Abstract
40
Ligand optimization is central to drug discovery as hundreds of analogs might be 41
designed and synthesized between an initial hit and a therapeutic candidate. The efficiency of 42
this process is unclear, at least partly because there is no random background for optimization 43
against which to compare. Such a random bac kground might emerge from synthetically 44
accessible but otherwise systematic random small substitutions across starting ligands, 45
measuring likelihood of achieving a substantial improvement in affinity/potency or other property 46
by any single perturbation. Recent literature and ligand-affinity/potency databases suggest that 47
perhaps 10% of analogs with minor modifications improve upon a parent’s potency substantially 48
(by >10-fold), but this number is clouded by reporting bias, intentional improvement, and inter-49
group reproducibility. To begin to establish a background expectation for ligand optimization, 50
we comprehensively and systematically modified 18 lead molecules across six targets with 51
single atom changes; 257 compounds were synthesized . Unexpectedly, 1 1.2% of these 52
random small perturbation analogs improved potency by >10-fold over their parents. 53
Conversely, these more potent analogs typically had worse in vitro pharmacokinetics (e.g. 54
reduced metabolic stability, lower plasma free fraction). While it was possible to find analogs 55
where the potency increase compensated for inferior exposure and half -life, resulting in more 56
potent compounds in vivo, overall a frustrated landscape for ligand optimization is revealed. 57
This study begins to establi sh a background expectation for ligand potency optimization and 58
offers a simple strategy to do so. It also begins to quantify the challenges confronting the field 59
in moving beyond in vitro potency. 60
61
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Introduction
62
Ligand optimization is central to chemical probe and drug discovery, as initial active 63
molecules rarely have the potency or pharmacokinetic properties to be viable in vivo 1,2. 64
Accordingly, between the discovery of an initial hit and a clinical candidate many hundreds, 65
occasionally thousands of optimized analogs might be synthesized1,3. Several strategies4-6 7,8 66
have been developed to improve this process , ranging from early empirical approaches such 67
as Topliss Trees9 and Hansch QSAR10 to contemporary AI-guided ADMET11 prediction and free 68
energy calculations 12,13. How efficient these strategies are remains uncertain, as there is no 69
random background against which to compare them. If we use a ten-fold improvement between 70
analog and parent as a benchmark for substantial impact, then only about 10% of analogs meet 71
this standard in the ChEMBL ligand -protein activity database (Extended Data Figure 1 a)14. 72
Since these ChEMBL results suffer from success bias, sample multiple types of perturbation, 73
and struggle with inter -group irreproducibility15, the public domain offers no sure guidance on 74
what level of improvement one might expect in ligand optimization if one were making random 75
conservative changes. 76
Random backgrounds have long been used in biology to help quantify significance. In 77
genomics, they help to distinguish between artificial and natural selection 16. In epidemiology, 78
random incidence rates help distinguish genetic diseases fr om those driven by environmental 79
factors17,18. In protein engineering, random backgrounds are used to evaluate improvements in 80
enzyme function 19, and alanine scanning has been used to introduce a minimally -biased 81
perturbation to find hot spots for ligand binding and protein func tion20. A random background 82
for ligand optimization, conceivably, could quantify progress across chemotypes and targets 83
and compare different optimization strategies. 84
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4
Akin to alanine scanning, an unbiased background for ligand optimization might involve 85
conservative perturbations, systematica lly and comprehensively applied across multiple 86
unrelated parents across several different targets. Muegge and colleagues have described a 87
“positional analog scanning” approach, which substitutes ligand non-polar hydrogens (C—Hs) 88
with groups like CH ₃, OH, Cl, F, and Br, and aromatic carbon atoms with nitrogen 21. In 89
retrospective analyses of the ChEMBL24 database22,23, effects on affinity, functional activity, 90
solubility, clearance, and permeability were studied. Among over 110,000 matched molecular 91
pairs (MMPs), about 30% of the time of one analog improved over 3-fold in affinity /potency 92
versus the other. Our understanding of this observation is tempered by design and reporting 93
biases toward compound improvement , by the variability in experimental conditions across 94
datasets that can reduce reproducibility15, and by the few parent compounds that had multiple 95
conservative changes. Thus, it seemed interesting to create a set of parent ligands that were 96
systematically and comprehensively modified by small perturbations, without design and 97
without a bias toward improvement, using the positional analog scanning approach 21,24 where 98
the differences between parent and the suite of analogs were quantified by a single lab. 99
100
To create what we will refer to as a random background set for ligand optimization, we 101
chose 18 parent ligan ds spanning six targets, including three GPCRs (alpha2A adrenergic 102
receptor (2a), μ-opioid receptor (MOR) and cannabinoid receptor type 2 (CB2)), one 103
transporter (the serotonin transporter, SERT) and two soluble enzymes (AmpC β-lactamase 104
(AmpC), and Macrodomain 1 of SARS-CoV-2 (Mac1)). This set was chosen for targets that we 105
had under experimental control and is admittedly far from comprehensive: we explore only class 106
A GPCRs, no ion channels nor kinases are represented, only one transporter, and only two of 107
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almost innumerable soluble enzymes. The 18 parent compounds were chosen for similar 108
pragmatic reasons—they were molecules to which we had ready access. Still, these proteins 109
provide a range of target classes, while the 18 parents cover a wide range of physico-chemical 110
properties (Extended Data Table 2) and values, ranging from 1 nM to 43 µM (Table 1), and 111
most were topologically unrelated . For each of the 18 parents we systematically explored all 112
analogs accessible by a single atom modification where such modifications were synthetically 113
feasible—typically costing no more than $400 to acquire—and where they did not modify the 114
net charge of the parent at physiological pH. The single atom modifications involved 115
substituting carbon hydrogens with one of methyl 25, hydroxyl 26, chloro 27, fluoro 28, or rarely 116
bromo, or substituting aromatic carbon atoms with nitrogen s (Figure 1). These changes are 117
not comprehensive, but they do represent changes preferred by medicinal chemists while 118
avoiding those that would introduce oxidation liabilities (e.g., adding a thiol or aromatic sulfur) 119
or changes of valence (e.g., nitrogen to oxygen or sulfur) ; moreover, they were made without 120
design and as systematically as pragmatism would allow. 121
122
These substitutions were systema tically and comprehensively applied without design, 123
ensuring an approach unbiased by anything other than synthetic accessibility and price (which 124
we admit are meaningful constraints, as we make clear below) . Overall, 257 single-atom 125
analogs were synthesize d and tested for changes in activity on the target, allowing us to 126
measure how often we might expect affinity/potency to improve >10-fold by minimal 127
perturbation. This begins to provide a background expectation for how often a designed analog 128
might meaningfully improve affinity/potency. As we will show, these undesigned changes had 129
an unexpectedly high success rate, suggesting also a systematic strategy for optimization, even 130
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though that was not our primary goal. Since affinity/potency maturation is only one criterion for 131
advancing from hit to candidate, w e also measured in vitro pharmacokinetic properties for the 132
analogs, including permeability, metabolic stability, plasma protein binding, and three other 133
terms, versus the parent compounds. These pharmacokinetic studies explore what are perhaps 134
inevitable trade-offs between pharmacokinetics and target affinity/potency in ligand optimization. 135
136
Fig.1: Experiment and Analysis Workflow for One Heavy Atom Analogs. a, Parent ligands from 137
six drug targets (the aminergic GPCR Alpha2a-AR, the lipid GPCR CB2R, the peptide GPCR µOR, the 138
serotonin SLC transporter SERT, and the soluble enzymes AmpC and Mac1) were modified by one-at-139
a-time, one atom substitutions: HCH3, HCl, HOH, HF, and ring CN. These modifications 140
were made systematically and comprehensively; only compounds that were too expensive to 141
synthesize, or that changed the charge state of the parent were left out. The analogs were tested for 142
changes in affinity/potency, solubility, plasma protein binding, plasma stability, hepatic microsomal 143
stability, permeability, and hERG inhibition, versus their parent ligands. 144
145
146
Results
147
We began with 18 parent ligands, most of which are unrelated to one another (ECFP4 148
Tanimoto coefficients, Tcs, <0.35), with affinities ranging from 1 nM to 43 µM and molecular 149
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weights (MW) ranging from 200 to 400 amu (Extended Data Figure 2). Each of the 18 parents 150
was modified, one atom at a time, with five types of single atom substitutions (Figure 1a, central 151
panel), subject only to the expense and charge modification constraints (above). About 7% of 152
the possible molecules met these criteria and of those ~80% were successfully synthesized, 153
resulting in 257 analogs. In the analyses that follow, we pool all 257 analogs for analysis, which 154
reduces the noise from a single scaffold or single target and improves statistical power 155
(Supplementary Figure 1). 156
157
These 257 analogs were tested for activity changes (Kd, IC50, or EC50) versus the parent 158
ligands across the six targets. For the μ-opioid receptor, EC50 values were determined in cAMP 159
Glo-sensor assays. 2A and CB2 ligands were assessed by cAMP assays and by radioligand 160
competition binding with 3H-rauwolscine or [³H]CP-55940, respectively . Serotonin transporter 161
interactions were analyzed using [3H]-citalopram binding assays. AmpC β -lactamase (AmpC) 162
inhibition was measured enzymatically while that of Mac1 was measured by ligand 163
displacement. For every parent, and for most receptors overall, we only report changes for one 164
type of activity, i.e., if a parent K i is reported than only K i values are reported for its analogs, 165
and if a parent is an agonist, only EC 50s are reported for its analogs. Each functional or 166
inhibition assay is done in reference to a literature positive control molecule ( Supplementary 167
Figure 2). Representative concentration–response curves and the corresponding Z values for 168
each assay are prov ided in (Supplementary Figure 3). Especially for agonists, the effect of 169
receptor expression is controlled for (Supplementary Figure 4, 5). Because changes in 170
agonist efficacy can sometimes affect interpretation of EC 50, we inspect efficacy values to 171
ensure that they are similar between parent and analog; full concentration-response curves and 172
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analyses are shown for every parent-analog pair, allowing for direct inspection of these results. 173
174
Overall, 23% of the analogs affected activity by 10-fold (Extended Data Figure 1 b). Intriguingly, of the 257 analogs tested, 29, or 177
11.3%, improved activity by >10-fold rounding to the nearest integer (Table 1). We note that 4 178
of these 29 had fold -changes of between 9.7 and 9.9 to 1 decimal place; we consider these 179
effectively 10 -fold improvements and used the same convention in analyzing the public 180
ChEMBL data (see Table 1 and Supplementary Table S1 for details) . Such >10-fold 181
improvement analogs were found for five of the six targets, and for 10 the 18 parents (Table 1). 182
The effects and chemical identities of all analogs relative to their parents are listed in 183
Supplementary Table 1. 184
185
Table 1. Analogs from all parents improving affinity/potency by >3x or >10x 186
Protein Assay
readout
Parent Ligand Parent
Affinity/potency
Total
Analogs
Analogs with ≥3X
Affinity/potency
improvement
Analogs with ≥10X
Affinity/potency
improvement
MOR EC50 Z4407498716 9.2 nM 16 2 2
alpha2 EC50 Z2750653629 1.4 nM 31 7 4a
alpha2 Ki Z3034773248 22.1 µM 18 3 1
alpha2 EC50 Z4376630014 8.3 nM 10 2 0
alpha2 Ki Z8727395870 13 µM 18 1 0
AmpC Ki Z2610488449 24.2 µM 10 2 0
cb2 Ki Z52076138 2.3 µM 7 7 6b
cb2 Ki Z6969215903 0.4 µM 6 0 0
