hydrogen bonds and even the salt-bridge interaction associated with simvastatin and atorvastatin reveal that these trends are not close to the binding energy trend. Such incompatibility reveals that there must be another important noncovalent interaction in the complex between statins and ARG590 rather than hydrogen bonding. As aforementioned, this interaction is stacked cation–π in which the planar side of guanidinium is actually interacted with the 4-fluorophenyl ring in the type II statins. In mevastatin and simvastatin as the type I statins, the results of AIM analysis present that there is no other BCP between these drugs and ARG590 except the aforementioned hydrogen bonding. The condition is different for the type II statins because there are two BCPs between ARG590 and 4-fluorophenyl ring of statin molecules, which denote the stacked cation–π interaction. There is a BCP between nitrogen of ARG590 and carbon of the ring and a BCP between nitrogen of ARG590 and fluorine of the ring (Fig. 9). In atorvastatin, exceptionally here a BCP exists between hydrogen of –CH 2 group of ARG590 and fluorine instead of former BCP, which signifies a new hydrogen bonding. However, equation 3 is extracted for π–π stacking interactions, but it is certainly possible to examine cation–π interaction strength by comparing ∑ ρ π . Due to the ρ (r) data taken from these two BCPs ( ∑ ρ π ), the strength of cation–π interaction with ARG590 increases as atorvastatin < fluvastatin < rosuvastatin < cerivastatin (Table 5). These results are fully consistent with the results of the previous sections including ESP maps, LOLIPOP Indication, and geometry. Also, these results and the results of the hydrogen bond will justify the binding energy trend in the “energyˮ section. NCI and IGM analyses Noncovalent interaction (NCI) 74 and independent gradient model (IGM) 75,76 analyses as complements to the Bader’s theory (QTAIM) and visual methods can help to characterize weak interactions. They play a vital role in the biological molecular recognition of ligand–protein in the field of drug-design. 75 The NCI method enables the identification and visualization of regions of weak interactions in the 3D real space based on analysis of the electron densities, ρ (r), and providing isosurfaces of their reduced gradients, s ( ρ ). The noncovalent interactions will be predicted in regions where the ρ (r) and s ( ρ ) are low and their strength is correlated to the value of ρ (r) in the corresponding regions. Van der Waals interaction regions have very small ρ (r), while the regions corresponding to attractive and repulsive interactions have relatively large ρ (r). Besides, the (3, –1) type of critical point designates attractive interaction; while (3, +1) type critical point designates repulsive interaction in Bader’s AIM theory. Thus, the sign of the second eigenvalue of the electron density's Hessian matrix (l 2 ) discerns attractive from repulsive interactions. However, the attractive interactions such as Hydrogen bond with ρ (r) > 0 and l 2 0 and l 2 > 0 (red) can be visualized on isosurfaces of s ( ρ ), as shown for the complex of statins with ARG590 (Fig. 10). The NCI isosurfaces not only determine where weak interaction occurs, but also easily capture the interaction type by colors. Through these isosurfaces, the important following results are inferred: (1) There are significant differences between the strength of the two hydrogen bonds and the left one is stronger; (2) The interaction of the guanidinium group with the butyryl group in type I statins is less than that with 4-fluorophenyl group in type II statins; (3) the significant green isosurface between guanidinium group and 4-fluorophenyl group in type II statins is a good evidence to the existence of the cation–π interaction; (4) The blue isosurface is visible between hydrogen of –CH 2 group of ARG590 and fluorine of atorvastatin, which exposes a hydrogen bond. Nevertheless, there is no such interaction for any of the second type statins. All of these results are consistent with the results from AIM analysis. IGM method as a very useful way of visually studying interfragment- intrafragment interaction has been proposed recently. It only determines where weak interaction occurs and its strength. So IGM isosurfaces do not provide information about the type of interaction. The IGM method shows the intrafragment interactions in the statins complex with ARG590, inclusive hydrogen bonds, salt-bridge interaction, and cation–π interaction by green isosurfaces in different dimensions, which denote their strength (Fig. 11). Conclusion The HMG structure exists as the principal fragment in the structure of all statins because it can harness the catalytic role of HMG-CoA reductase. Their lateral and hydrophobic fragment distinguishes the structure of statins. The chiral decalin rings are remarkably identified as a lateral and hydrophobic part in the type I statins; however, the non-chiral pyrrole and pyrimidine are recognized in the type II statins. Moreover, the 4-fluorophenyl group exists as a constant substitution in pyrrole and pyrimidine rings in second generation statins. Any accurate and proper studies haves not been reported yet on the role of effective substitution and the interaction of this substitution with enzyme. The present research studied the interaction of this substitution with HMG-CoA reductase enzyme for the first time. It was demonstrated that the 4-fluorophenyl group with ARG590 residue can have stacked cation–π interaction. This study also revealed a new interaction between the type II statins with ARG590 residue of enzyme. The hydrogens of the statins complex with ARG590 optimized based on the existing crystallographic structures using the M06/6-311++G** method. Also, the energy of the optimized structures was calculated using MP2/6-31G (0.25)* method. The complex structures of statins with ARG590 indicate that the hydrogens of guanidinium have targeted β-hydroxyl group of heptanoic acid in statins and they make two hydrogen bonds. In fact, three sp 2 nitrogen atoms will be prepared to make stacked interaction with aromatic rings by targeting and involving the N-H hydrogens. This stacked interaction has been provided by the substitution of 4-fluorophenyl in the type II statins. The binding energy of ARG590 with statins increases from 23 to 30 kcal/mol based on the binding strength for cerivastatin, fluvastatin, rosuvastatin, atorvastatin, simvastatin, and mevastatin , respectively. These results indicate that, in comparison with the type I statins (mevastatin and simvastatin), ARG590 makes a stronger complex with the type II statins (fluvastatin, cerivastatin, atorvastatin, rosuvastatin). Additionally, the AIM calculations indicated the cation–π and hydrogen bond interactions between ARG590 and statins. Eventually, the statins could provide superior planar cation–π interaction. They have a stronger complex with ARG590 residue. This means that the type II statins have a stronger interaction with enzyme because of its stacked orientation with ARG590. Declarations Competing Interests There is no conflict of interest to declare. Funding This research was funded by Tarbiat Modares University. Acknowledgments Support from Tarbiat Modares University is gratefully acknowledged. The authors wish to thank Dr. Zahra A. Tehrani for many helpful discussions. Authors' contributions Aliakbar Ahmadi: conceptualization, data curation, methodology, and original draft. Mojgan Ayoubi-Chianeh: conceptualization, data analysis, writing, review, and editing. Mohamad Z. Kassaee: conceptualization, review, and editing. Alireza Fattahi: conceptualization, and data curation. References Roth, G. A.; Johnson, C.; Abajobir, A.; Abd-Allah, F.; Abera, S. F.; Abyu, G.; Ahmed, M.; Aksut, B.; Alam, T.; Alam, K.; Alla, F.; Alvis-Guzman, N.; Amrock, S.; Ansari, H.; Ärnlöv, J.; Asayesh, H.; Atey, T. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-2528724","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":171954068,"identity":"40a1f95e-12e8-45d2-854e-2f8751684d56","order_by":0,"name":"Aliakbar Ahmadi","email":"","orcid":"","institution":"Tarbiat Modares University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Aliakbar","middleName":"","lastName":"Ahmadi","suffix":""},{"id":171954069,"identity":"745b91eb-25d8-4284-b565-db580d20d800","order_by":1,"name":"Mojgan Ayoubi-Chianeh","email":"","orcid":"","institution":"Tarbiat Modares University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Mojgan","middleName":"","lastName":"Ayoubi-Chianeh","suffix":""},{"id":171954073,"identity":"81831e94-1692-4e6e-9563-8505e759670d","order_by":2,"name":"Mohamad Z. 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Technology","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Alireza","middleName":"","lastName":"Fattahi","suffix":""}],"badges":[],"createdAt":"2023-01-30 08:59:27","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-2528724/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-2528724/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":32338781,"identity":"81f31301-842e-4f61-94ea-dd86368a21e4","added_by":"auto","created_at":"2023-02-01 16:41:40","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":125396,"visible":true,"origin":"","legend":"\u003cp\u003eChemical structure and main functional groups of type I (\u003cem\u003ea\u003c/em\u003e) and type II (\u003cem\u003eb\u003c/em\u003e) statins.\u003c/p\u003e","description":"","filename":"1.png","url":"https://assets-eu.researchsquare.com/files/rs-2528724/v1/2f63194eb02132b2b11c4332.png"},{"id":32338778,"identity":"4267e0be-fc23-425b-8347-69175f631ebb","added_by":"auto","created_at":"2023-02-01 16:41:40","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":544029,"visible":true,"origin":"","legend":"\u003cp\u003eType I (\u003cem\u003ea\u003c/em\u003e) and type II (\u003cem\u003eb\u003c/em\u003e) stains in complex with HMG-CoA reductase; 4-fluorophenyl in type II statins forming cation–π interaction with the guanidinium group of ARG590 residue.\u003c/p\u003e","description":"","filename":"2.png","url":"https://assets-eu.researchsquare.com/files/rs-2528724/v1/545610cea3c48b5e9fab508a.png"},{"id":32339990,"identity":"73f4fea2-5793-42eb-bde4-b662bfe352e0","added_by":"auto","created_at":"2023-02-01 16:49:40","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":312930,"visible":true,"origin":"","legend":"\u003cp\u003eThe\u003cstrong\u003e \u003c/strong\u003e3D interaction diagrams for all detected binding site of type I (\u003cem\u003eorange zone\u003c/em\u003e) and type II (\u003cem\u003egreen zone\u003c/em\u003e) statins with HMG-CoA reductase from PLIPresults.