cb2 EC50 Z8184698918 0.1 µM 20 2 2
Mac1 IC50 Z5398393122 2.2 µM 5 0 0
Mac1 IC50 Z1039063794 0.7 µM 12 0 0
Mac1 IC50 Z7534253453 8.9 µM 22 8 2
SERT Ki Z2009978218 1.1 µM 14 4 0
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SERT Ki Z2573292480 0.08 µM 11 1 0
SERT Ki Z2573292509 0.2 µM 9 2 1
SERT Ki Z6971277399 13.4 µM 15 10 4
SERT Ki Z8727393896 42.7 µM 14 8 3c
SERT Ki Z8731642686 1.8 µM 19 10 4
Total All Parents 257 69 29
*Fold-changes are displayed as nearest -integer values; exact (unrounded) fold -changes are provided in 187
Supplementary Table S1. Using exact fold -changes, 62 analogs improve ≥3-fold and 25 improve ≥10-188
fold. a. One of these had a fold change of 9.7. b. Two of these had fold-changes of 9.7 and 9.8. c. One 189
of these had a fold-change of 9.9, see Supplementary Table S1. 190
191
We were interested in which perturbations had the biggest effects, how the rates of 192
affinity/potency improvements compared to the literature, with its admitted biases, and if 193
physical properties of the parent compounds or of the binding sites correlated with greater 194
likelihoods of affinity/potency improvements. Among the analogs, methyl substitutions were the 195
most likely to improve activity >10-fold, with chlorine substitutions the second most likely; for >3-196
fold improvements, of which there were 69 among the 257 analogs, both chlorine and methyl 197
substitutions were the most common (Figure 2a ). Given the similar size and similar 198
hydrophobicity of methyls and chlorines, their similar effects may be rationalized. Conversely, 199
fluorine substitutions, which are often used to increas e metabolic stability, yielded no >10-fold 200
and few >3-fold improvements in activity. Aromatic carbon to nitrogen substitutions also rarely 201
improved affinity/potency, though as we will see they often had the most favorable impacts on 202
pharmacokinetic properties. 203
204
Because increases in hydrophobicity will increase affinity/potency simply by disfavoring 205
the unbound state, and have physical property liabilities, it is us eful to consider the improved 206
affinity/potency of the analogs in light of ligand efficiency (LE) and liphophilic efficiency (LiPe) , 207
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which control for these effects . If affinity/potency improvements were largely driven by 208
hydrophobicity we would expect to see both terms deteriorate for the analogs. Instead, for 209
analogs that improved >10-fold both ligand efficiency and lipophilic efficiency much improved. 210
For instance, an analog with an added methyl, chloro or other atom that improved in binding or 211
in EC50 by even 3-fold enjoyed a ligand efficiency of 0.65 kcal/atom for the added atom, well 212
above the 0.3 kcal/atom that is thought to be useful for drug optimization 29,30. Meanwhile, 213
analogs that improved activity >10-fold had ligand efficiency of 1.4 for a single added atom (Ext 214
Data Figure 4 ), close to the efficiency limit 31 (several even exceeded single atom ligand 215
efficiencies of 2.0). Similarly, every analog that improved activity by >10-fold also improved 216
lipophilic efficiency (Ext. Data Figure 4). More broadly, while there was little correlation 217
between clopgP and pKi or logEC50 over the the 257 analogs (Ext Data Figure 4b), there 218
was a strong linear correlation between both ligand efficiency and activity change and between 219
lipophilic ligand efficiency and activity change —in both cases, substantially improved activity 220
was accompanied by improved ligand and lipophilic efficiency. For analogs with much improved 221
activity—especially those improved by >10 -fold but also for those improved by >3 -fold—the 222
improvements cannot be simply laid at the door of increased hydrophobicity. 223
224
We investigated whether there were correlations between likelihood of potency 225
improvement and ligand and binding site properties. One might expect that certain ligands or 226
sites might better lend themselves to affinity/potency improvement, which would affect the 227
domain of applicability of this study . For instance, weaker ligands might be easier to optimize, 228
or smaller binding sites might be better suited to big affinity/potency jumps. We calculated if 229
the parent molecular weight, binding site volume, the ligandability of the binding sites 230
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(calculated using Dscore 32), or the affinity/potency of the starting parent compound was 231
correlated with the likelihood of finding analogs with substantial affinity/potency improvement. 232
Using the fraction of analogs achieving ≥10 -fold improvement as the outcome, none of these 233
properties showed a statistically meaningful correlation (Figure 2b ). If one considers the 234
magnitude of the affinity/potency change overall, and not just whether it improved >10-fold, 235
correlations did emerge, with weaker vs stronger parents more likely to support improved affinity 236
(R = −0.34, p = 3.3×10 −7) and with larger bi nding sites also tending to do so (R = 0.23, p = 237
4.3×10−4) (parent size and site ligandability continued to show no association with affinity 238
improvement). While these trends were echoed among matched pairs in ChEMBL (Extended 239
Data Figure 1), the correlations overall were weak (even an R of -0.34 explains only 10% of 240
set variance), and as activity changes drop below a 3-fold effect our confidence in the 241
experimental values begins to drop. Taken together, these results suggest that : (1) as a 242
strategy, systematic small perturbations can be unexpectedly successful at improving ligand 243
affinity/potency21,24, perhaps even compared to modern design -heavy approaches33; (2) this 244
effect is common across diverse parents and binding sites, (3) finds echo in the literature, and 245
(4) random expectations for substantial affinity/potency improvement may be as high as 11% 246
(95% CI 7.5%-15.2%). 247
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248
Fig.2 Property correlations of affinity/potency improvement and comparison with literature 249
values. a. The fraction of compounds improving by >3- or >10-fold in activity by type of single 250
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modification (CH₃, F, Cl, Br, N, OH). b. Correlation heatmap between physicochemical properties of 251
binding pockets and parent compounds with log₁₀ of affinity/potency fold-change. c. The fraction of 252
single atom modifications (CH ₃, F, Cl, N, OH) that improve a ctivity, comparing the experimental 253
observations in this study with results from the ChEMBL database. Shaded regions indicate 95% 254
confidence intervals, estimated from 10,000 iterations of bootstrap resampling . The ChEMBL ligands 255
are a composite of 54,021 parents and 79,984 small change analogs; for only 4.7% of these were there 256
more than three analogs per parent. 257
258
To investigate the structural bases for the affinity/potency changes, we determined the 259
structure of the parent inhibitors in complex with Mac1 and six analogs from the '3122, 12 260
analogs from the '3453 series, and four analogs from the ‘3794 series. These structures were 261
determined to between 0.97 and 1.02 Å resolution (Supplementary Table 2 ), supporting 262
atomic resolution analysis. The analogs with structures determined represented all six types of 263
single-atom modifications in this study; 15 of them differed in affinity/potency from their parents 264
by >3x, two by over 10-fold, and among themselves by up to 680-fold. 265
266
For some parents, analogs superposed well facilitating analysis of the effects. This was 267
often true for the Mac1 ‘3453 (IC50 8.9 µM) inhibitor series, for instance (Figure 3a). Displayed 268
at the ortho-position of the phenyl ring the chloro of ‘0676 (IC50 21 µM) projects into solvent and 269
loses activity versus the parent ( Figure 3b). Moving this chloro to the meta -position ('1304), 270
where it packs with Phe132, Ile131, and Gly48 , improves inhibition 11 -fold (p-value <0.01) to 271
1.9 µM (Figure 3c). Moving this substitution one atom further over, to the para-position, had 272
little effect ('6343, IC50 2.1 µM) though a methyl at the same position ('9870, IC50 7.6 µM) loses 273
4-fold affinity (p-value <0.01), presumably reflecting its poorer packing versus the chloro analog. 274
275
If many of the effects of the small perturbation analogs could be explained post hoc from 276
their structures, however, fewer were easily anticipated. Even the apparent simplicity of the 277
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‘3453 series is belied by structural accommodations in the enzyme site. For instance, the para-278
chloro of the 2µM ‘6343 would have clashed with the enzyme without Phe132 and Ile131 279
rotating away. In doing so, Phe132 adopts a partially eclipsed conformation. Presumably the 280
resulting strain is overcome by the improved packing of the buried para-chloro, but the outcome 281
of this balance of terms seems difficult to intuit (encouragingly, free energy calculations did 282
correctly predict that the para -and meta-chloro ‘6343 and ‘1304, respectively, would improve 283
affinity while the ortho -chloro ‘0676 would lose it, though the agreement was more qualitative 284
than quantitative; see below). Conversely, the methyl analog (‘9249 , 53 µM) of '0676 (IC50 22 285
µM) is buried from solvent, not exposed, and might be expected to be more potent than its 286
chloro cousin, but instead it loses another 2.5-fold in Ki (p-value <0.01; here, the opposite effect 287
was anticipated by the free energy calculation, below). Meanwhile, in the complex between 288
‘4905 and the 2a adrenergic receptor, an added methyl group fit s into a pre -existing sub-289
pocket and qualitatively its improved potency is reasonable. Quantitatively, its 52-fold effect on 290
EC50 is at the outer edge of what might be expected by ligand -efficiency, especially since the 291
methyl buries a serine hydroxyl. This is echoed by the free energy calculation, which here too 292
correctly predicts improved activity, but only by 2 - not 52 -fold. Th ese are examples of 293
complexes where the analogs largely superpose on the parent and each other. In complexes 294
where the single-atom changes led to substantial inhibitor movement , or to the adoption of 295
multiple ligand conformations, prediction was harder still (Extended Data Fig 5). For example, 296
the Mac1 methyl analog ‘3176 repositions the inhibitors in the pocket (Extended Data Fig. 5b), 297
while compounds ‘9249 and ‘3194 adopt two distinct conformations in the site (Extended Data 298
Fig. 5b), a phenomenon that i s likely underreported in the PDB 34 but is readily seen at ultra -299
high resolution. Taken together, this set of perturbations may provide an interesting and 300
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sometimes challenging test for prediction methods, and su ggests that there may be merit in 301
systematic small perturbations as a strategy, though showing that was not a goal of this study. 302
303
Figure 3. Structural basis of potency changes induced by single -atom modifications for Mac1 304
inhibitors. a. Chemical structure of the ’3453 parent and overlay of X -ray crystal structures of 12 305
analogs. b. Alignment of ‘0676 (21 μM) and ‘9249 (53 μM) with the ‘3453 parent showing the difference 306
in binding pose for the ortho -chloro and ortho-methyl substituted analogs. c. Comparison of ‘6343 (2.1 307
μM), ‘1304 (1.9 μM) and ‘0676 (21 μM) reveals that repositioning the aryl chloride disrupts packing with 308
I131 and F132, reducing potency. d. Para-methyl (‘9870, 7.6 μM), para -chloro (‘6343, 2.1 μM) 309
substitutions have different effects despite similar sterics. Fluoro analog ‘6404 (5.5 μM) shows weaker 310
binding than the ‘chloro (‘6343), likely reflecting weaker non -covalent interactions. e. Nitrogen 311
substitutions (C→N) in ‘3169, ‘6627, and ‘8675 all pay increased desolvation penalties. Compared to 312
their shared parent (8.8 μM), ‘8675 (meta -N) improved potency nearly 2-fold (4.5 μM), ‘6627 (8.7 μM) 313
showed little improvement, and ‘3169 (10 μM) is slightly worsened. 314
315
In optimizing chemical probes and leads , compound pharmacokinetics (PK) is as 316
important as molecular target affinity/potency 35,36. We thus explored how the small perturbation 317
analogs affected the PK properties versus those of the parent ligands, and how these changes 318
related alterations of affinity/potency. We measured the following in vitro PK properties: 319
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metabolic stability in microsomes (half-life), plasma stability (half-life), plasma protein binding 320
(fraction unbound), solubility (uM), hERG inhibition (IC50, uM) , and membrane permeability 321
(PAMPA assay) (cm/s) of both the parent ligands and their small change analogs (Figure 4, 322
Supplementary Table 3-8). While these are all in vitro measurements, they are proxies that 323
are considered predictive of in vivo PK37-39. Some of the small change analogs showed 324