\u003c/p\u003e","description":"","filename":"3.png","url":"https://assets-eu.researchsquare.com/files/rs-2528724/v1/67fd3beb0bcbc816ed449495.png"},{"id":32339989,"identity":"7923662c-3c36-4e3d-8b88-57506cd2b482","added_by":"auto","created_at":"2023-02-01 16:49:40","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":126523,"visible":true,"origin":"","legend":"\u003cp\u003eOptimized\u003cstrong\u003e \u003c/strong\u003ethe position of added hydrogen atoms by the M06/6-311++G** method for type I (\u003cem\u003ea\u003c/em\u003e) and type II (\u003cem\u003eb\u003c/em\u003e) statins complex with ARG590 from X-ray crystal structures.\u003c/p\u003e","description":"","filename":"4.png","url":"https://assets-eu.researchsquare.com/files/rs-2528724/v1/2a0e7a3bf0dac25184e469e0.png"},{"id":32338789,"identity":"f1ceed1c-283b-4d6a-a22d-6a018dd55389","added_by":"auto","created_at":"2023-02-01 16:41:41","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":526147,"visible":true,"origin":"","legend":"\u003cp\u003eElectrostatic potential (ESP) maps for type I (\u003cem\u003ea\u003c/em\u003e) and type II (\u003cem\u003eb\u003c/em\u003e) statins, (\u003cem\u003ec\u003c/em\u003e) ARG590, and (\u003cem\u003ed\u003c/em\u003e) fluorobenzene with selected ESP maxima (blue points) and ESP minima (red points).\u003c/p\u003e","description":"","filename":"5.png","url":"https://assets-eu.researchsquare.com/files/rs-2528724/v1/33567b11d23dd285dacd3528.png"},{"id":32338779,"identity":"2597c808-72be-4c0a-a71c-599ece7142b7","added_by":"auto","created_at":"2023-02-01 16:41:40","extension":"png","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":24510,"visible":true,"origin":"","legend":"\u003cp\u003eSchematic view of the vital geometrical parameters of guanidinium group's interaction with 4-fluorophenyl substitution of type II statins.\u003c/p\u003e","description":"","filename":"6.png","url":"https://assets-eu.researchsquare.com/files/rs-2528724/v1/020a4b8cfa3bb0c59fe85d4e.png"},{"id":32339991,"identity":"ac5f7f23-4134-4367-b6e8-1078462b213c","added_by":"auto","created_at":"2023-02-01 16:49:40","extension":"png","order_by":7,"title":"Figure 7","display":"","copyAsset":false,"role":"figure","size":284515,"visible":true,"origin":"","legend":"\u003cp\u003eThe\u003cstrong\u003e \u003c/strong\u003e3D Becke surface generated for complex of ARG590 with type I (\u003cem\u003ea\u003c/em\u003e) and type II (\u003cem\u003eb\u003c/em\u003e) statins.\u003c/p\u003e","description":"","filename":"7.png","url":"https://assets-eu.researchsquare.com/files/rs-2528724/v1/caced7faccaf4532324e5b6b.png"},{"id":32338787,"identity":"e28dee57-e88f-4bef-bf2a-aaf4d79e0cc9","added_by":"auto","created_at":"2023-02-01 16:41:41","extension":"png","order_by":8,"title":"Figure 8","display":"","copyAsset":false,"role":"figure","size":171958,"visible":true,"origin":"","legend":"\u003cp\u003eThe\u003cstrong\u003e \u003c/strong\u003e3D Hirshfeld surface generated for complex of ARG590 with type I (\u003cem\u003ea\u003c/em\u003e) and type II (\u003cem\u003eb\u003c/em\u003e) statins.\u003c/p\u003e","description":"","filename":"8.png","url":"https://assets-eu.researchsquare.com/files/rs-2528724/v1/e645542d66cdf7d3667c0122.png"},{"id":32338788,"identity":"1534192a-6c74-405d-bf14-f1ff186321f6","added_by":"auto","created_at":"2023-02-01 16:41:41","extension":"png","order_by":9,"title":"Figure 9","display":"","copyAsset":false,"role":"figure","size":156914,"visible":true,"origin":"","legend":"\u003cp\u003eBond critical points (BCPs) and related bond paths (BPs) for complex of ARG590 with type I (\u003cem\u003ea\u003c/em\u003e) and type II (\u003cem\u003eb\u003c/em\u003e) statins from AIM analysis.\u003c/p\u003e","description":"","filename":"9.png","url":"https://assets-eu.researchsquare.com/files/rs-2528724/v1/4b195ec850caf8d368c36a3e.png"},{"id":32339993,"identity":"e2ef34dd-7252-41ab-b0d3-30bcb3b23f4b","added_by":"auto","created_at":"2023-02-01 16:49:41","extension":"png","order_by":10,"title":"Figure 10","display":"","copyAsset":false,"role":"figure","size":249136,"visible":true,"origin":"","legend":"\u003cp\u003eThe\u003cstrong\u003e \u003c/strong\u003eNCI isosurfaces indicating key intramolecular non-covalent interactions in complex of ARG590 with type I (\u003cem\u003ea\u003c/em\u003e) and type II (\u003cem\u003eb\u003c/em\u003e) statins.\u0026nbsp; The isosurfaces were constructed with RGD = 0.5 au and blue–red colors scaling from –0.05 au \u0026lt;sign (l\u003csub\u003e2\u003c/sub\u003e) \u003cem\u003eρ\u003c/em\u003e \u0026lt;+0.05 au.\u003c/p\u003e","description":"","filename":"10.png","url":"https://assets-eu.researchsquare.com/files/rs-2528724/v1/0945dc8a141207753bb33b8f.png"},{"id":32338783,"identity":"eeefdb1d-effb-4511-8746-4e1611f6842f","added_by":"auto","created_at":"2023-02-01 16:41:40","extension":"png","order_by":11,"title":"Figure 11","display":"","copyAsset":false,"role":"figure","size":129197,"visible":true,"origin":"","legend":"\u003cp\u003eThe\u003cstrong\u003e \u003c/strong\u003eIGM isosurfaces indicating main intrafragment interactions in complex of ARG590 with type I (\u003cem\u003ea\u003c/em\u003e) and type II (\u003cem\u003eb\u003c/em\u003e) statins.\u003c/p\u003e","description":"","filename":"11.png","url":"https://assets-eu.researchsquare.com/files/rs-2528724/v1/087c4283044f4e4b7b62ef00.png"},{"id":33313153,"identity":"fcc8c776-d4d4-4f0d-ace2-1886c389bdfe","added_by":"auto","created_at":"2023-02-23 00:29:26","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2938844,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-2528724/v1/1f0f6438-e70e-417d-88d6-68ec7e910010.pdf"},{"id":32340981,"identity":"6916683a-27fc-412f-ba16-d6605992c439","added_by":"auto","created_at":"2023-02-01 16:57:40","extension":"tif","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":4936516,"visible":true,"origin":"","legend":"","description":"","filename":"GraphicalAbstract.tif","url":"https://assets-eu.researchsquare.com/files/rs-2528724/v1/37bc56afe05183f70075d040.tif"}],"financialInterests":"No competing interests reported.","formattedTitle":"Revealing a novel and notable interaction in the binding of type II statins to HMG-CoA reductase: Stacked cation–π interaction","fulltext":[{"header":"Introduction","content":"\u003cp\u003eCardiovascular diseases have been reported as the main factors of death all around the world\u003csup\u003e1\u003c/sup\u003e including Iran\u003csup\u003e2\u003c/sup\u003e. Hypercholesterolemia (high cholesterol) is considered as the most important threat for cardiovascular diseases.\u003csup\u003e3,4\u003c/sup\u003e Therapeutically, it is significant to research and develop new drugs\u003csup\u003e5\u0026ndash;7\u003c/sup\u003e and devices\u003csup\u003e8,9\u003c/sup\u003e so as to decrease the level of blood cholesterol. Since the 1970s, statins have been considered as one of the most common chemotherapy methods of hypercholesterolemia because they have been able to control the 3-hydroxy-3-methyl-glutaryl-CoA (HMG-CoA) reductase enzyme.\u003csup\u003e10,11\u003c/sup\u003e The fact is that this enzyme catalyzes the transformation of HMG-CoA to mevalonate as the fundamental biosynthesis stage of cholesterol in the liver. Therefore, the statin designers have considered an HMG-like structure as the main and constant fragment in their designs to harness the catalytic role of HMG-CoA reductase and also to compete with the natural species to link the active site of the enzyme.\u003csup\u003e12\u0026ndash;16\u003c/sup\u003e\u003c/p\u003e\n\u003cp\u003eThe crystallographic studies of enzyme-statin complexes have indicated that the interactions of 6 famous statins (compactin/mevastatin, Zocor/simvastatin, Lescol/fluvastatin, Baycol\u003cspan dir=\"RTL\"\u003e/\u003c/span\u003ecerivastatin, Lipitor/atorvastatin, and Crestor/ rosuvastatin) with the active site is analogous to HMG-CoA, inclusive of \u0026nbsp;hydrogen bonds and dipolar/dipolar interactions with lysine 735,\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003elysine 69,\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003elysine 692,\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003earginine 590,\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003easpartic acid 690,\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003eserine 684, asparagine 755,\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003eglutamic acid 559\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003eamino acid residues.\u003csup\u003e17\u0026ndash;19\u003c/sup\u003e Another structural fragment of the statins is their hydrophobic moiety which has been modified to design new statins. Any changes in the chemical structure of this section may develop new interactions and more importantly increase interaction\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003estrength between the HMG-like moiety and the enzyme. Consequently, the drug potency will be enhanced.\u003csup\u003e19\u003c/sup\u003e Carbonnel and Fereire \u003cem\u003eet al\u003c/em\u003e. carried out the isothermal titration calorimetry (ITC) experiments to obtain the binding enthalpy of different statins by HMG-CoA reductase.\u003csup\u003e20\u003c/sup\u003e Costa \u003cem\u003eet al\u003c/em\u003e. used QM calculation to find the complex binding energy of each statin with the main amino acid residues of the active site separately in the range of 12\u0026Aring;.\u003csup\u003e21\u003c/sup\u003e Eventually, they showed that the activity of each statin is directly related to the sum of its complex binding energies.\u003c/p\u003e\n\u003cp\u003eMevastatin,\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003elovastatin, simvastatin, and pravastatin are the first generation of statins (type I) with natural origins. They include a chiral decalin ring as the hydrophobic section (Fig. 1a).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eWhile fluvastatin,\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003ecerivastatin, pitavastatin, atorvastatin, and\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003erosuvastatin are the second generation (type II) and they are fully synthetic.\u003csup\u003e10,19,20\u003c/sup\u003e Although an achiral pyrrole or pyrimidine ring has been replaced for the decalin ring (Fig. 1b), inhibition of HMG-CoA reductase has increased.\u003csup\u003e20\u003c/sup\u003e The 4-fluorophenyl group has been proved as an effective substitution of pyrrole or pyrimidine ring in designing and developing statin drugs.\u003csup\u003e12,13,15,16\u003c/sup\u003e Moreover, this group is identified as a constant one in all type II statins.\u003csup\u003e19\u003c/sup\u003e Costa \u003cem\u003eet al\u003c/em\u003e. just briefly pointed out the hydrogen bonding of this group with arginine 590.\u003csup\u003e21\u003c/sup\u003e Any other remarkable studies have not yet been reported about the type and the interaction potency of this important group with the active site and its effect on the drug activity.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThus, the present study has focused on the significant planar stacking interaction between the 4-fluorophenyl group of the type II statins and the guanidinium group of arginine 590 in the active site of HMG-CoA reductase (Fig. 2).\u003c/p\u003e\n\u003cp\u003eThis type of interaction has not been previously studied and can be applied to design new drugs. It should be pointed out that the Protein\u0026ndash;Ligand Interaction Profiler (PLIP)\u003csup\u003e22\u003c/sup\u003e does not remark this interaction (Fig. 3).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u0026nbsp;\u003c/strong\u003eWithin the past few decades, the interactions between arginine and aromatic side chains in proteins were generally called the amino-aromatic interactions, which have been considered more exactly as the cation\u0026ndash;\u0026pi; interactions.\u003csup\u003e23\u0026ndash;34\u003c/sup\u003e It has been proved that the aromatic rings mostly tend to have stacked interaction with guanidinium group including three atoms of sp\u003csup\u003e2\u003c/sup\u003e nitrogen; although they can act as receptors of NH bonds.\u003csup\u003e25\u003c/sup\u003e In this case, the NH bonds with its adjacent groups (hydrogen receptor) will make more conventional and stronger hydrogen bonds.\u003c/p\u003e\n\u003cp\u003eDougherty and his colleagues\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003edid a lot of research about the \u0026nbsp;cation\u0026ndash;\u0026pi; interactions in the biological structures.\u003csup\u003e35\u0026ndash;55\u003c/sup\u003e They reviewed the literature on the cation\u0026ndash;\u0026pi; interactions\u003csup\u003e41,44,53\u003c/sup\u003e in ligand recognition and catalysis.\u003csup\u003e56\u003c/sup\u003e As an essential strategy in drug design, they proposed that this interaction should be investigated besides the hydrophobic effect, hydrogen bonding and ion pairing when evaluating drug\u0026ndash;receptor interactions. In one of their recent works on cation\u0026ndash;\u0026pi; interactions,\u003csup\u003e54\u003c/sup\u003e the ability of several computational methods were evaluated for replicate experimental cation\u0026ndash;\u0026pi; binding energies. Moreover \u0026lsquo;\u0026lsquo;fluorination strategy\u0026rsquo;\u0026rsquo; was validated to study cation\u0026ndash;\u0026pi; interactions \u003cem\u003ein vivo\u003c/em\u003e.\u003c/p\u003e\n\u003cp\u003eConsidering the significance of cation\u0026ndash;\u0026pi; interaction in protein\u0026ndash;ligand\u0026nbsp;binding, two worthy papers on arginine\u0026ndash;arene interaction\u0026nbsp;have\u0026nbsp;most recently been published in \u003cem\u003eChemical Science\u003c/em\u003e.\u003csup\u003e57,58\u003c/sup\u003e\u003c/p\u003e\n\u003cp\u003eKumar \u003cem\u003eet al\u003c/em\u003e.\u003csup\u003e57\u003c/sup\u003e\u003cem\u003e\u0026nbsp;\u003c/em\u003ecompared the cationic amino acid residues arginine, histidine and lysine in cation\u0026ndash;\u0026pi; interaction with neutral aromatic ligands using \u003cem\u003eab initio\u003c/em\u003e calculations, symmetry adapted perturbation theory (SAPT), and systematic data-mining of protein structures from the PDB. They found empirically the arginine\u0026ndash;arene interaction is the most frequent and was also computed to be stronger than interaction for lysine in higher polarity surroundings.\u003c/p\u003e\n\u003cp\u003eNilsson and co-workers revealed that appropriate choosing of aromatic\u0026ndash;arginine interacting partners opens up for ligand-controlled protein conformations that may be developed in ligand design, systematically.\u003csup\u003e58\u003c/sup\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe interaction energy of different types of statins with arginine 590 has been calculated based on crystallographic structures using the M06 and MP2 methods. In addition, a set of calculations such as QTAIM, ESP, HS, BS, NCI and IGM analyses was applied to scrutinize the cation\u0026ndash;\u0026pi; and hydrogen bonding between guanidinium and statins. As a result, these interactions were achieved and their energy values were calculated. Conclusively, the developed statins with better stacking interaction have held stronger complex with arginine. Since the statins of the second generation have a specific stacked structure with arginine, they reveal a stronger interaction with the enzyme.\u003c/p\u003e"},{"header":"Computational Methods ","content":"\u003cp\u003eThe crystallographic data\u003csup\u003e18\u003c/sup\u003e of the HMG-CoA reductase enzyme complex with\u0026nbsp;mevastatin\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003e(PDB ID:1HW8), simvastatin (1HW9), fluvastatin\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003e(1HWI),\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003ecerivastatin (1HWJ),\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003eatorvastatin (1HWK),\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003erosuvastatin (1HWL)\u0026nbsp;were considered (Fig. 2) as the basis of extracting the primary structures of statins complex with arginine 590 in order to calculate and analyze the interactions based on Quantum Mechanical (QM). Then, the atoms of hydrogen were added to all the free valences. Wherever necessary, the head of the free amino acids was capped off by oxygen atoms. The heavy atoms were taken from the crystallographic structures, they were frozen, the position of all the added atoms was optimized by the M06/6-311++G**\u003csup\u003e59\u003c/sup\u003e method. For cation\u0026ndash;\u0026pi; interactions, Dougherty and their colleagues found that M06 performed very well.\u003csup\u003e54\u003c/sup\u003e\u003c/p\u003e\n\u003cp\u003eAmong all different computational methods practiced to analyze the \u003cspan dir=\"RTL\"\u003e\u0026pi;\u003c/span\u003e\u0026ndash; interactions, Hobza and coworkers indicated that MP2/6-31G (0.25)* method can be applied to many \u0026pi;-stacked systems with interesting results. Hence, the binding energy (\u003cem\u003eE\u003c/em\u003e\u003csub\u003eb\u003c/sub\u003e) of each (Statin-ARG)\u003csub\u003ecomplex\u0026nbsp;\u003c/sub\u003e(Eq. 1) was calculated from the related complex energy in the gas phase using MP2/6-31G(0.25)* method.\u003c/p\u003e\n\u003cp\u003e\u003cem\u003eE\u003c/em\u003e\u003csub\u003eb\u003c/sub\u003e = \u003cem\u003eE\u003c/em\u003e\u003csub\u003ecomplex\u0026nbsp;\u003c/sub\u003e\u0026ndash; \u003cem\u003eE\u003c/em\u003e\u003csub\u003estatin\u0026nbsp;\u003c/sub\u003e\u0026ndash; \u003cem\u003eE\u003c/em\u003e\u003csub\u003eARG \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;\u003c/sub\u003e(1)\u003c/p\u003e\n\u003cp\u003eThe Bader\u0026rsquo;s Quantum Theory of Atoms in Molecules (QTAIM) was utilized to verify and quantify the cation\u0026ndash;\u0026pi; interaction and to compare them with the present hydrogen bonding. In this analysis, there is one bond critical point (BCP) between every two atoms for each bond interaction. Properties like electron density, \u003cem\u003e\u0026rho;\u003c/em\u003e(r), Laplacian of electron density,\u0026nbsp;\u0026nabla;\u003csup\u003e2\u003c/sup\u003e\u003cem\u003e\u0026rho;\u003c/em\u003e(r), electronic kinetic energy density, G(r), electronic potential energy density, V(r), and electronic energy density, H(r) are calculated in this BCP. These parameters have been exceedingly employed to clarify the bond interactions.\u003c/p\u003e\n\u003cp\u003eThe \u003cem\u003e\u0026rho;\u003c/em\u003e(r) in BCP is remarked as the most fundamental topological parameter and it is also identified as a suitable criterion to assess the strength of the related interactions.\u003c/p\u003e\n\u003cp\u003eThe Spartan software\u003csup\u003e60\u003c/sup\u003e was employed to perform optimization and single point energy calculations. The MultiWFN program package\u003csup\u003e60\u003c/sup\u003e contributed to extract and analyze the topological parameters, quantitative molecular surfaces and visual study of weak interactions. The high quality plots was visualized \u003cem\u003evia\u003c/em\u003e VMD\u003csup\u003e63\u003c/sup\u003e and Chimera\u003csup\u003e64\u003c/sup\u003e programs.\u003c/p\u003e"},{"header":"Results And Discussion","content":"\u003cp\u003eThe structures of Statin\u0026ndash;Arg\u003csub\u003ecomplex\u003c/sub\u003e, Statin\u003csub\u003ecomplex\u003c/sub\u003e and ARG\u003csub\u003ecomplex\u0026nbsp;\u003c/sub\u003ewere optimized for all statins by M06/6-311++G** method and the energies of these structures were calculated by MP2/6-31G (0.25)* method due to the instruction pointed out in the calculation section (Fig. 4).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe interaction between ARG590 and different statins was first evaluated by different approaches including electrostatic potential (ESP) map; LOLIPOP index for the fragments alone, Statin\u003csub\u003ecomplex\u003c/sub\u003e and ARG\u003csub\u003ecomplex\u003c/sub\u003e, geometry of structure, energy, and quantitative molecular surface analyses; AIM analysis; and virtual analyses for Statin\u0026ndash;ARG\u003csub\u003ecomplex\u003c/sub\u003e.