meaningful improvements relative to the parent ligands for each of these properties (Extended 325
Data Table 2). For example, 12.4% of the analogs had ≥3-fold improvement in microsomal 326
stability, while 20.8% of them had a >3-fold improvement in plasma stability, versus the parents. 327
For 13.8% of the analogs, solubility improved by ≥3-fold, while 6.2% of them improved >3-fold 328
in permeability. Examining the fraction unbound in plasma, 13.2% of the analogs improved ≥3-329
fold. These findings illustrate that each property is amenable to meaningful optimization even 330
by simple changes. We also observed a substantial fraction of analogs with ≥3 -fold decreases 331
in these same properties (Extended Data Figure 6). Considering what are perhaps the three 332
most impactful in vitro PK measurements, microsomal stability, fraction unbound, and 333
permeability, 36% of the analogs suffered >3 -fold losses in at least one of these , almost all 334
(96%) suffered at least some deterioration by the same criterion, and 37% deteriorated in all 335
three in vitro PK properties. 336
337
If many of the small perturbation analogs improved substantially in individual PK 338
properties, none of those with >10-fold increased potency improved or even maintained more 339
than one of what we might consider the three most important ones: metabolic stability, PAMPA 340
permeability, and fraction unbound in the plasma (Figure 4.a, Extended Data Figure 7); most 341
were worse by all three properties. Indeed, the changes in in vitro PK were, at best, orthogonal 342
to affinity/potency fold-change (Figure 4b), and several properties were anti-correlated with it. 343
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This is born out on an atom -by-atom level: those atoms that most often improved 344
affinity/potency substantially, like methyls and chloros (Figure 2a), were least associated with 345
improved pharmacokinetic properties, such as microsomal stability or fraction unbound (Figure 346
4c, Extended Data Figure 8). Meanwhile, those atoms least likely to improve affinity/potency 347
substantially, like aromatic C N, were most likely to improve microsomal stability or fraction 348
unbound. Density and cumulative distribution plots illustrate this divergence in effect (Extended 349
Data Figure 8), with distinct shifts in property distributions across modifications. More broadly, 350
most of the pharmacokinetic properties were largely independent of one another, with no 351
correlations exceeding |ρ| > 0.5 and those that were statistically significant having Spearman ρ 352
values ranging only from |0.16| to |0.38|. What emerges is a frustrated landscape for ligand 353
optimization, with affinity/potency improvements counterbalanced by often worsening 354
pharmacokinetics. While this trade-off has been noted in medicinal chemistry, 40,41 this set 355
quantifies its systematic impact. 356
357
Fig.4 A frustrated landscape for ligand optimization. a, Fold-changes in pharmacokinetic 358
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18
properties for the 29 analogs that were >10-fold improved in affinity/potency versus a parent. b, 359
Correlations between affinity/potency fold changes and those of the other PK properties. c, The 360
fraction of single atom changes that were >3x fold improved in each parameter. Error bars represent 361
95% confidence intervals, estimated from 10,000 iterations of bootstrap resampling. 362
363
The current benchmark only comprises several hundred analogs. If we could predict the 364
Results
of the small perturbations, rather than having to experimentally test them, the set could 365
be much extended. We therefore asked how well modern methods could predict the relative 366
affinity/potency and pharmacokinetic changes we observed. In blinded experiments, we used 367
free energy perturbation , arguably the highest level of theory available to the field, with the 368
program FEP+ (Schrodinger, New York) to predict the changes in activity between the parents 369
and analogs (Figure 5 a-c). Similarly, we asked how well we could predict in vitro 370
pharmacokinetic changes between the parents and analogs, using widely accessible tools 371
(Figure 5d). 372
373
There was a strong overall correlation between the FEP+-predicted and experimentally 374
measured binding free energies (ΔG), with most predictions (190) falling within ±2 kcal/mol of 375
the experimental values, and 131 within ±1 kcal/mol, while the set had a mean unsigned error 376
(MUE) to ΔG as 1.07 kcal/mol (Figure 5a,b). Of the 18 parents, the FEP+ predictions on 14 had 377
ΔG MUE below 1.2 kcal/mol (Supplementary Table 9). If one considers the correlations 378
qualitatively, of the 35 analogs predicted to lose affinity by 1 kcal/mol or more by FEP+ (i.e., in 379
the range of confident prediction), 20 did lose affinity/potency by experiment. Meanwhile, of the 380
34 predicted to increase in affinity/potency by more than 1 kcal/mol by FEP +, 14 did so 381
experimentally while 12 were experimentally neutral and 8 instead showed decreased potency. 382
Categorization with a 1 kcal/mol threshold reveals a significant association between the 383
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19
direction and strength of FEP+ predictions and experimentally observed affinity/potency 384
changes (² of 36.4 and a p-value < 0.001) (Supplementary Table10). 385
386
It is useful to note several of the challenges facing accurate FEP predictions for this 387
series, which future work may share. The predictive power was likely weakened by our inability 388
to measure affinity/potency for weak analogs, diminishing the overall range of affinities and 389
making it impossible to measure affinities predicted to be very low by FEP +. We used an 390
automated workflow to generate input poses for the calculations; on visual inspection, most of 391
the outliers were caused by suboptimal initial poses of analogs. The accuracy of FEP 392
calculations is strongly impacted by the quality of the ligand -complexed structures42, and the 393
FEP+ predictions here began with docking poses, which are less reliable than experimental 394
structures. For the 25 analog structures that we determine d by crystallography (for Mac1 395
analogs) and by cryoEM (for an 2a analog, below), there were many cases where the 396
predicted and experimental poses closely superimposed, and for these the FEP+ energies were 397
largely consistent with the experimental measurements (Figure 5C). 398
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20
399
Figure 5: Accuracy of computational predictions of analog relative affinity and in vitro 400
pharmacokinetics. a. Comparison of FEP-predicted and experimentally measured binding free 401
energies (ΔG). Dashed lines indicate ±1 and ±2 kcal/mol error margins. b. Correlation between 402
FEP-predicted and experimental measured relative binding free energy changes (ΔΔG). c. An 403
example of good structural alignment between the predicted (cyan) and experimental (grey) 404
poses, accompanied by a small error in the predicted ΔΔG. d. Heatmap of Spearman 405
correlations between AI-predicted and experimentally measured fold changes across six in vitro 406
PK properties, evaluated using three models. Color intensity indicates correlation strength; 407
significance: p < 0.05 (*), < 0.01 (**), < 0.001 (***). 408
409
Recently, AI-based platforms have been developed to facilitate ligand optimization by 410
predicting ADMET properties with increasing accuracy and scale, guiding experiment43,44. We 411
compared the ADMET predictions from ADMET -AI, ADMETLab 3.0, and Deep -PK45-47 to the 412
experimentally measured values. The predictions of all three were significantly correlated with 413
experimental measurements of plasma fraction unbound and with permeability, while 414
microsomal stability , plasma stability and solubility, which are widely considered difficult to 415
predict48,49, were essentially uncorrelated. Correlations in the 0. 4 to 0.5 range, as they often 416
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21
were for fraction unbound and permeability, are strong enough to help guide compound 417
selection in many circumstances, and these open -access tools may have broad impact. Still, 418
even with a correlation of 0. 53 in fraction unbound, the highest we observed, 28 analogs that 419
had substantially increased fraction unbound experimentally were predicted to have lower 420
levels than their parents, and 16 analogs that had higher protein binding than their parents 421
experimentally were predicted to have less. Taken together, while the FEP and ADMET 422
predictions can profitably model the effects of the small perturbation analogs, their correlations 423
with experiment are not yet strong enough to allow this set to be extended by calculation alone. 424
425
Multi-parameter optimization for an improved analgesic. Notwithstanding the 426
frustrated landscape for ligand affinity /potency and pharmacokinetic improvement, medicinal 427
chemists can often navigate the multi-parameter optimization to overall improve the properties 428
of lead molecules. In this study, too, there were analogs that improved in affinity/potency with 429
only modest sacrifice in pharmacokinetics (PK). Among these was an analog of an 2a parent, 430
compound ‘4905, where a single methyl group substitution improved potency 52-fold (Figure 431
6a, b). To understand this improvement at atomic resolution, we determined the structure of 432
‘4905/alpha2a/G protein complex by single particle cryoEM to 2.8 Å resolution. Encouragingly, 433
the experimental structure of ‘4905 superposed closely with the docking prediction for the 434
parent ‘3629 and with the experimental structure of a previously described lead member of this 435
family of alpha2a agonists, ‘ 9087, suggesting that the methyl perturbation did not change the 436
orientation of the analog, and that this family may be understood in the same structural context. 437
From the cAMP dose –response curves, we obser ved a slight upward deflection at high concentrations 438
for ‘4905. Consistent with this, PTX -treated cAMP assays showed a residual, concentration -dependent 439
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22
increase in cAMP for ‘4905 but not 3629 (Supplementary Figure 6), suggesting secondary Gs coupling 440
by the ligand. Structurally, the extra methyl in 4905 fills a hydrophobic subpocket and shifts Y409 6.55 441
(implicated in Gs activation), which may bias the receptor toward conformations permissive for Gs 442
engagement. Improved steric complementarity with residues in TM5 and TM3, and a closer 443
distance between the partly cationic bridging nitrogen with the crucial Asp128 on TM3, helps to 444
explain the improved potency of ‘4905 over its parent. 445
446
While the improved potency of ‘4905 came at a cost to its in vitro pharmacokinetics, the 447
effects were relatively modest: Compared to its parent, ‘3629, the fraction unbound decreased 448
by 57% and the microsomal half -life was reduced by 41%. (Supplementary Table 3-8). The 449
in vivo PK of ‘4905 qualitatively reflected the in vitro results, with CSF concentrations—a proxy 450
for fraction unbound in the brain50—reduced by about 36%, while the half-life was reduced from 451
196 to 15.2 minutes (Supplementary Table 3-8). These size of these effects suggested that 452
they might be outweighed by the analog’s great increase in activity. Accordingly, we compared 453
the in vivo analgesia conferred by ‘4905 to its parent ‘3629 and to PS75, the most potent 454
analgesic known for this family of alpha2a agonists 51. Despite the deterioration in 455
pharmacokinetic properties, in mouse nociception assays including tail flick, neuropathic pain 456
(SNI), and hot-plate the new analog ‘ 4905 was far more potent than the parent ‘3629 and at 457
least as potent as PS75 (Figure 6 c-e). If ligand optimization is a frustrated landscape, it 458
remains a navigable one as is well-known to medicinal chemistry
41
. In addition to beginning to 459
provide a random background for such efforts, this study supports a strategy by which that 460
landscape may be reconnoitered21,24. 461
462
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23
463
Figure 6. A single-atom addition to an alpha2a receptor agonist creates a more potent 464
analgesic in vivo. a. Docking pose of parent ‘3629 superposed on the cryoEM structure of analog 465
‘4905, which differs from ‘3629 by the addition of a single methyl group. 466
b. ‘4905 is 50-fold more potent than the parent ‘3629 in receptor activation in vitro. We note that the 467
apparent reduced efficacy through Gi coupling at concentrations greater than 1 nM likely reflects the 468
activation of Gs. c-g. ‘4905 is more potent than the parent ‘3629 in c-e. Reflex pain as measured in 469
tail flick response to heat; f. Reversal of mechanical allodynia in a neuropathic pain model (SNI). g. 470
Efficacy in reducing thermal acute pain assessed via the hotplate test. 471
472
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24
Discussion
473