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eESP maps\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe electrostatic potential (ESP) maps\u003csup\u003e62\u003c/sup\u003e of two interacting species can be used to predict the strength and the potential location of \u0026nbsp;noncovalent interactions. The cation\u0026ndash;\u0026pi; interaction can be analyzed and explained as an important example of noncovalent interactions. Colors determine the potential values in electrostatic maps. Colors close to blue indicate remarkable positive ESP \u003csub\u003eand\u003c/sub\u003e those closer to red show remarkable negative ESP on the surface,\u003cem\u003e\u0026nbsp;\u003c/em\u003ecorresponding to the regions closed to the ESP maximum (\u003cem\u003eV\u003c/em\u003e\u003csub\u003es,max\u003c/sub\u003e) and minimum (\u003cem\u003eV\u003c/em\u003e\u003csub\u003es,min\u003c/sub\u003e), respectively. Orange, yellow, and green reveal the average ESP. The positive ESP (blue) tends to interact with nucleophiles (negative regions). On the other hand, the negative ESP (red) tends to interact with electrophiles (positive regions).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe ESP maps for all statins feature out that a remarkable negative ESP on their surfaces near the \u003cem\u003e\u0026beta;\u003c/em\u003e-hydroxyl of heptanoic acid as the hydrogen receptor group. The ESP minimum values (\u003cem\u003eV\u003c/em\u003e\u003csub\u003es, min\u003c/sub\u003e) are \u0026ndash;1.491 eV, \u0026ndash;1.463 eV, \u0026ndash;1.422 eV, \u0026ndash;1.416 eV, \u0026ndash;1.270 eV, and \u0026ndash;1.195 eV for cerivastatin, mevastatin, simvastatin, fluvastatin, rosuvastatin, and atorvastatin, respectively (Fig. 5).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eUnder the same conditions, this trend can be similar to the trend of hydrogen bond strength between the \u003cem\u003e\u0026beta;\u003c/em\u003e-hydroxyl of statins and the hydrogens of ARG590. Faced with ARG590, mevastatin and simvastatin as type I statins have another notable negative ESP on surface. These ESPs are the global minima with \u0026ndash;1.605 eV and \u0026ndash;1.561 eV values, correspondingly. The large negative value is due to the carbonyl lone pairs of butyryl group (Fig. 5a). While type II statins place 4-fluorophenyl substitution on the face of ARG590 (Fig. 5b).\u003c/p\u003e\n\u003cp\u003eARG590 as a cation species holding a global positive ESP (\u003cem\u003eV\u003c/em\u003e\u003csub\u003es, max\u003c/sub\u003e= +6.55 eV) on its surface with guanidinium hydrogens\u0026nbsp;can make a strong hydrogen bond with hydrogen receptor groups. Also, the three identical local positive ESP (\u003cem\u003eV\u003c/em\u003e\u003csub\u003es, max\u003c/sub\u003e= +4.64 eV) on its blue surface is able to make interaction with negative ESP region such as \u0026pi;\u0026ndash;electrons (Fig. 5c).\u003c/p\u003e\n\u003cp\u003eTwo types of remarkable negative ESPs are on the fluorobenzene surface which arise from the abundant \u0026pi; electrons above and below its ring (\u003cem\u003eV\u003c/em\u003e\u003csub\u003es, min\u0026nbsp;\u003c/sub\u003e=\u0026nbsp;\u0026ndash;0.604 eV), and owing to the lone pairs of fluorine atom (\u003cem\u003eV\u003c/em\u003e\u003csub\u003es, min\u0026nbsp;\u003c/sub\u003e= \u0026ndash;0.886 eV) (Fig. 5d). The former means it has the ability to form \u0026pi;\u0026ndash;interactions; nevertheless, while the later means it has the ability to form hydrogen bonding. However, these two different negative ESPs can be seen on 4-fluorophenyl surface in all type II statins (Fig. 5b). The \u003cem\u003eV\u003c/em\u003e\u003csub\u003es, min\u003c/sub\u003e on the ring surface are \u0026ndash;0.802 eV, \u0026ndash;0.547 eV, \u0026ndash;0.435 eV, and \u0026ndash;0.264 eV for cerivastatin, rosuvastatin, fluvastatin, and atorvastatin, respectively. This trend shows cerivastatin and atorvastatin have the most and the least \u0026pi;\u0026ndash;stacking ability, respectively. Also, the \u003cem\u003eV\u003c/em\u003e\u003csub\u003es, min\u003c/sub\u003e on the fluorine atom surface are \u0026ndash;0.914 eV, \u0026ndash;0.913 eV, \u0026ndash;0.787 eV, and \u0026ndash;0.706 eV for fluvastatin, cerivastatin, atorvastatin, and rosuvastatin, respectively.\u003c/p\u003e\n\u003cp\u003eTherefore, the electrostatic potential (ESP) maps as an effective approach can be used for evaluation of the statins ability to interact with ARG590 and predict the strength of interactions. But since the geometry of these interactions is characterized exactly in optimum mode of enzyme-ligand complex, this prediction may change in practice. \u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eLOLIPOP Indication\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eGonthier \u003cem\u003eet al\u003c/em\u003e.\u003csup\u003e65\u003c/sup\u003e investigated the \u0026pi;\u0026ndash;stacking ability of organic molecules and suggested\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003e\u0026pi;\u0026ndash;depletion as a main drawing principle and introduced a quantitative criterion (localized orbital locator integrated pi over plane) LOLIPOP. They proved that rings with lower amount of LOLIPOP actually score a stronger \u0026pi;\u0026ndash; depletion. In another word, rings with lower \u0026pi;\u0026ndash;delocalization will have a stronger \u0026pi;\u0026ndash;stacking ability.\u003c/p\u003e\n\u003cp\u003eThe LOLIPOP is defined as definite integral of LOL\u0026ndash;\u0026pi; (the LOL purely contributed by \u0026pi;\u0026ndash;orbitals) from a distance of 0.5\u0026Aring; away from the molecular plane.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eSince we want to investigate the stacked cation\u0026ndash;\u0026pi; interactions in this study, it is important to examine the \u0026pi;\u0026ndash;stacking ability of 4-fluorophenyl substitution independent of their encounter with ARG590 residue of the enzyme. So, we used the LOLIPOP indication here. \u0026nbsp; This index for the aromatic ring of 4-fluorophenyl in the type II statins is much less for the distinct fluorobenzene ring (10.883). The LOLIPOP values for atorvastatin, fluvastatin, rosuvastatin, and cerivastatin are 5.167, 4.839, 4.181 and 3.887, respectively (Table 1). However, 4-fluorophenyl substitution in all types of II statins will have a stronger \u0026pi;\u0026ndash;stacking ability than fluorobenzene. Also, these results are exactly compatible with the results obtained for the ESP minimum values (\u003cem\u003eV\u003c/em\u003e\u003csub\u003es, min\u003c/sub\u003e) discussed in the previous section.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eTable 1.\u0026nbsp;\u003c/strong\u003eLOLIPOP index for 4-fluorophenyl ring of type II statins and fluorobenzene.\u003c/p\u003e\n\u003cdiv\u003e\n \u003ctable border=\"0\" cellpadding=\"0\" cellspacing=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"52.9595015576324%\"\u003e\n \u003cp\u003e\u003cstrong\u003eStatin\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"47.0404984423676%\"\u003e\n \u003cp\u003e\u003cstrong\u003eLOLIPOP index\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"52.9595015576324%\"\u003e\n \u003cp\u003eFluorobenzene\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"47.0404984423676%\"\u003e\n \u003cp\u003e10.883\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"52.9595015576324%\"\u003e\n \u003cp\u003eFluvastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"47.0404984423676%\"\u003e\n \u003cp\u003e4.839\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"52.9595015576324%\"\u003e\n \u003cp\u003eCrivastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"47.0404984423676%\"\u003e\n \u003cp\u003e3.887\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"52.9595015576324%\"\u003e\n \u003cp\u003eAtorvastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"47.0404984423676%\"\u003e\n \u003cp\u003e5.167\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"52.9595015576324%\"\u003e\n \u003cp\u003eRosuvastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"47.0404984423676%\"\u003e\n \u003cp\u003e4.181\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n \u003c/table\u003e\n\u003c/div\u003e\n\u003cp\u003e\u003cstrong\u003eGeometry\u003c/strong\u003e\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003e\u003c/p\u003e\n\u003cp\u003eThe structures of ARG590 complexed with statins indicates that the hydrogens of guanidinium group orient toward the \u003cem\u003e\u0026beta;\u003c/em\u003e-hydroxyl group of heptanoic acid in all statins and it forms two hydrogen bonds (Fig. 4).\u003c/p\u003e\n\u003cp\u003eBy this orientation and the involvement of N-H hydrogens, three sp\u003csup\u003e2\u003c/sup\u003e nitrogen atoms tend to make stacked cation\u0026ndash;\u0026pi; interaction with aromatic rings. Regarding the presence of 4-fluorophenyl ring in type II statins, the conditions for stacked interaction are provided. The geometrical orientation of type II statins with ARG590 has been defined by three specific angles and distances (Fig. 6).\u003c/p\u003e\n\u003cp\u003eThe angles include a dihedral angle between two planes, \u003cem\u003e\u0026alpha;\u003c/em\u003e,\u003cem\u003e\u0026nbsp;\u003c/em\u003eand the angles which provide a linking line between two centers of the planar sections with two extended planes of \u003cem\u003e\u003cspan dir=\"RTL\"\u003e\u0026theta;\u003c/span\u003e\u003c/em\u003e\u003csub\u003e1\u003c/sub\u003e\u003cem\u003e\u0026nbsp;\u003c/em\u003eand \u003cem\u003e\u003cspan dir=\"RTL\"\u003e\u0026theta;\u003c/span\u003e\u003c/em\u003e\u003csub\u003e2\u003c/sub\u003e\u003cem\u003e.\u0026nbsp;\u003c/em\u003eThe distances also include the distance between centers of two planes, \u003cem\u003ed\u003c/em\u003e, and horizontal distance, \u003cem\u003eh\u003c/em\u003e, and vertical distance, \u003cem\u003ev\u003c/em\u003e, between two interaction groups.\u003csup\u003e66,67\u003c/sup\u003e The angles specify the planar interaction configuration and the distances determine the planar interaction intensity of two groups. Three planar interaction types are defined based on the interplanar angle division:\u003csub\u003e\u0026nbsp;\u003c/sub\u003e originating from the stacked and parallel type of configuration, \u0026nbsp;, referring to diagonal type of configuration and finally \u0026nbsp;, coming from the orthogonal type of configuration. The \u003cem\u003e\u003cspan dir=\"RTL\"\u003e\u0026theta;\u003c/span\u003e\u003c/em\u003e\u003csub\u003e1\u003c/sub\u003e and \u003cem\u003e\u003cspan dir=\"RTL\"\u003e\u0026theta;\u003c/span\u003e\u003c/em\u003e\u003csub\u003e2\u003c/sub\u003e\u003cem\u003e\u0026nbsp;\u003c/em\u003edetermine the relative situation of two planes and also distinguish configurations such as partial to complete, edge to edge and edge to center.