While ligand optimization is at the heart of drug discovery, quantifying the success of 474
strategies to modify ligands has been difficult owing to a lack of a random background 475
comparison set. Four key observations emerge from this study. First, systematic and unbiased 476
small perturbations to 18 different scaffolds revealed that 11.2% of the analogs improved >10-477
fold in affinity /potency versus the parent (Table 1); “magic methyls” 25,52 were common in this 478
set. These improvements were observed against five of six receptors targeted, across physical 479
properties of target and ligand, and across five orders of magnitude of parent affinity/potency. 480
This begins to establish a background expectation for affinity /potency optimization against 481
which methods and design s may be compared . It may also suggest a simple, unbiased 482
approach for achieving substantial jumps in affinity/potency, improvements that will not always 483
be obvious from structural analyses or even high -level simulations (Figures 2 and 5) but may 484
complement them. Second, improved affinity/potency typically came at the cost of ligand 485
pharmacokinetics (PK), with plasma fraction unbound, stability to liver microsomes, and 486
permeability—among other terms —declining as analog affinity /potency increased. The 487
individual in vitro pharmacokinetic terms were orthogonal to each other, and several were anti-488
correlated with affinity/potency improvement (Figure 4). This suggests a frustrated landscape 489
for ligand optimization. Although the qualitative challenges and trade-offs in ligand optimization 490
are known to medicinal chemists 6,40,41, this study begins to quantify them at scale and across 491
a range of target classes and ligand properties . Third, computational prediction of 492
affinity/potency and PK had some success anticipating the trends we observed ( Figure 5) 493
implying that they may even tually guide compound selection . Still, their correlations with 494
experiment remained loose enough to preclude replacing systematic exploration and testing of 495
molecules as this background set is further expanded , something seen with other potency 496
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25
prediction methods53. Fourth, while potency trades-off against PK, it is possible to find analogs 497
where it rises sufficiently to overcome drops in exposure and half-life. A testament to this is the 498
in vivo potency of the 2a analog ‘4905, which despite suffering these trade-offs nevertheless 499
is the most potent analgesic in vivo in a large series, and is certainly far more potent in vivo 500
than its parent. It may be interesting to model the implications of the orthogonal and anti -501
correlated terms here to understand how best to navigate this multi -parameter optimization 502
problem. 503
504
At first glance, this study is reminiscent of learnings from classical medicinal chemistry 505
where conservative and ligand-based approaches like Topliss Trees9 dominated the field. But 506
this would be to misremember the classic age of medicinal chemistry on two counts. First, the 507
systematic small perturbations explored here were rarely used then, partly because the building 508
blocks and reactions to support them were lacking. The ability to systematically explore small 509
perturbations, across starting scaffolds and targets, reflects the advances in synthetic chemistry 510
over the last 50 years and also the new building-block approaches that have expanded readily 511
available compounds 54,55. Second, the logic behind Topliss Trees and other quantitative 512
structure-activity approaches9,10 were anchored in ligand physical chemistry without reference 513
to receptor structure. For instance, in Topliss Trees the success of methyl and chloro 514
derivatives were thought to teach opposite lessons because of their different el ectronic effects 515
on the ligand, whereas the steric and non-polar properties of the two groups will seem similar 516
from the view “inside the receptor”52,56.Indeed, this is what we find in the similar affinity/potency 517
effects of the two substitutions. Meanwhile, the advantage of a random background, so integral 518
to molecular biology, would have seemed foreign to classical medicinal chemistry. Thus, while 519
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a strategy of systematic small perturbations may smack of the “methyl, ethyl, propyl, butyl, futile” 520
approach with which classic medicinal chemistry has been tarred 57,58, it has a different basis in 521
theory and reflects new synthetic opportunities. 522
523
Certain limitations of this study merit airing. At 257 analogs and six targets, our set 524
remains small and inevitably, if unintentionally, biased. We do not pretend that three class A 525
GPCRs, one transporter, and two soluble enzymes adequately represent pharmacologically 526
relevant targets, nor that the 18 parent ligands can adequately represent ligand space. 527
Expanding the analysis to additional targets and ligand classes might reveal different trends. 528
We note that the six targets do recognize a range of chemotypes, including large polar co -529
factors (Mac1) , large hydrophobic lipids (CB2), anionic -lactams ( AmpC), cationic 530
neurotransmitters (2a and SERT), and peptides (µOR). Experimentally, we assessed activity 531
changes using radioligand competition binding assays (SERT, 2a), second messenger assays 532
(2a, CB2, and MOR), and binding and enzyme activity (Mac1 and AmpC) assays. While ligand 533
competition correlates with Ki, agonist EC50s are affected by receptor expression. Because we 534
compared the relative activities of analogs versus their parents , controlled for receptor 535
expression (Supplementary Figure 4), and measured effects in a low expression level domain 536
(Supplementary Figure 5), the effects of receptor expression on relative activity should be 537
modest, though they cannot be completely discounted. For these and related reasons, changes 538
of EC50 between agonist parent and analogs cannot be read as changes in affinity the way that 539
changes in Ki can be, though EC 50 changes remain the relevant metric for agonist activity. 540
Overall, the impact of these effects may be inspected case by case in full co ncentration-541
response for any parent ligand pair with >3 -fold improvement in activity (Supplementary 542
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27
Figure 2). In the area of in vitro pharmacokinetics, our use of liver microsomes rather than 543
hepatocytes to measure metabolic stability meant that some types of metabolism were missed, 544
including glucuronidation. This might make groups like phenolic hydroxyls seem less labile 545
than they would be in vivo. More broadly, for all but two molecules we only measured in vitro 546
not in vivo pharmacokinetics. Whereas the in vitro measurements qualitatively anticipated the 547
in vivo effects where we did measure them, and are widely used in ligand optimization, their 548
quantitative prediction of in vivo behavior is only approximate. 549
550
These limitations should not obs cure the main observations of this study. Over 11.2% 551
of systematic and unbiased small perturbations improved analog affinity/potency >10-fold, 552
beginning to establish a background expectation for the likelihood of substantial ligand 553
affinity/potency improvement and a systematic approach to doing so 21,24. Balancing this was 554
a concomitant deterioration in ligand pharmacokinetics, which will lower the exposure and half-555
life of a ligand in vivo, counteracting the improvements in affinity/potency. Navigating this multi-556
parameter space is at the heart of medicinal chemistry; this study supports to the development 557
of quantitative models to do so. 558
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scale chemical libraries. Bioinformatics 40, doi:10.1093/bioinformatics/btae416 (2024). 675
48 Bergstrom, C. A., Wassvik, C. M., Johansson, K. & Hubatsch, I. Poorly soluble marketed 676
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49 Obach, R. S. Prediction of human clearance of twenty-nine drugs from hepatic microsomal 679
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50 Friden, M. et al. Structure-brain exposure relationships in rat and human using a novel data 682
set of unbound drug concentrations in brain interstitial and cerebrospinal fluids. J Med 683
Chem 52, 6233-6243, doi:10.1021/jm901036q (2009). 684
51 Fink, E. A. et al. Structure-based discovery of nonopioid analgesics actin g through the 685
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52 Leung, C. S., Leung, S. S., Tirado-Rives, J. & Jorgensen, W. L. Methyl effects on protein -688
ligand binding. J Med Chem 55, 4489-4500, doi:10.1021/jm3003697 (2012). 689
53 Sindt, F., Bret, G. & Rognan, D. On the Difficulty to Rescore Hits from Ultralarge Docking 690
Screens. J Chem Inf Model 65, 5553-5566, doi:10.1021/acs.jcim.5c00730 (2025). 691
54 Lyu, J. et al. Ultra-large library docking for discovering new chemotypes. Nature 566, 224-692
+, doi:10.1038/s41586-019-0917-9 (2019). 693
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55 Moroz, Y., Chuprina, A. & Mykytenko, D. Enamine REAL DataBase - an instrumental and 694
practical vehicle for charting new regions of the relevant drug discovery chemical space . 695
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56 Verteramo, M. L. et al. Interplay of halogen bonding and solvation in protein-ligand binding. 697
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57 Krimmer, S. G., Betz, M., Heine, A. & Klebe, G. Methyl, ethyl, propyl, butyl: futile but not for 699
water, as the correlation of structure and thermodynamic signature shows in a congeneric 700
series of thermolysin inhibitors. ChemMedChem 9, 833-846, doi:10.1002/cmdc.201400013 701
(2014). 702
58 Wermuth, C. G. The Practice of Medic inal Chemistry. (Elsevier Science & Technology, 703
2008). 704
59 Gahbauer, S. et al. Iterative computational design and crystallographic screening identifies 705
potent inhibitors targeting the Nsp3 macrodomain of SARS -CoV-2. Proceedings of the 706
National Academy of Sciences 120, e2212931120 (2023). 707
60 Liu, F. et al. The impact of library size and scale of testing on virtual screening. Nature 708
Chemical Biology, 1-7 (2025). 709
61 Clopper, C. J. & Pearson, E. S. The use of confidence or fiducial limits illustrated in the 710
case of the binomial. Biometrika 26, 404-413 (1934). 711
62 Virtanen, P. et al. SciPy 1.0: fundamental algorithms for scientific computing in Python. Nat 712
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63 Lu, C. et al. OPLS4: Improving Force Field Accuracy on Challenging Regimes of Chemical 714
Space. J Chem Theory Comput 17, 4291-4300, doi:10.1021/acs.jctc.1c00302 (2021). 715
64 Balius, T. E. et al. Testing inhomogeneous solvation theory in structure -based ligand 716
discovery. Proceedings of the National Academy of Sciences 114, E6839-E6846 (2017). 717
65 Singh, I. et al. Structure-based discovery of conformationally selective inhibitors of the 718
serotonin transporter. Cell 186, 2160-2175. e2117 (2023). 719
66 Vigneron, S. F. et al. Docking 14 Million Virtual Isoquinuclidines against the μ and κ Opioid 720
Receptors Reveals Dual Antagonists–Inverse Agonists with Reduced Withdrawal Effects. 721
ACS Central Science (2025). 722
67 Hua, T. et al. Activation and signaling mechanism revealed by cannabinoid receptor -Gi 723
complex structures. Cell 180, 655-665. e618 (2020). 724
68 Hua, T. et al. Crystal structures of agonist-bound human cannabinoid receptor CB1. Nature 725
547, 468-471 (2017). 726
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69 Manglik, A. et al. Structure-based discovery of opioid analgesics with reduced side effects. 727
Nature 537, 185-190 (2016). 728
70 Yung-Chi, C. & Prusoff, W. H. Relationship between the inhibition constant (KI) and the 729
concentration of inhibitor which causes 50 per cent inhibition (I50) of an enzymatic reaction. 730
Biochemical pharmacology 22, 3099-3108 (1973). 731
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through crystallographic screening and computational docking. Science advances 7, 733
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complexes. Nat Commun 9, 3712, doi:10.1038/s41467-018-06002-w (2018). 736
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analysis. Protein Sci 27, 14-25, doi:10.1002/pro.3235 (2018). 738
74 Liebschner, D. et al. Macromolecular structure determination using X -rays, neutrons and 739
electrons: recent developments in Phenix. Acta Crystallogr D Struct Biol 75, 861 -877, 740
doi:10.1107/S2059798319011471 (2019). 741
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through crystallographic screening and computational docking. Sci Adv 7, 745
doi:10.1126/sciadv.abf8711 (2021). 746
77 Correy, G. J. et al. Exploration of structure -activity relationships for the SARS -CoV-2 747
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750
751
(which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission.
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34
Methods
752
ChEMBL database molecular pairs. From the PostgreSQL version of CHEMBL3423 753
(https://doi.org/10.6019/CHEMBL.database.34), we filtered the database for compounds with 754
activities reported against a single protein, with either Ki, Kd, IC50 or EC50 as the activity type. 755
To be considered a molecular pair, compounds had to have the same assay ID, the same 756
target ID, the same activity type, and the same reference document (publication) ID, in 757
addition to having a parent-analog relationship as defined in this work, meaning a C-H group 758
replaced by C-OH, C-F, C-Cl, C-Br, C-CH3 or an aromatic carbon replaced by a nitrogen. This 759
left us with 191,732 parent-analog pairs. 760
761
Analog enumeration and synthesis. Eighteen parent compounds were selected from 762
previously published literature51,59,60 or datasets 763
(https://asapdiscovery.org/outputs/molecules/#ASAP-SARS-COV-2-NSP3-MAC1) based on 764
their known binding activity, structural relevance, or representation of diverse chemical 765
scaffolds. Starting from a parent compound, we used RDKit (www.rdkit.org) to identify all C-H 766
bonds and iteratively replace the hydrogen atom with a methyl, hydroxyl, fluoro, chloro or 767
bromo group. We also identified aromatic carbons with two heavy-atom neighbors and 768
replaced them with nitrogen. Every analog generated was represented as a canonical 769
isomeric SMILES string and added to a set to remove duplicates. For each of the 18 parents, 770
the full set of possible analogs that could be synthesized for < $400 for 10mg were ordered. 771
772
Confidence intervals and statistics. When reported, 95% confidence intervals were 773
derived from bootstrap resampling with 10,000 iterations. In cases where the observed 774
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35
frequency of success is exactly 0, bootstrap will fail to give an upper bound for the interval. In 775
such cases, we used the Clopper-Pearson method to estimate an upper bound based on the 776
sample size.61 Pearson and Spearman correlations with their associated p-values were 777
computed using the scipy.stats module from the SciPy package62. 778
779
FEP simulations. These were conducted using FEP+ within the Schrödinger software 780
suite (versions 2025-2) with the OPLS4 force field63 and the modified SPC water model. The 781
default setting was used for the number of lambda windows selection where it depends on the 782
type of perturbations; charge-changing, core hopping, and all other perturbations have 24, 16, 783
and 12 lambda windows respectively. For alchemical transformations with charge changes, 784
the total charge of the simulation box was kept constant by transmuting a Na+ or Cl- ion to 785
water or vice versa. In addition, a 0.15 M concentration of NaCl was added to the simulation 786
box of charge-changing perturbations. For α2A, CB2, and SERT, the FEP+ membrane 787
protocol was applied where a POPC membrane was added to the system in simulation. All 788
other settings were kept default except the simulation time was extended from 5 ns to 10 ns. 789
790
The default FEP map generation protocol was used with the parent compound selected 791
as the biased node. In preparing proteins and ligands for FEP+, the Schrödinger protein 792
preparation workflow and LigPrep were used. The initial binding poses of parent compo unds 793
were from poses generated by DOCK3.8, and analogs were aligned to the parents with severe 794
steric clashes resolved using the FEP+ Pose Builder workflow. 795
796
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36
Docking: Whereas no structural information was used in the design of analogs from 797
parent compounds, for FEP+ calculations and for post hoc structural analysis, we generated 798
ligand bound complexes of the parents and relevant ligands using DOCK.3.854,64. Ligands were 799
docked into the receptor binding site using grids prepared in previous studies51,59,60,65,66. 800
801
Assay selection. We use one consistent readout per parent series (no mixing within a 802
series). SERT and AmpC are reported as Ki; Mac1 is reported as IC50 from peptide 803
displacement (a scalable functional hydrolysis assay is unavailable); GPCR agonist series are 804
reported as EC50 and antagonist series as Ki, such that MOR is EC50 -only whereas α2A and 805
CB2 include EC50 and Ki depending on the parent series. Representative concentration –806
response curves and the corresponding Z values for each assay are provided in 807
Supplementary Figure 3. 808
809
Transporter assays for SERT Ki. SERT activity was measured using the 810
Neurotransmitter Transporter Uptake Assay Kit from Molecular Devices (Catalog #R8174), 811
following the manufacturer’s protocol with slight modifications as described previously65. 812
HEK293 cells stably expressing human SERT were plated in poly-L-lysine (PLL)-coated 384-813
well black, clear-bottom plates at a density of 15,000 cells in 40 µL per well, using DMEM 814
supplemented with 1% dialyzed FBS (dFBS). Cells were incubated overnight at 37°C with 5% 815
CO₂ to allow adherence and recovery. The following day, the medium was carefully aspirated, 816
and cells were incubated with 25 µL per well of test compound solutions prepared in assay 817
buffer (1× HBSS, 20 mM HEPES, pH 7.4, supplemented with 1 mg/mL BSA) for 30 minutes at 818
37°C. After drug treatment, 25 µL per well of dye solution (as provided in the kit) was added 819
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37
directly to the wells, followed by an additional 30-minute incubation at 37°C. Fluoxetine (10 820
µM) was used as a positive control for SERT inhibition. Fluorescence was measured using 821
the FlexStation II microplate reader with excitation at 440 nm and emission at 520 nm. 822
Relative fluorescence units (RFUs) were exported and analyzed using GraphPad Prism 10.0 823
to calculate IC₅₀ values, from which Ki values were derived using the Cheng-Prusoff equation. 824
825
CB2 radioligand binding assay. CB2 receptor binding assays were performed using 826
membrane preparations from HEK293 cells stably expressing human CB2, following 827
previously published methods67,68. Membranes were resuspended in TME buffer containing 828
0.1% BSA (w/v) and 25 µg of membrane protein was added per well. The assay was 829
conducted using the radioligand [³H]CP-55,940 at a final concentration of 0.75 nM, prepared 830
in assay buffer. Nonspecific binding was defined in the presence of 5 µM unlabeled CP-831
55,940. Test compounds were applied at increasing concentrations to assess competition. 832
Reactions were incubated at 30 °C for 1 hour with gentle shaking. After incubation, samples 833
were transferred to Unifilter GF/B 96-well filter plates and filtered using a Packard Filtermate-834
196 cell harvester (PerkinElmer). Plates were washed four times with ice-cold wash buffer (50 835
mM Tris-HCl, 5 mM MgCl₂, 0.5% BSA, pH 7.4). Radioactivity bound to the filters was 836
quantified via liquid scintillation counting. Specific binding was calculated by subtracting 837
nonspecific from total binding. IC₅₀ and Ki values were calculated using nonlinear regression 838
in GraphPad Prism 9 using the Cheng-Prusoff equation. 839
840
α2A Receptor Binding Assay. α2A adrenergic receptor binding was performed using 841
membrane preparations from insect cells expressing human α2A receptors, as previously 842
described51. Membranes were incubated with increasing concentrations of test compounds 843
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38
and 5 nM [³H]-rauwolscine in buffer containing 20 mM HEPES (pH 7.5) and 100 mM NaCl, at 844
room temperature for 2 hours. After incubation, samples were filtered onto GF/B filter plates, 845
washed with ice-cold buffer, and radioactivity was quantified by liquid scintillation counting. 846
IC₅₀ and Ki values were derived using nonlinear regression in GraphPad Prism. 847
848
849
GloSensor cAMP assay for α2A, CB2, and MOR. The GloSensor cAMP assay was 850
performed following the manufacturer’s instructions (Promega) with slight modifications as 851
previously described51,69. Briefly, wild-type (WT) human α2A, CB2, and MOR were cloned into 852
the pcDNA3.1 vector and co-transfected with the 22F cAMP GloSensor plasmid into 853
HEK293T cells cultured in 6-well plates. After 24 hours, cells were reseeded into 96-well white 854
plates in CO₂-independent medium and equilibrated with GloSensor cAMP reagent as per the 855
manufacturer's protocol. Cells were incubated for 1 hour at 37 °C followed by 1 hour at room 856
temperature. Where applicable, 10 μM forskolin was used to elevate basal cAMP levels for 857
assessing receptor-mediated inhibition. Serially diluted test compounds were added, and 858
luminescence signals were recorded using a PerkinElmer microplate reader. Data were 859
analyzed using GraphPad Prism 9.0 to calculate EC₅₀ or IC₅₀ values. 860
861
AmpC β-lactamase Inhibition Assay. The AmpC β-lactamase inhibition assay was 862
performed as previously described60. The candidate inhibitors were dissolved in DMSO (20 mM stock) 863
and diluted to maintain a constant 1% DMSO (v/v) in 50 mM sodium cacodylate buffer (pH 6.5). 864
Assays were performed in the presence of 0.01% Triton X-100 to reduce aggregation artifacts. AmpC 865
enzymatic activity was monitored spectrophotometrically using CENTA or nitrocefin as substrates. 866
Initial screening was performed at 200 µM, 100 µM, and 40 µM compound concentrations. Substrate 867
concentrations were selected based on known Km values to achieve defined [S]/Km ratios: for CENTA 868
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39