\u003csup\u003e66\u003c/sup\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eAs \u0026nbsp;varies from 13.85\u0026deg; to 21.78\u0026deg; for the planar interaction of the type II statins (Table 2), it is concluded that the configuration of the planar interactions is a stacked type. In addition, the \u003cem\u003e\u003cspan dir=\"RTL\"\u003e\u0026theta;\u003c/span\u003e\u003c/em\u003e\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003e\u003csub\u003e1\u003c/sub\u003e and \u003cem\u003e\u003cspan dir=\"RTL\"\u003e\u0026theta;\u003c/span\u003e\u003c/em\u003e\u003csub\u003e2\u003c/sub\u003e\u003cem\u003e\u0026nbsp;\u003c/em\u003eangles differ from 31.91\u0026deg; to 43.04\u0026deg; and from 46.59\u0026deg; to 59.62\u0026deg;, indicating that both angles are at the extension of 30˚ to 60˚ and a relatively suitable stacking interaction is developed. Such arrangement is reported in most of guanidinium interactions with aromatic rings in proteins.\u003csup\u003e66\u003c/sup\u003e\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eTable 2\u0026nbsp;\u003c/strong\u003eGeometrical parameters of the complex of ARG590 with statins.\u003c/p\u003e\n\u003cdiv\u003e\n \u003ctable border=\"0\" cellpadding=\"0\" cellspacing=\"0\" width=\"642\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"17.573872472783826%\"\u003e\n \u003cp\u003e\u003cstrong\u003eStatin\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"14.618973561430794%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u003cem\u003ed\u003c/em\u003e\u003c/strong\u003e\u003cstrong\u003e\u003csub\u003e(H-bond)\u003c/sub\u003e\u003c/strong\u003e\u003cstrong\u003e1\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e(\u0026Aring;)\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"14.618973561430794%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u003cem\u003ed\u003c/em\u003e\u003c/strong\u003e\u003cstrong\u003e\u003csub\u003e(H-bond)\u003c/sub\u003e\u003c/strong\u003e\u003cstrong\u003e2\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e(\u0026Aring;)\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u003cem\u003e\u0026alpha;\u003c/em\u003e\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e(\u0026deg;)\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u003cem\u003e\u003cspan dir=\"RTL\"\u003e\u0026theta;\u003c/span\u003e\u003c/em\u003e\u003c/strong\u003e\u003cstrong\u003e\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003e\u003c/strong\u003e\u003cstrong\u003e\u003csub\u003e1\u003c/sub\u003e\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e(\u0026deg;)\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u003cem\u003e\u003cspan dir=\"RTL\"\u003e\u0026theta;\u003c/span\u003e\u003c/em\u003e\u003c/strong\u003e\u003cstrong\u003e\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003e\u003c/strong\u003e\u003cstrong\u003e\u003csub\u003e2\u003c/sub\u003e\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e(\u0026deg;)\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u003cem\u003ed\u003c/em\u003e\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e(\u0026Aring;)\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u003cem\u003ev\u003c/em\u003e\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e(\u0026Aring;)\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u003cem\u003eh\u003c/em\u003e\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e(\u0026Aring;)\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"17.573872472783826%\"\u003e\n \u003cp\u003eMevastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"14.618973561430794%\"\u003e\n \u003cp\u003e2.261\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"14.618973561430794%\"\u003e\n \u003cp\u003e2.128\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u0026ndash;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u0026ndash;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u0026ndash;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u0026ndash;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u0026ndash;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u0026ndash;\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"17.573872472783826%\"\u003e\n \u003cp\u003eSimvastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"14.618973561430794%\"\u003e\n \u003cp\u003e2.314\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"14.618973561430794%\"\u003e\n \u003cp\u003e1.883\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u0026ndash;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u0026ndash;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u0026ndash;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u0026ndash;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u0026ndash;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e\u0026ndash;\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"17.573872472783826%\"\u003e\n \u003cp\u003eFluvastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"14.618973561430794%\"\u003e\n \u003cp\u003e2.262\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"14.618973561430794%\"\u003e\n \u003cp\u003e2.308\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e13.85\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e42\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e54.18\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e4.579\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"8.864696734059098%\"\u003e\n \u003cp\u003e3.403\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e3.064\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"17.573872472783826%\"\u003e\n \u003cp\u003eCerivastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"14.618973561430794%\"\u003e\n \u003cp\u003e2.278\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"14.618973561430794%\"\u003e\n \u003cp\u003e2.118\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e21.78\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e40.51\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e59.62\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e4.450\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"8.864696734059098%\"\u003e\n \u003cp\u003e3.383\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e2.891\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"17.573872472783826%\"\u003e\n \u003cp\u003eAtorvastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"14.618973561430794%\"\u003e\n \u003cp\u003e2.305\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"14.618973561430794%\"\u003e\n \u003cp\u003e1.890\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e18.77\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e31.91\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e46.59\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e4.808\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"8.864696734059098%\"\u003e\n \u003cp\u003e4.081\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e2.541\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"17.573872472783826%\"\u003e\n \u003cp\u003eRosuvastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"14.618973561430794%\"\u003e\n \u003cp\u003e2.279\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"14.618973561430794%\"\u003e\n \u003cp\u003e2.078\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e16.38\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e43.04\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e57.91\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e4.380\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"8.864696734059098%\"\u003e\n \u003cp\u003e3.201\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"8.864696734059098%\"\u003e\n \u003cp\u003e2.989\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n \u003c/table\u003e\n\u003c/div\u003e\n\u003cp\u003eThe carbon distance of guanidinium group (as the center of this group) from the ring center of the 4-fluorophenyl statin, \u003cem\u003ed\u003c/em\u003e, varies from 4.380 \u0026Aring; to 4.808 \u0026Aring;. This range of distance is completely coped with the average distance reported for most of planar stacking of guanidinium group and aromatic rings in proteins.\u003csup\u003e34,68\u003c/sup\u003e The horizontal distance length, \u003cem\u003eh\u003c/em\u003e, is more than the vertical distance for ARG590 and type II statins interactions. The increase of the horizontal distance demonstrates the overlapping decrease of two planar groups in stacking interaction. In reverse, the decrease of the vertical distance reveals that they are closer to one another and the strength of the stacking interaction is increased. The aromatic ring of atorvastatin has the maximum distance of centeriod to centeriod (d=4.808 \u0026Aring;) and horizontal distance (\u003cem\u003eh\u003c/em\u003e = 4.081 \u0026Aring;) toward ARG590 although its vertical distance is the least (\u003cem\u003ev\u003c/em\u003e = 2.541 \u0026Aring;) among the type II statins. However, the aromatic ring of fluvastatin has the highest vertical gap (\u003cem\u003ev\u003c/em\u003e = 3.064 \u0026Aring;) and it has the second rank after atorvastatin at the center-to-center distance (\u003cem\u003ed\u003c/em\u003e = 4.58 \u0026Aring;) and the horizontal distance (\u003cem\u003eh\u003c/em\u003e = 3.403 \u0026Aring;) toward ARG590. The 4-fluorophenyl of rosuvastatin and cerivastatin with the center-to-center distance of 4.380 \u0026Aring; and 4.450 \u0026Aring; and with the horizontal distance of 3.201 \u0026Aring; and 3.383 \u0026Aring; have the least magnitude of \u003cem\u003ed\u003c/em\u003e and \u003cem\u003eh\u003c/em\u003e to ARG590, respectively. The vertical distance of cerivastatin toward ARG590 (\u003cem\u003ev\u003c/em\u003e = 2.891 \u0026Aring;) is less than that of rosuvastatin (\u003cem\u003ev\u003c/em\u003e = 2.989 \u0026Aring;).\u003c/p\u003e\n\u003cp\u003eBesides considering the geometry of the stacking interaction, the geometry of the hydrogen bond of ARG590 with different statins can be explored because targeting of the hydrogens of guanidinium group with \u003cem\u003e\u0026beta;\u003c/em\u003e-hydroxyl of heptanoic acid at statins includes two different models. The distances of both hydrogens from oxygen atom are in the same range in mevastatin,\u0026nbsp;fluvastatin,\u0026nbsp;cerivastatin, and rosuvastatin, while they are different in simvastatin and atorvastatin. In the latter, the guanidinium group makes a stronger bond with the hydroxyl from one side than two sides\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003e(Table 2). This orientation difference in hydrogen bond can explain the difference between geometric parameters in the planar interaction of the 4-fluorophenyl ring of atorvastatin and the 4-fluorophenyl ring of other type II statins.\u003c/p\u003e\n\u003cp\u003eAs mentioned in the \u0026ldquo;ESP mapsˮ section, the global ESP minimum on the type I statins surface is due to the carbonyl lone pairs of butyryl group\u003cspan dir=\"RTL\"\u003e.\u003c/span\u003e Therefore, it is possible to make hydrogen bond with the hydrogens of ARG590. But this interaction is almost impossible geometrically, because the distance of oxygen of carbonyl group to hydrogen of ARG590 is very long; 3.931 \u0026Aring; and 4.779 \u0026Aring; for mevastatin and simvastatin, respectively. \u0026nbsp;\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eConsequently, as the type II statin is varied along cerivastatin, rosuvastatin, fluvastatin, and atorvastatin, their geometrical parameters for stacked cation\u0026ndash;\u0026pi; interaction with ARG590 become more and more unpleasant. This is entirely consistent with the results of the ESP maps and the LOLIPOP Indication discussed in previous sections.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u0026nbsp;\u003cstrong\u003eEnergy\u003c/strong\u003e\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003e\u003c/p\u003e\n\u003cp\u003eEventually, the \u003cem\u003eE\u003c/em\u003e\u003csub\u003eb\u0026nbsp;\u003c/sub\u003ewas calculated based on equation 1 (Table 3). The binding energy of ARG590 with statins increases from 23 to 30 kcal/mol, in accordance with the binding strength for cerivastatin \u0026gt; fluvastatin \u0026gt; rosuvastatin \u003cspan dir=\"RTL\"\u003e˃\u003c/span\u003e atorvastatin \u003cspan dir=\"RTL\"\u003e˃\u003c/span\u003e simvastatin \u003cspan dir=\"RTL\"\u003e˃\u003c/span\u003e mevastatin. These results indicate that ARG590 can make a stronger complex with the type II statins than the type I statins.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eTable 3.\u0026nbsp;\u003c/strong\u003eBinding energy (\u003cem\u003eE\u003c/em\u003e\u003csub\u003eb\u003c/sub\u003e) of the complex of ARG590 with statins, computed at the MP2/6-31G (0.25)* level of theory using the M06/6-311++G** geometries.\u003c/p\u003e\n\u003cdiv\u003e\n \u003ctable border=\"0\" cellpadding=\"0\" cellspacing=\"0\" width=\"340\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"50%\"\u003e\n \u003cp\u003e\u003cstrong\u003eStatin\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"50%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u003cem\u003eE\u003c/em\u003e\u003c/strong\u003e\u003cstrong\u003e\u003csub\u003eb\u0026nbsp;\u003c/sub\u003e\u003c/strong\u003e\u003cstrong\u003e(kcal/mol)\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"50%\"\u003e\n \u003cp\u003eMevastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"bottom\" width=\"50%\"\u003e\n \u003cp\u003e\u0026ndash;23.34\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"50%\"\u003e\n \u003cp\u003eSimvastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"bottom\" width=\"50%\"\u003e\n \u003cp\u003e\u0026ndash;23.47\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"50%\"\u003e\n \u003cp\u003eFluvastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"bottom\" width=\"50%\"\u003e\n \u003cp\u003e\u0026ndash;25.82\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"50%\"\u003e\n \u003cp\u003eCerivastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"bottom\" width=\"50%\"\u003e\n \u003cp\u003e\u0026ndash;29.28\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"50%\"\u003e\n \u003cp\u003eAtorvastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"bottom\" width=\"50%\"\u003e\n \u003cp\u003e\u0026ndash;24.07\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"50%\"\u003e\n \u003cp\u003eRosuvastatin\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"bottom\" width=\"50%\"\u003e\n \u003cp\u003e\u0026ndash;25.09\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n \u003c/table\u003e\n\u003c/div\u003e\n\u003cp\u003eAs discussed in the geometry section, two important hydrogen bonds and stacking interactions are considered in the ARG590 complex with statins. There is not any stacking interaction for mevastatin and simvastatin in the type I statins for the absence of the 4-fluorophenyl ring. In addition, the results from the binding energy of the second-generation statins are relatively compatible with the geometric parameters of the stacking interaction (Table 2). Thus, atorvastatin with improper geometric parameters has the lowest binding energy among the second generation of statins. Conversely, cerivastatin with proper geometric parameters has the maximum binding energy.\u003c/p\u003e\n\u003cp\u003eCosta \u003cem\u003eet al\u003c/em\u003e. indicated that the ARG590 complexation with statins is the strongest enzyme complexation after the Lysine 635.\u003csup\u003e21\u003c/sup\u003e However, they did not have any analysis on this complexation. They reported the strength of the ARG590 interaction with statins to be rosuvastatin\u003cspan dir=\"RTL\"\u003e\u0026nbsp;˃\u0026nbsp;\u003c/span\u003efluvastatin\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u0026le;\u0026nbsp;\u003c/span\u003esimvastatin\u003cspan dir=\"RTL\"\u003e\u0026nbsp;˃\u0026nbsp;\u003c/span\u003eatorvastatin. They reported that the ARG590 interacts with the type II statins through hydrogen bonding: N\u0026ndash;H of guanidinium group with the fluorine atom of these statins. They also pointed out that the fluorine atom in the type II statins does not remarkably affect the energy of enzyme-statin interaction comparing with the type I statins such as simvastatin, which interact with ARG590 through the butyryl group and an HMGR structure. However, the results of our studies do not confirm these results. The \u0026nbsp;aforementioned trend demonstrates that the interaction energy of ARG590 with all types of II statins (even with atorvastatin) is higher than the interaction energy with simvastatin (Table 3). Moreover, the next part of our studies indicates that there is no interaction between the hydrogens of the guanidinium group and the fluorine atom of statin. Indeed, stacked cation\u0026ndash;\u0026pi; interaction is identified as the main interaction between ARG590 and the type II statins.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eHS and BS analyses\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eHirshfeld/Becke surface analysis as quantitative analysis of molecular surface signifies a unique method to reveal weak interactions between fragments in complex. They are the type of inter-fragment surface, which are defined based on the theory of Hirshfeld\u003csup\u003e69\u003c/sup\u003e and Becke\u003csup\u003e70\u003c/sup\u003e weights. These analyses are useful to reveal the zone where intermolecular interaction is evident.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe 3D HS and BS engendered for the complex of statins with ARG590 residue highlight the red zones which correspond to high electron density region, which is a result of intermolecular interaction (Fig. 7 and Fig. 8).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThere is a red region for all statins arising from\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003ehydrogen bond, between their \u003cem\u003e\u0026beta;\u003c/em\u003e-hydroxyl and the hydrogens of ARG590. For the second type of statins, there is another red region that is ever not seen for first type of statins, owing to 4-fluorophenyl interaction. These analyzes also clarify the orientation difference in the hydrogen bond of simvastatin and atorvastatin, as noted in \u0026ldquo;geometryˮ section. This difference generates another red zone in two statins, which arises from intermolecular interaction of ARG590 with their carboxylic group.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eIn BS analysis, in addition to exposing the intermolecular interactions as\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003ered zones, the surface maxima are marked (the orange points in Fig. 7) and quantitated. The global surface maxima for all statins are related to ARG590 hydrogen bond with their \u003cem\u003e\u0026beta;\u003c/em\u003e-hydroxyl group. As the statin molecule is varied from atorvastatin, simvastatin, cerivastatin, rosuvastatin, mevastatin, to fluvastatin, the electron density value at these maxima decreases from 0.0565, to 0.0559, to 0.0551, to 0.0541, to 0.0489, to 0.0362 au, respectively. It is expected the hydrogen bond strength reduces due to this trend.\u003c/p\u003e\n\u003cp\u003eAlso, in relation to ARG590 interaction with 4-fluorophenyl group in type II statins, the order of electron density values at these maxima are 0.0360, 0.0188, 0.0168, and 0.0111 au for atorvastatin, cerivastatin, rosuvastatin, and fluvastatin, respectively. These results are very dissimilar for ARG590 interaction with the butyryl group in type I statins, since the electron density values for the mevastatin and simvastatin are 0.0013 and 0.0022 au, respectively.\u003c/p\u003e\n\u003cp\u003eAs a result, the qualitative outcomes of HS and BS analyzes generally show that ARG590 interaction with the side section of type II statins is stronger than the type I, but the quantitative trends of BS analysis disagree with the results of prior sections.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp;\u003cstrong\u003eAIM Analysis\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe QTAIM, as a suitable method, could help in the scrutiny of noncovalent interactions. As hydrogen bonds and stacked cation\u0026ndash;\u0026pi; are considered as two main noncovalent interactions, they have been always heeded in molecules, crystals, protein, etc. This theory affectively helps evaluate and quantify these interactions. In this theory, the amounts of \u003cem\u003e\u0026rho;\u003c/em\u003e(r)\u003cem\u003e\u0026nbsp;\u003c/em\u003eand\u0026nbsp;\u0026nabla;\u003csup\u003e2\u003c/sup\u003e\u003cem\u003e\u0026rho;\u003c/em\u003e (r) determine the interaction type. \u0026nbsp;The high amount of (\u0026gt;10\u003csup\u003e\u0026minus;1\u003c/sup\u003e a.u.) \u003cem\u003e\u0026rho;\u003c/em\u003e(r) and the negative amount of\u0026nbsp;\u0026nabla;\u003csup\u003e2\u003c/sup\u003e\u003cem\u003e\u0026rho;\u003c/em\u003e(r) in BCP both characterizes the covalent interaction. In contrast, the small amount of (\u0026le; 10\u003csup\u003e-2\u003c/sup\u003e a.u.) \u003cem\u003e\u0026rho;\u003c/em\u003e(r) and the positive amount of\u0026nbsp;\u0026nabla;\u003csup\u003e2\u003c/sup\u003e\u003cem\u003e\u0026rho;\u003c/em\u003e(r) in BCP both indicate the noncovalent interaction. Since the electron density amount in BCP can be regarded as an excellent criterion to assess the strength of noncovalent interactions, several studies have been done to extract the relationship between electron density and strength of hydrogen bonding and \u003cspan dir=\"RTL\"\u003e\u0026pi;\u003c/span\u003e\u0026ndash;stacking interaction.