([S] = 50 µM, Km = 27.6 µM) and nitrocefin ([S] = 100 µM or 28 µM, Km = 180 µM). Reactions were 869
carried out in 96-well format on a BMG Labtech CLARIOstar plate reader, with substrate and enzyme 870
injected into wells containing the inhibitor, followed by kinetic measurement over 50 seconds. IC₅₀ 871
values were determined by fitting inhibition curves in GraphPad Prism using a fixed Hill coefficient of 1, 872
and Ki values were calculated using the Cheng-Prusoff equation70. 873
874
875
HTRF assay for Mac1. Binding of the compounds to Mac1 was assessed by the 876
displacement of an ADPr conjugated biotin peptide from His6-tagged protein using a HTRF- 877
based assay, as previously described71.The expression sequences used for SARS-CoV-2 878
Mac1 are listed below. All proteins were expressed and purified as described previously for 879
SARS-CoV-2 Mac171. Compounds were dispensed into ProxiPlate-384 Plus (PerkinElmer) 880
assay plates using an Echo 650 Liquid Handler (Beckman Coulter). Binding assays were 881
conducted in a final volume of 16 μl with 12.5 nM NSP3 Mac1 protein, 200 nM peptide 882
ARTK(Bio)QTARK(Aoa- RADP)S (Cambridge Peptides), 1:20000 Anti-His6-Eu3+ cryptate 883
(HTRF donor, PerkinElmer AD0402) and 1:500 Streptavidin-XL665 (HTRF acceptor, 884
PerkinElmer 610SAXLB) in assay buffer (25 mM 4-(2-hydroxyethyl)-1-piperazi‐ 885
neethanesulfonic acid (HEPES) pH 7.0, 20 mM NaCl, 0.05% bovine serum albumin and 886
0.05% Tween-20, the latter also to reduce aggregation artifacts). Assay reagents were 887
dispensed manually into plates using an electronic multichannel pipette. Mac1 and peptide 888
were preincubated for 30 min at room temperature before HTRF reagents were added. 889
Fluorescence was measured after a 1 hour incubation at room temperature using a Perkin 890
Elmer EnVision 2105-0010 Dual Detector Multimode microplate reader with dual emission 891
protocol (A = excitation of 320 nm, emission of 665 nm, and B = excitation of 320 nm, 892
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40
emission of 620 nm). Compounds were tested in triplicate in a 14-point dose response. Raw 893
data were processed to give an HTRF ratio (channel A/B × 10,000), which was used to 894
generate IC50 curves using nonlinear regression using GraphPad Prism v.10.0.2 (GraphPad 895
Software, CA, USA). 896
897
hERG channel inhibition. hERG channel inhibition was evaluated using a Thallium 898
Flux assay on HEK293 cells stably expressing the human Ether-à-go-go Related Gene 899
(hERG) potassium channel. Cells were seeded at a density of 8000 cells per well in 384-well 900
poly-D-lysine–coated plates and incubated for 24 hours under standard conditions (37 °C, 5% 901
CO₂). The next day, a thallium-sensitive dye was added to the cells, followed by a 1-hour 902
incubation to ensure dye uptake. Test compounds were added to achieve a final 903
concentration of 30 μM in 0.5% DMSO, and the cells were incubated for an additional 30 904
minutes at room temperature. Subsequently, a stimulation buffer containing thallium was 905
added and fluorescence measurements were taken using a FLIPR Tetra system. Data were 906
collected every 3 seconds for 3 minutes (excitation: 470–495 nm, emission: 515–575 nm). 907
Fluorescence intensity over time was analyzed to calculate the area under the curve (AUC) 908
from which percentage inhibition was determined versus haloperidol at 100μM (positive 909
control) and vehicle (DMSO). 910
911
α2A Receptor Purification and Structure Determination. Wild-type human α2A 912
adrenergic receptor (α2AAR) was cloned into a pVL1392 vector with an N -terminal FLAG tag. 913
The construct was expressed in Spodoptera frugiperda (Sf9) insect cells using the BestBac 914
system. Cells at a density of 4 × 10⁶ cells/mL were infected with virus and incubated for 48 hours 915
at 27 °C. The receptor was solubilized and purified by FLAG affinity chromatography and size-916
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41
exclusion chromatography in the presence of 10 μM compound ‘4905. Monomeric peak 917
fractions were concentrated used for G protein complex formation. GαoGβ1γ2 heterotrimeric G 918
proteins were expressed in Hi5 insect cells and purified using Ni² ⁺-affinity following detergent 919
solubilization and dephosphorylation. The final α 2AAR–GαoGβ1γ2–scFv1672 complex was 920
assembled in the presence of ‘4905 and purified by size -exclusion chromatography. Cryo-EM 921
grids were prepared using UltrAufoil R1.2/1.3 300 mesh grids and vitrified in liquid ethane. Data 922
were collected on a Titan Krios G3 electron microscope equipped with a K3 direct electron 923
detector. Image processing was performed using cryoSPARC, yielding a final reconstruction at 924
~2.8 Å resolution. Model building and refinement was performed using PDB 7EJ8 as a starting 925
model using ChimeraX73, Phenix74, and Coot75. The final structures have been deposited in the 926
PDB with accession codes 9PLO and 9PLN. 927
928
Mac1 Purification and Crystallization. Wild-type Mac1 protein (P43 construct, 929
residues 3–169) was expressed in E. coli BL21(DE3) as an N-terminal His₆-tagged construct 930
and purified by Ni²⁺ affinity chromatography 76. The His-tag was cleaved with TEV protease, 931
followed by size-exclusion chromatography (Superdex 75) in 20 mM Tris-HCl (pH 7.5), 932
150 mM NaCl, and 1 mM DTT. Purified protein was concentrated to 40 mg/ml for 933
crystallization and stored at -80°C. 934
935
Crystals were obtained by sitting-drop vapor diffusion in 28% PEG 3000 and 100 mM 936
CHES (pH 9.5). Compounds (100 mM in DMSO) were added to crystal drops using an Echo 937
650 acoustic dispenser to a final concentration of 10 mM. Crystals were incubated at room 938
temperature for 2–4 hours and vitrified in liquid nitrogen without additional cryoprotection. X-939
(which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission.
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42
ray diffraction data were collected at ALS (beamline 8.3.1) and processed using XDS and 940
Aimless. Structures were determined to resolutions ranging from 0.97 to 1.02 Å. Ligands with 941
low occupancy or conformational disorder were modeled using PanDDA and refined using 942
Phenix 77.PanDDA event maps are shown in Supplementary Figure 7. The structure of ‘3184 943
was determined using a racemic preparation of the compound (‘9037). X-ray data collection 944
and refinement statistics are summarized in SI Table 2, as are the 32 PDB IDs. 945
946
Microsomal Stability. Microsomal stability of compounds was evaluated using pooled 947
mouse liver microsomes (XenoTech, M3000/lot #2010026) to estimate their metabolic stability 948
and predict hepatic clearance. Each compound was incubated at 2 μM in a reaction mixture 949
containing 0.42 mg/mL microsomal protein, phosphate buffer (100 mM, pH 7.4), MgCl₂ (3.3 950
mM), NADPH (3 mM), glucose-6-phosphate (5.3 mM), and glucose-6-phosphate 951
dehydrogenase (0.67 units/mL). Reactions were conducted at 37 °C in 96-well plates with 952
shaking at 100 rpm. Samples were collected at five time points (0, 7, 15, 25, and 40 minutes), 953
and reactions were quenched by adding five volumes of acetonitrile containing an internal 954
standard. After centrifugation at 5500 rpm for 5 minutes, the supernatants were analyzed via 955
HPLC-MS/MS. The elimination rate constant (kel), half-life (t₁/₂), and intrinsic clearance (Clint) 956
were calculated by plotting the natural logarithm of the remaining parent compound versus 957
time. Stability was compared with reference standards such as imipramine and propranolol. 958
959
Plasma Protein Binding (PPB). Plasma protein binding (PPB) was measured using 960
equilibrium dialysis with a 14 kDa molecular weight cut-off membrane in a 96-well HTD96b 961
dialyzer. Mouse plasma containing 1 μM test compound (0.005% DMSO, 1% acetonitrile) was 962
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43
placed in one chamber, and phosphate-buffered saline (PBS, pH 7.4) in the opposing 963
chamber. The assembled plates were incubated at 37 °C with 5% CO₂ and ∼95% humidity, 964
shaking at 250 rpm for 5 hours to reach equilibrium. After incubation, aliquots from each 965
chamber were mixed with equal volumes of the blank opposite matrix and processed with 966
acetonitrile containing internal standard. Supernatants obtained after centrifugation were 967
analyzed by HPLC-MS/MS. The percentage of compound bound to plasma proteins was 968
calculated using the peak area ratio in buffer to plasma compartments. Recovery and stability 969
standards were included to ensure accuracy and reliability. Verapamil served as a reference 970
control. Most compounds showed moderate binding, typically ranging between 75–85%. 971
972
Plasma stability. Plasma stability was assessed in non-sterile mouse plasma (Li-973
heparin treated) at 1 μM concentration (final DMSO content was 0.005%). Incubations were 974
carried out in aliquots of 60 μL each (two per time point) at 37 °C under 5% CO₂ and high 975
humidity (∼95%). The reactions were quenched with 240 µL of 90% acetonitrile containing an 976
internal standard at 0, 20, 40, 60, and 120 minutes, followed by centrifugation at 6000 rpm for 977
5 minutes. Supernatants were analyzed via HPLC-MS/MS to determine the percentage of 978
parent compound remaining at each time point. Data were plotted to calculate compound half-979
lives (t₁/₂). Reference compounds, verapamil and propantheline, were used as high and low 980
stability controls, respectively. This assay is critical for identifying compounds susceptible to 981
degradation by plasma esterases or hydrolytic enzymes, helping inform pharmacokinetic 982
optimization strategies during lead selection. 983
(which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission.