\u003c/p\u003e\n\u003cp\u003eIf the hydrogen binding system is considered as A\u0026ndash;H\u0026nbsp;B, Robertazzi and Platts\u003csup\u003e71\u003c/sup\u003e indicated that there is a linear relation (r\u003csup\u003e2\u003c/sup\u003e = 0.974) between the energy of this stability interaction (\u003cem\u003eE\u003c/em\u003e\u003csub\u003eHB\u003c/sub\u003e) and the increment of the electron density in H B BCP and the reduction of electron density in A\u0026ndash;H bond (Eq. 2).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u0026nbsp;\u003cem\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;\u003cimg src=\"data:image/png;base64,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\"\u003e\u0026nbsp; \u0026nbsp;\u003c/em\u003e(2)\u003c/p\u003e\n\u003cp\u003eMoreover, this team in another research work\u003csup\u003e72\u003c/sup\u003e for a range of \u0026pi;\u0026ndash;stacked complexes have been able to figure out a linear relationship between the binding energy and \u003cspan dir=\"RTL\"\u003e\u0026sum;\u003c/span\u003e\u003cem\u003e\u0026rho;\u003c/em\u003e\u003csub\u003e\u003cspan dir=\"RTL\"\u003e\u0026pi;\u003c/span\u003e\u0026nbsp;\u003c/sub\u003ewith r\u003csup\u003e2\u003c/sup\u003e=0.950, and the standard deviation of 2.0 kJ/mol (Eq. 3).\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u003cimg src=\"data:image/png;base64,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\"\u003e\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;(3)\u003c/p\u003e\n\u003cp\u003eIn the previous sections, it was pointed out that the hydrogens of guanidinium group in ARG590 made the hydrogen bonds to \u003cem\u003e\u003cspan dir=\"RTL\"\u003e\u0026beta;\u003c/span\u003e\u003c/em\u003e-hydroxyl group of heptanoic acid in statins and (Fig. 4).\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003eIn AIM analysis, the presence of two BCP among the hydrogens of guanidinium group and the oxygen at \u003cem\u003e\u0026beta;\u003c/em\u003e-hydroxyl proves the formation of hydrogen bonds in all statins except simvastatin and atorvastatin (Fig. 9).\u003c/p\u003e\n\u003cp\u003eThe direction of these two molecules in complex with guanidinium is set in a way that only one hydrogen gets close to the oxygen at \u003cem\u003e\u0026beta;\u003c/em\u003e substitution; therefore, only one BCP is observed at which the \u003cem\u003e\u0026rho;\u003c/em\u003e(r) is maxima for these two statins compared with other statins. For other statins, it is also noted that the strength of the two hydrogen bonds is not identical (Table 4).\u003c/p\u003e\n\u003cp\u003eThere is a BCP between the hydrogen of guanidinium group and the oxygen of the carboxylic acid of statins. It is inferred that there is another hydrogen bond in the statins complex with ARG590. Here is again an exception in simvastatin and atorvastatin. There is a BCP between oxygen and nitrogen, instead of hydrogen, which is not the hydrogen bond, it can be a salt-bridge interaction. \u0026nbsp;\u003c/p\u003e\n\u003cp\u003eBased on the \u003cem\u003e\u0026rho;\u003c/em\u003e(r)\u003cem\u003e\u0026nbsp;\u003c/em\u003edata taken from H B BCP and A\u0026ndash;H bond and their arrangement in equation 2 for figuring out the \u003cem\u003eE\u003c/em\u003e\u003csub\u003eHB\u003c/sub\u003e, the hydrogen bond of statins is increased as fluvastatin \u0026lt; mevastatin \u0026lt; simvastatin \u0026lt; atorvastatin \u0026lt; rosuvastatin \u0026lt; cerivastatin (Table 4).\u003c/p\u003e\n\u003cp\u003e\u003cimg 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\"\u003e\u003c/p\u003e\n\u003cp\u003e\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003eBefore Robertazzi and Platts, Espinosa \u003cem\u003eet al\u003c/em\u003e.\u003csup\u003e73\u003c/sup\u003e tried to estimate the strength of hydrogen bonding. Thus, they indicated that the stability energy (\u003cem\u003eE\u003c/em\u003e\u003csup\u003e\u0026apos;\u003c/sup\u003e\u003csub\u003eHB\u003c/sub\u003e) of this interaction has a direct relationship with the amount of the local electronic potential energy density (V(r)) in H B BCP (Eq. 4).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cimg src=\"data:image/png;base64,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\"\u003e\u003c/p\u003e\n\u003cp\u003eDue to the \u003cem\u003eE\u003c/em\u003e\u003csup\u003e\u0026apos;\u003c/sup\u003e\u003csub\u003eHB\u003c/sub\u003e amounts taken from Eq. 4, the strength of hydrogen bond of statins with ARG590 is exceeded as fluvastatin \u0026lt; simvastatin \u0026lt; mevastatin \u0026lt; atorvastatin \u0026lt; rosuvastatin \u0026lt; cerivastatin\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003e(Table 4).\u003c/p\u003e\n\u003cp\u003eEquations (2) and (4) put mevastatin and simvastatin back and forth and also almost reflect a relatively similar trend to estimate the energy of hydrogen bonding of statins with ARG590. However, it is noteworthy that neither of these trends are compatible with the binding energy trend of the statins complex with ARG590 (the energy section).\u003c/p\u003e\n\u003cp\u003eAlso, in simvastatin complex, there are two BCPs between the hydrogens of butyryl group and the nitrogen atoms of guanidinium where two weak hydrogen bonds are figured out. However, there is only one BCP for mevastatin, other type I statin (Table 5). Including these weak hydrogen bonds and even the salt-bridge interaction associated with simvastatin and atorvastatin reveal that these trends are not close to the binding energy trend.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp;\u003cimg 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\"\u003e\u003c/p\u003e\n\u003cp\u003eSuch incompatibility reveals that there must be another important noncovalent\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003einteraction in the complex between statins and ARG590 rather than hydrogen bonding. As aforementioned, this interaction is stacked cation\u0026ndash;\u0026pi; in which the planar side of guanidinium is actually interacted with the 4-fluorophenyl ring in the type II statins. In mevastatin and simvastatin as the type I statins, the results of AIM analysis present that there is no other BCP between these drugs and ARG590 except the aforementioned hydrogen bonding. The condition is different for the type II statins because there are two BCPs between ARG590 and 4-fluorophenyl ring of statin molecules, which denote the stacked cation\u0026ndash;\u0026pi; interaction. There is a BCP between nitrogen of ARG590 and carbon of the ring and a BCP between nitrogen of ARG590 and fluorine of the ring (Fig. 9). In atorvastatin, exceptionally here a BCP exists between hydrogen of \u0026ndash;CH\u003csub\u003e2\u003c/sub\u003e group of ARG590 and fluorine instead of former BCP, which signifies a new hydrogen bonding.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eHowever, equation 3 is extracted for \u0026pi;\u0026ndash;\u0026pi; stacking interactions, but it is certainly possible to examine cation\u0026ndash;\u0026pi; interaction strength by comparing \u003cspan dir=\"RTL\"\u003e\u0026sum;\u003c/span\u003e\u003cem\u003e\u0026rho;\u003c/em\u003e\u003csub\u003e\u003cspan dir=\"RTL\"\u003e\u0026pi;\u003c/span\u003e\u003c/sub\u003e.\u003c/p\u003e\n\u003cp\u003eDue to the \u003cem\u003e\u0026rho;\u003c/em\u003e(r) data taken from these two BCPs (\u003cspan dir=\"RTL\"\u003e\u0026sum;\u003c/span\u003e\u003cem\u003e\u0026rho;\u003c/em\u003e\u003csub\u003e\u003cspan dir=\"RTL\"\u003e\u0026pi;\u003c/span\u003e\u003c/sub\u003e), the strength of cation\u0026ndash;\u0026pi; interaction with ARG590 increases as atorvastatin \u0026lt; fluvastatin \u0026lt; rosuvastatin \u0026lt; cerivastatin (Table 5). These results are fully consistent with the results of the previous sections including ESP maps, LOLIPOP Indication, and geometry. Also, these results and the results of the hydrogen bond will justify the binding energy trend in the \u0026ldquo;energyˮ section.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eNCI and IGM analyses\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003e\u0026nbsp; \u0026nbsp;Noncovalent interaction (NCI)\u003csup\u003e74\u003c/sup\u003e and independent gradient model (IGM)\u003csup\u003e75,76\u003c/sup\u003e analyses as complements to the Bader\u0026rsquo;s theory (QTAIM) and visual methods can help to characterize weak interactions. They play a vital role in the biological molecular recognition of ligand\u0026ndash;protein in the field of drug-design.\u003csup\u003e75\u003c/sup\u003e\u003c/p\u003e\n\u003cp\u003eThe NCI method enables the identification and visualization of regions of weak interactions in the 3D real space based on analysis of the electron densities, \u003cem\u003e\u0026rho;\u003c/em\u003e(r), and providing isosurfaces of their reduced gradients, \u003cem\u003es\u003c/em\u003e(\u003cem\u003e\u0026rho;\u003c/em\u003e).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe noncovalent interactions will be predicted in regions where the \u003cem\u003e\u0026rho;\u003c/em\u003e(r) and \u003cem\u003es\u003c/em\u003e(\u003cem\u003e\u0026rho;\u003c/em\u003e) are low and their strength is correlated to the value of \u003cem\u003e\u0026rho;\u003c/em\u003e(r) in the corresponding regions. Van der Waals interaction regions have very small \u003cem\u003e\u0026rho;\u003c/em\u003e(r), while the regions corresponding to attractive and repulsive interactions have relatively large \u003cem\u003e\u0026rho;\u003c/em\u003e(r).\u003c/p\u003e\n\u003cp\u003eBesides, the (3, \u0026ndash;1) type of critical point designates attractive interaction; while (3, +1) type critical point designates repulsive interaction in Bader\u0026rsquo;s AIM theory. Thus, the sign of the second eigenvalue of the electron density\u0026apos;s Hessian matrix (l\u003csub\u003e2\u003c/sub\u003e) discerns attractive from repulsive interactions. \u0026nbsp;\u003c/p\u003e\n\u003cp\u003eHowever, the attractive interactions such as Hydrogen bond with \u003cem\u003e\u0026rho;\u003c/em\u003e(r) \u0026gt; 0 and\u0026nbsp;l\u003csub\u003e2\u003c/sub\u003e \u0026lt; 0 (blue), Van der Waals contact with \u003cem\u003e\u0026rho;\u003c/em\u003e(r) \u0026asymp; 0 and\u0026nbsp;l\u003csub\u003e2\u003c/sub\u003e \u0026asymp; 0 (green), and repulsive interactions such as strong steric effect with \u003cem\u003e\u0026rho;\u003c/em\u003e(r) \u0026gt; 0 and\u0026nbsp;l\u003csub\u003e2\u003c/sub\u003e \u0026gt; 0 (red) can be visualized on isosurfaces of \u003cem\u003es\u003c/em\u003e(\u003cem\u003e\u0026rho;\u003c/em\u003e), as shown for the complex of statins with ARG590 (Fig. 10).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThe NCI isosurfaces not only determine where weak interaction occurs, but also easily capture the interaction type by colors. Through these isosurfaces, the important following results are inferred: (1) There are significant differences between the strength of the two hydrogen bonds and the left one is stronger; (2) The interaction of the guanidinium group with the butyryl group in type I statins is less than that with 4-fluorophenyl group in type II statins; (3) the significant green isosurface between guanidinium group and 4-fluorophenyl group in type II statins is a good evidence to the existence of the cation\u0026ndash;\u0026pi; interaction; (4) The blue isosurface is visible between hydrogen of \u0026ndash;CH\u003csub\u003e2\u003c/sub\u003e group of ARG590 and fluorine of atorvastatin, which exposes a hydrogen bond. \u0026nbsp;Nevertheless, there is no such interaction for any of the second type statins. All of these results are consistent with the results from AIM analysis.\u003c/p\u003e\n\u003cp\u003eIGM method as a very useful way of visually studying interfragment- intrafragment interaction has been proposed recently. It only determines where weak interaction occurs and its strength. So IGM isosurfaces do not provide information about the type of interaction. The IGM method shows the intrafragment interactions in the statins complex with ARG590, inclusive hydrogen bonds, salt-bridge interaction, and cation\u0026ndash;\u0026pi; interaction by green isosurfaces in different dimensions, which denote their strength (Fig. 11). \u0026nbsp; \u0026nbsp;\u0026nbsp;\u003c/p\u003e"},{"header":"Conclusion","content":"\u003cp\u003eThe HMG structure exists as the principal fragment in the structure of all statins because it can harness the catalytic role of HMG-CoA reductase. Their lateral and hydrophobic fragment distinguishes the structure of statins. The chiral decalin rings are remarkably identified as a lateral and hydrophobic part in the type I statins; however, the non-chiral pyrrole and pyrimidine are recognized in the type II statins. Moreover, the 4-fluorophenyl group exists as a constant substitution in pyrrole and pyrimidine rings in second generation statins.\u003c/p\u003e\n\u003cp\u003eAny accurate and proper studies haves not been reported yet on the role of effective substitution and the interaction of this substitution with enzyme. The present research studied the interaction of this substitution with HMG-CoA reductase enzyme for the first time. It was demonstrated that the 4-fluorophenyl group with ARG590 residue can have stacked cation\u0026ndash;\u0026pi; interaction. This study also revealed a new interaction between the type II statins with ARG590 residue of enzyme. The hydrogens of the statins complex with ARG590 optimized based on the existing crystallographic structures using the M06/6-311++G** method. Also, the energy of the optimized structures was calculated using MP2/6-31G (0.25)* method.\u003c/p\u003e\n\u003cp\u003eThe complex structures of statins with ARG590 indicate that the hydrogens of guanidinium have targeted \u0026beta;-hydroxyl group of heptanoic acid in statins and they make two hydrogen bonds. In fact, three sp\u003csup\u003e2\u003c/sup\u003e nitrogen atoms will be prepared to make stacked interaction with aromatic rings by targeting and involving the N-H hydrogens. This stacked interaction has been provided by the substitution of 4-fluorophenyl in the type II statins. The binding energy of ARG590 with statins increases from 23 to 30 kcal/mol based on the binding strength for\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003ecerivastatin, fluvastatin, rosuvastatin, atorvastatin, simvastatin, and mevastatin\u003cspan dir=\"RTL\"\u003e,\u003c/span\u003e respectively. These results indicate that, in comparison with the type I statins (mevastatin and simvastatin), ARG590 makes a stronger complex with the type II statins (fluvastatin, cerivastatin,\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003eatorvastatin,\u003cspan dir=\"RTL\"\u003e\u0026nbsp;\u003c/span\u003erosuvastatin). Additionally, the AIM calculations indicated the cation\u0026ndash;\u0026pi; and hydrogen bond interactions between ARG590 and statins.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eEventually, the statins could provide superior planar cation\u0026ndash;\u0026pi; interaction. They have a stronger complex with ARG590 residue. This means that the type II statins have a stronger interaction with enzyme because of its stacked orientation with ARG590.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003e\u003cstrong\u003eCompeting Interests\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThere is no conflict of interest to declare.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp;\u003cstrong\u003eFunding\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThis research was funded by Tarbiat Modares University.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u0026nbsp;\u003cstrong\u003eAcknowledgments\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eSupport from Tarbiat Modares University is gratefully acknowledged. The authors wish to thank Dr. Zahra A. Tehrani for many helpful discussions.\u003c/p\u003e\n\u003cp\u003e\u0026nbsp;\u003cstrong\u003eAuthors\u0026apos; contributions\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eAliakbar Ahmadi: conceptualization, data curation, methodology, and original draft.\u003c/p\u003e\n\u003cp\u003eMojgan Ayoubi-Chianeh: conceptualization, data analysis, writing, review, and editing.\u003c/p\u003e\n\u003cp\u003eMohamad Z. Kassaee: conceptualization, review, and editing.\u003c/p\u003e\n\u003cp\u003eAlireza Fattahi: conceptualization, and data curation.\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\n\u003cli\u003eRoth, G. A.; Johnson, C.; Abajobir, A.; Abd-Allah, F.; Abera, S. F.; Abyu, G.; Ahmed, M.; Aksut, B.; Alam, T.; Alam, K.; Alla, F.; Alvis-Guzman, N.; Amrock, S.; Ansari, H.; \u0026Auml;rnl\u0026ouml;v, J.; Asayesh, H.; Atey, T. 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P.; H\u0026eacute;non, E. \u003cem\u003eChemPhysChem\u003c/em\u003e \u003cstrong\u003e2018\u003c/strong\u003e, \u003cem\u003e19\u003c/em\u003e (6), 724\u0026ndash;735.\u003cspan dir=\"RTL\"\u003e\u003c/span\u003e\u003c/li\u003e\n\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"statin, M06, MP2, QTAIM analysis, Hirshfeld and Becke surface analysis, noncovalent interaction (NCI) analysis, independent gradient model (IGM) analysis, stacked cation–π interaction, amino aromatic interaction, guanidinium group, LOLIPOP","lastPublishedDoi":"10.21203/rs.3.rs-2528724/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-2528724/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eStatins are the well-known therapy for lowering LDL cholesterol. They inhibit 3-hydroxy-3-methylglutaryl coenzyme A (HMG-CoA) reductase by holding an HMG-like moiety (mevalonate structure) as their core structure. Statins can be divided into two classes based on their hydrophobic side structure. Type I statins (viz. mevastatin, simvastatin) encompass a chiral decalin ring, while type II statins (viz. fluvastatin cerivastatin, atorvastatin, rosuvastatin) encompass an achiral pyrrole or pyrimidine ring with 4-fluorophenyl group. Statins primarily use dipole/dipole and hydrogen bonds to bind to the active site of the reductase, focusing on the portion of the active site dominated by lysine 735, arginine 590, aspartic acid 690, serine 684, lysine 691, asparagine 755, lysine 692 and glutamine 559 with minimal explicit incorporation of hydrophobic side structure interactions.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eThis study has centered on potentially important enzyme-ligand interaction currently not incorporated: stacked cation–π interaction between the guanidinium group of arginine 590 residues in the HMG-CoA reductase active site and 4-fluorophenyl group of the type II statins. The geometry of interaction between these planar groups has been considered based on the X-ray crystallographic structures already available in the protein data bank (PDB) archive. Electronic interaction energies between this residue and statins have been acquired by M06 and MP2 methods. In addition, stacking interaction and hydrogen bonding as two important investigated interactions are verified through prominent analyses: (1) quantum theory of atoms in molecules (QTAIM) analysis; (2) plotting and quantitative molecular surface analyses such as electrostatic potential (ESP) analysis, Hirshfeld surface (HS) and Becke surface (BS) analyses; (3) visual study methods such as noncovalent interaction (NCI), independent gradient model (IGM) analyses; and (4) localized orbital locator integrated pi over plane (LOLIPOP) index. The results indicate the absolute binding energy for type II statins is overall more than for type I statins.\u003c/p\u003e","manuscriptTitle":"Revealing a novel and notable interaction in the binding of type II statins to HMG-CoA reductase: Stacked cation–π interaction","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2023-02-01 16:41:36","doi":"10.21203/rs.3.rs-2528724/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"17f234a4-0fbe-43d4-8c9e-371e9a337b99","owner":[],"postedDate":"February 1st, 2023","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2023-02-23T00:29:18+00:00","versionOfRecord":[],"versionCreatedAt":"2023-02-01 16:41:36","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-2528724","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-2528724","identity":"rs-2528724","version":["v1"]},"buildId":"cBFmMYwuxLRRLfASyISRj","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}