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44
984
Thermodynamic Solubility. Aqueous thermodynamic solubility was determined in 985
PBS (pH 7.4) for 247 compounds using a shake-flask method followed by UV absorbance 986
quantification. Dry powder compounds were dissolved in PBS to a theoretical concentration of 987
4 mM and incubated in duplicates at 25 °C for 4 and 24 hours with shaking. After incubation, 988
samples were filtered using HTS 96-well filter plates. The filtrates were diluted 2-fold in 989
acetonitrile with 4% DMSO for UV analysis. The incubation samples for charged molecules 990
were additionally diluted 10-fold with 50% acetonitrile/PBS with 2% final DMSO. Calibration 991
curves (0–200 μM) were prepared in 50% acetonitrile/PBS (2% final DMSO). Absorbance was 992
measured between 230–550 nm using a SpectraMax Plus microplate reader. Compound-993
specific absorbance maxima were used to calculate concentration using SoftMax Pro and 994
Excel. The assay dynamic range is ~2–400 μM (~20–4000 μM for charged molecules), with 995
values near the upper limit treated as semi-quantitative. Ondansetron was used as a 996
Reference
compound. This method reflects equilibrium solubility under physiologically relevant 997
conditions and helps rank compounds for formulation feasibility. 998
999
PAMPA-BBB. Passive blood-brain barrier (BBB) permeability was estimated using a 1000
Parallel Artificial Membrane Permeability Assay (PAMPA-BBB) with a phospholipid-coated 1001
membrane simulating the brain endothelium. Test compounds (50 μM in Prisma HT buffer, pH 1002
7.4, with 0.5% DMSO) were added to donor wells, while brain sink buffer was added to the 1003
acceptor wells. The donor and acceptor chambers were separated by a 0.45 µm filter 1004
membrane coated with brain polar lipids. Plates were incubated without agitation at room 1005
temperature for 4 hours. Post-incubation, samples from both chambers, as well as a standard 1006
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45
solution, were diluted with acetonitrile containing an internal standard. Apparent permeability 1007
coefficients (log Papp) were calculated based on peak area ratio. Clozapine and 1008
chlorpromazine were used as high-permeability controls, while ranitidine represented low 1009
permeability. The assay provides a high-throughput, non-cell-based method for estimating 1010
CNS exposure potential. 1011
1012
Behavioral analyses. All animal behavior experiments were conducted with the 1013
experimenter blinded to treatment. Mice were habituated individually in Plexiglas enclosures 1014
for 1 hour prior to testing. Compounds were administered subcutaneously 30 minutes before 1015
behavioral assessment, and where applicable the α2A adrenergic receptor antagonist 1016
atipamezole (2 mg/kg, intraperitoneally) was given 15 minutes before compound injection. Tail 1017
flick latency was measured by immersing the distal third of the tail in a 50°C water bath and 1018
recording the withdrawal time. For the neuropathic pain model, spared nerve injury (SNI) was 1019
performed under isoflurane anesthesia by ligating and transecting two of the three branches 1020
of the sciatic nerve, sparing the sural nerve. Mechanical thresholds were assessed 7 to 14 1021
days post-surgery using von Frey filaments and the up-down method, and values were 1022
normalized to each animal’s baseline. Thermal nociception was evaluated using a 55°C hot 1023
plate, and the latency to nocifensive behavior (paw lick or jump) was recorded with a cutoff of 1024
45 seconds to prevent tissue damage. Behavioral data are summarized as group size (n), 1025
mean, and SD (Supplementary Table 12). For the SNI experiment, we used two-way 1026
ANOVA followed by Tukey’s post-hoc multiple comparisons. For the hotplate assay, we used 1027
one-way repeated-measures ANOVA with Friedman post-hoc testing. For tail-flick, the 4905 1028
dose–response was analyzed by two-way ANOVA with Dunnett’s post-hoc comparisons to 1029
vehicle/control, whereas PS75 and 3629 dose groups were analyzed by one-way ANOVA 1030
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46
with Kruskal–Wallis post-hoc testing (Supplementary Table 12).For sample size,we did not 1031
perform formal a priori power calculations. Instead, group sizes were guided by our prior 1032
experience with these assays and by precedent in the literature. This approach may limit 1033
sensitivity to small effects. Raw data for the animal assays are provided in Supplementary 1034
Table 13. 1035
1036
Data availability. Most primary data is available through this manuscript and its extended 1037
and supplementary materials. Crystal and cryoEM structures and supporting electron density 1038
are being made available via the Protein Data Bank, including PDB 9PLN, the structure of the 1039
2a/’4905 complex and PDB 14AB, 7IIW, 7IIX, 7IIY, 7IIZ, 7IJ0, 7IJ1, 7IJ2, 7IJ3, 7IJ4, 7IJ5, 7IJ6, 1040
7IJ7, 7IJ8, 7IJ9, 7IJA, 7IJB, 7IJC, 7IJD, 7IJE, 7IJF, 7IJG, 7IJH, 7IJI, 7IJJ, 7IJK, 7IJL, 14AM, 14AN, 1041
14AO, 14AP, and 7IJM, structures of Mac1 in complex with inhibitors.. 1042
1043
Code availability. ZINC tools used in the selection of the small perturbation analogs are 1044
openly available and zinc22.docking.org. 1045
1046
Acknowledgements
Supported by US DARPA grant HR0011-19-2-0020 (to B .K.S., A .M., 1047
A.I.B., and B.L.R.), by US NIH R35GM122481 (to B.K.S.) by US ARPA-H grant 1AY1AX000035 1048
(PI J.S.F.), O.M. partially supported by US NIH postdoctoral fellowship F32GM154469. We 1049
thank Yeyue Xiong for help with the FEP studies. We thank the UCSF Cryo-EM facility staff for 1050
training and technical assistance. UCSF Cryo-EM equipment is partially supported by NIH 1051
grants S10OD020054, S10OD021741 , and S10OD026881 , and by the Howard Hughes 1052
Medical Institute. 1053
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47
1054
Author contributions: B.K.S., X.X., and O.M. designed the project. X.X. and O.M. designed 1055
the analogs with help from N.L. Alpha₂ receptor studies were performed by X.X. and H.H., with 1056
guidance from P.G. Alpha2A -related behavioral analyses were conducted by J.B., with 1057
guidance from A.I.B. Alpha₂ structural studies were performed by K.S., under the supervision 1058
of A.M. SERT binding studies were carried out by X.P.H. and J.W., with guidance from B.L.R. 1059
and ligand choice from Y.W. Mac1 biochemical assays were conducted by Y.U.D. M.S and M.D. 1060
supervised by A.A., and Mac1 crystallography was performed by G.C. with guidance from J.S.F. 1061
CB2 receptor assays were performed by X.X. and C.T., with ligand advice from M.R. AmpC 1062
assays were conducted by X.X. and F.L. All in vitro ADME and safety assay s were supported 1063
by Y.H. and Y.K. through Bienta. FEP calculations and analysis were performed by DS guided 1064
by GZ and RA . O.M. performed statistical analyses for both ChEMBL and experimental data. 1065
X.X., O.M., and B.K.S. prepared the manuscript. B.K.S. supervised the project. All authors 1066
reviewed and approved the final manuscript. 1067
1068
Competing interests B.K.S. is co-founder of Epiodyne, BlueDolphin, and Deep Apple 1069
Therapeutics, and serves on SAB for Schrodinger LLC, Vilya Therapeutics, Frontier Discovery 1070
Ltd, and on the SRB of Genentech . B.L.R. is founder of Onsero Therapeutics. J.S.F. is a 1071
consultant to and a shareholder of Vilya Therapeutics and Relay Therapeutics. The remaining 1072
authors declare no competing interest. 1073
1074
1075
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48
Extended Data Fig. 1 1076
1077
Extended Data Fig. 1 Frequency of activity changes from single-atom substitutions in 1078
ChEMBL and in this study. a, Cumulative frequency of single non-hydrogen atom 1079
substitutions (CH3, F, Cl, Br, N, OH) in ChEMBL that improve activity, stratified by that of the 1080
parent compound. “Potent” denotes parents with activity ≤32 nM, “mid” 32 nM–1 μM, and 1081
“weak” 1 μM–1 mM. b, For each target in this study, the percentage of analogs that improve 1082
or decrease activity by ≥3-fold or ≥10-fold versus their parent. Fold changes were rounded to 1083
the nearest integer prior to thresholding (e.g., 9.6–9.9 counted as 10-fold). Error bars denote 1084
95% bootstrap confidence intervals (percentile method; 20,000 resamples). Compounds 1085
yielding no measurable curves were counted as ≥10-fold decreases. c, Parent-level summary 1086
of analog effects in this study (rounded fold-change). 1087
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49
Extended Data Fig. 2 1088
1089
1090
Extended Data Fig. 2 Overview of Parent Compounds' Structures and Properties. 1091
a. 2D structures of the parent compounds. b. Molecular Weight (MW) and Affinity/potency 1092
values for the parent compounds. c. Structural Similarity matrix showing the relationships 1093
between parent compounds based on molecular fingerprint comparisons. 1094
1095
1096
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50
Extended Data Fig. 31097
1098
Extended Data Fig. 3 Correlation between parent compound or binding pocket 1099
properties and affinity/potency fold change. 1100
a. Correlation between parent molecular weight (MW) and log₁₀ affinity/potency fold 1101
change 1102
b. Correlation between parent pKi and log₁₀ affinity/potency fold change. 1103
c. Correlation between binding pocket volume and log₁₀ affinity/potency fold change. 1104
d. Correlation between SiteMap Dscore and log₁₀ affinity/potency fold change. 1105
1106
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51
Extended Data Fig. 4 1107
1108
Extended Data Fig. 4 Correlations between physicochemical descriptors and 1109
ΔpKi/pEC50 (log M) . a. Scatter plot of ΔpKi or pEC50 (log M) versus cLogP (RDKit). Each 1110
point represents one analog; the solid line indicates a linear fit. Pearson’s R and Spearman’s ρ 1111
are shown. b. ΔpKi or pEC50 (analog − parent) against ΔcLogP for all analog–parent pairs with 1112
≥3× rounded potency/affinity improvement; ≥10× improvements are highlighted in red. c. 1113
Scatter plot of ΔpKi or pEC50 (log M) versus ΔLE (analog − parent), where LE = 1.37 × pKi or 1114
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52
pEC50 / Nheavy. Pearson’s R and Spearman’s ρ are shown. d. Scatter plot of ΔpKi or pEC50 1115
(log M) versus ΔLipE (analog − parent), where LipE = pKi or pEC50 − cLogP. Pearson’s R and 1116
Spearman’s ρ are shown. e. Binding free -energy change versus heavy -atom change for 1117
improved analogs. The y -axis shows ΔΔG (kcal/mol), computed from the affinity metric 1118
(Ki/IC50/EC50) as ΔG = RT ln(K) (298 K) and ΔΔG = ΔG_analog − ΔG_parent; negative ΔΔG 1119
indicates improved binding. The x -axis is ΔN (a nalog − parent; heavy -atom count difference). 1120
Points with rounded fold ≥10 are highlighted in red; rounded 3 –9 are shown in blue. f. 1121
Affinity/potency gains versus changes in lipophilic efficiency. Scatter plot of ΔpKi or pEC50 1122
(analog − parent) against ΔLipE (analog − parent) for all analog–parent pairs with ≥3× rounded 1123
potency/affinity improvement; ≥10× improvements are highlighted in red. 1124
1125
1126
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53
Extended Data Fig. 5 1127
1128
Extended Data Fig. 5 Structural variability caused by single-atom modifications 1129
complicates prediction of affinity/potency changes. a. Overlay of the X-ray crystal 1130
structures for 12 ligand-bound complexes from the ‘3453 series showing that single-atom 1131
modifications can result in substantial ligand movement or induce multiple binding poses, 1132
complicating structure-based analysis and predictions. b. Example of a binding pose shift: 1133
compounds ‘9249, ‘3176 and ‘3194 adopt markedly different pose compared to the ‘3454 1134
parent. Two conformations were identified for ‘3194. 1135
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54
Extended Data Fig. 6 1136
1137
Extended Data Fig. 6 Single-atom substitutions frequently worsen PK properties a.Fraction of 1138
single-atom substitutions with ≥3-fold decreases in PK properties. Error bars represent 95% confidence 1139
intervals, estimated from 10,000 iterations of bootstrap resampling.b. Counts of analogs with measured 1140
PK parameters and >3-fold or >10-fold losses. 1141
1142
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55
1143
Extended Data Fig. 7 1144
1145
Extended Data Fig. 7 Pharmacokinetic profiles of 29 individual analogs with >10-fold 1146
affinity/potency improvement. Fold-changes in in vitro pharmacokinetic properties, 1147
including microsomal stability, plasma fraction unbound, PAMPA permeability, plasma 1148
stability, solubility, and hERG inhibition, for 29 analogs showing >10-fold affinity/potency 1149
enhancements. 1150
1151
1152
1153
1154
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56
Extended Data Fig. 8 1155
1156
Extended Data Fig. 8 Distribution and cumulative effects of atom modifications on 1157
molecular properties. a. Density plots showing the distribution of log ₁₀ fold improvement for 1158
different properties after one -atom modifications (Chlorine, Fluorine, Hydroxyl, Methyl, and 1159
Nitrogen). Each row represents a property (e.g., Affinity/potency, Microsome stability, Solubility), 1160
and each column corresponds to a specifi c modification. Vertical dashed lines indicate 0 (no 1161
change) and ±0.5 log ₁₀ fold change (approximately 3 -fold improvement or reduction). b. 1162
Cumulative distribution plots of the same data as in (a), showing the proportion of analogs 1163
achieving various levels of improvement or reduction. This visualization allows for comparison 1164
of the shift in property distributions across different modifications. 1165
1166
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Extended Data Table1 FEP+ predictions and experimental activity readouts for analogs. 1167
Name modification protein affinity/potency-
fold
Affinity/potenc
y_uM
exp_G Parent exp
G
parent
name
exp_G FEP_G fep_unc fep_G fep_G
err_abs
fep_G
err_abs
Z8771520648 C MOR 13.39 0.00 -12.50 -10.96 Z4407498716 -1.54 -11.85 0.41 -0.89 0.65 0.65
Z8771520652 C MOR 0.12 0.08 -9.69 -10.96 Z4407498716 1.27 -8.95 0.59 2.01 0.74 0.74
Z8771520655 C MOR 0.53 0.02 -10.59 -10.96 Z4407498716 0.37 -10.98 0.40 -0.02 0.39 0.39
Z8771520657 C MOR 0.13 0.07 -9.76 -10.96 Z4407498716 1.20 -11.81 0.41 -0.85 2.05 2.04
Z8771520658 C MOR 0.48 0.02 -10.53 -10.96 Z4407498716 0.44 -11.14 0.41 -0.18 0.61 0.61
Z8771520665 O MOR 0.07 0.14 -9.36 -10.96 Z4407498716 1.60 -12.00 0.50 -1.04 2.64 2.64
Z8771520670 O MOR 1.24 0.01 -11.09 -10.96 Z4407498716 -0.13 -11.19 0.50 -0.23 0.10 0.10
Z8771520680 F MOR 0.73 0.01 -10.77 -10.96 Z4407498716 0.19 -9.96 0.40 1.00 0.81 0.81
Z8771520687 F MOR 0.67 0.01 -10.72 -10.96 Z4407498716 0.24 -10.77 0.41 0.19 0.05 0.05
Z8771520688 F MOR 0.26 0.04 -10.17 -10.96 Z4407498716 0.80 -11.38 0.41 -0.42 1.21 1.21
Z8774357908 O MOR 0.77 0.01 -10.81 -10.96 Z4407498716 0.16 -9.40 0.45 1.56 1.41 1.41
Z8793812850 C MOR 0.93 0.01 -10.92 -10.96 Z4407498716 0.04 -8.62 0.75 2.34 2.30 2.30
Z8793812851 C MOR 0.82 0.01 -10.84 -10.96 Z4407498716 0.12 -10.85 0.54 0.11 0.01 0.00
Z8798881729 C MOR 10.80 0.00 -12.37 -10.96 Z4407498716 -1.41 -11.39 0.75 -0.43 0.98 0.98
Z8812737822 Cl MOR 0.04 0.26 -8.98 -10.96 Z4407498716 1.98 -10.86 0.41 0.10 1.88 1.88
Z8812742460 Cl MOR 1.67 0.01 -11.27 -10.96 Z4407498716 -0.30 -11.89 0.54 -0.93 0.62 0.62
Z1800559918 Cl alpha2 0.00 6.84 -7.05 -12.09 Z2750653629 5.04 -13.03 1.14 -0.94 5.98 5.98
Z2750652484 N alpha2 0.01 0.16 -9.28 -12.09 Z2750653629 2.81 -8.88 1.52 3.21 0.40 0.40
Z4767467064 F alpha2 18.39 0.00 -13.81 -12.09 Z2750653629 -1.73 -12.37 1.28 -0.28 1.44 1.44
Z4767467067 N alpha2 0.01 0.09 -9.59 -12.09 Z2750653629 2.50 -11.33 1.98 0.76 1.74 1.73
Z4767467070 N alpha2 0.01 0.14 -9.36 -12.09 Z2750653629 2.73 -11.26 1.37 0.83 1.90 1.90
Z4767467072 N alpha2 0.01 0.10 -9.53 -12.09 Z2750653629 2.56 -12.64 2.78 -0.55 3.11 3.11
Z4954471231 C alpha2 5.48 0.00 -13.10 -12.09 Z2750653629 -1.01 -12.58 1.92 -0.49 0.52 0.52
Z5295862251 N alpha2 0.09 0.01 -10.69 -12.09 Z2750653629 1.40 -13.12 1.85 -1.03 2.43 2.43
Z5874039302 N alpha2 0.01 0.14 -9.34 -12.09 Z2750653629 2.75 -11.09 2.73 1.00 1.75 1.75
Z8598084898 N alpha2 0.01 0.16 -9.29 -12.09 Z2750653629 2.80 -12.08 2.00 0.01 2.79 2.79
Z8598084899 C alpha2 0.01 0.20 -9.13 -12.09 Z2750653629 2.96 -12.34 2.13 -0.25 3.21 3.21
Z8598084900 C alpha2 0.36 0.00 -11.49 -12.09 Z2750653629 0.60 -12.09 1.70 0.00 0.60 0.60
Z8598084901 C alpha2 9.72 0.00 -13.44 -12.09 Z2750653629 -1.35 -11.71 2.51 0.38 1.73 1.73
Z8598084905 C alpha2 52.17 0.00 -14.43 -12.09 Z2750653629 -2.34 -12.60 1.46 -0.51 1.83 1.83
Z8598084906 C alpha2 10.68 0.00 -13.49 -12.09 Z2750653629 -1.40 -12.37 1.86 -0.28 1.12 1.12
Z8598084908 F alpha2 0.16 0.01 -11.02 -12.09 Z2750653629 1.07 -12.62 1.57 -0.53 1.60 1.60
Z8598084909 F alpha2 2.47 0.00 -12.63 -12.09 Z2750653629 -0.54 -13.60 1.86 -1.51 0.97 0.97
Z8598084911 F alpha2 1.70 0.00 -12.40 -12.09 Z2750653629 -0.31 -11.76 1.85 0.33 0.64 0.64
Z8598084912 Cl alpha2 0.10 0.01 -10.71 -12.09 Z2750653629 1.37 -12.93 1.52 -0.84 2.21 2.21
Z8598084913 Cl alpha2 1.56 0.00 -12.35 -12.09 Z2750653629 -0.26 -12.77 2.04 -0.67 0.41 0.41
Z8598084914 Cl alpha2 0.08 0.02 -10.61 -12.09 Z2750653629 1.48 -13.39 1.82 -1.30 2.77 2.77
Z8598084918 Cl alpha2 2.38 0.00 -12.60 -12.09 Z2750653629 -0.51 -11.61 1.86 0.48 0.99 0.99
Z8598084922 O alpha2 0.67 0.00 -11.85 -12.09 Z2750653629 0.24 -13.02 1.90 -0.93 1.17 1.17
Z8598084925 O alpha2 0.18 0.01 -11.07 -12.09 Z2750653629 1.02 -8.13 1.45 3.96 2.95 2.95
Z8701729806 O alpha2 4.80 0.00 -13.02 -12.09 Z2750653629 -0.93 -12.59 2.37 -0.50 0.43 0.43
Z8731865364 O alpha2 0.17 0.01 -11.06 -12.09 Z2750653629 1.03 -12.14 2.06 -0.05 1.09 1.09
Z8747421921 O alpha2 1.51 0.00 -12.33 -12.09 Z2750653629 -0.24 -12.16 2.30 -0.07 0.17 0.18
Z8755839162 O alpha2 2.82 0.00 -12.70 -12.09 Z2750653629 -0.61 -12.60 2.42 -0.51 0.10 0.10
Z8825803704 C alpha2 0.58 0.00 -11.77 -12.09 Z2750653629 0.32 -11.65 2.44 0.44 0.11 0.11
Z8825803705 Cl alpha2 0.00 1.94 -7.79 -12.09 Z2750653629 4.30 -8.73 1.28 3.36 0.93 0.93
Z3034773353 C alpha2 0.31 72.29 -5.65 -6.35 Z3034773248 0.70 -5.49 1.33 0.86 0.16 0.16
Z3034773362 C alpha2 0.00 8270.00 -2.84 -6.35 Z3034773248 3.51 -5.73 1.31 0.62 2.89 2.89
Z3034773379 Cl alpha2 0.98 22.58 -6.34 -6.35 Z3034773248 0.01 -6.08 1.51 0.27 0.26 0.26
Z3034773381 Cl alpha2 0.49 45.57 -5.92 -6.35 Z3034773248 0.43 -6.25 1.40 0.10 0.33 0.33
Z3034773663 N alpha2 6.95 3.18 -7.50 -6.35 Z3034773248 -1.15 -5.82 1.77 0.53 1.68 1.68
Z3305295413 F alpha2 0.71 31.07 -6.15 -6.35 Z3034773248 0.20 -6.26 1.21 0.09 0.11 0.11
Z8727395864 O alpha2 2.38 9.29 -6.86 -6.35 Z3034773248 -0.51 -6.03 2.42 0.32 0.83 0.83
Z8836317802 O alpha2 0.35 63.92 -5.72 -6.35 Z3034773248 0.63 -5.77 1.88 0.59 0.04 0.04
Z8904328913 F alpha2 1.69 13.12 -6.66 -6.35 Z3034773248 -0.31 -6.07 1.42 0.28 0.59 0.59
Z8904332023 O alpha2 1.55 14.31 -6.61 -6.35 Z3034773248 -0.26 -4.34 1.69 2.02 2.27 2.27
Z8908003437 O alpha2 8.45 2.62 -7.61 -6.35 Z3034773248 -1.26 -6.38 1.72 -0.02 1.24 1.24
Z3034773358 C alpha2 33.63 0.66 -8.43 -6.35 Z3034773248 -2.08 -7.08 1.55 -0.73 1.36 1.36
Z6071720064 C alpha2 7.06 0.00 -12.18 -11.02 Z4376630014 -1.16 -11.03 1.21 -0.00 1.15 1.15
Z6071720076 Cl alpha2 0.15 0.06 -9.88 -11.02 Z4376630014 1.14 -9.98 1.15 1.04 0.10 0.10
Z6071720077 F alpha2 0.07 0.12 -9.45 -11.02 Z4376630014 1.58 -11.48 0.90 -0.46 2.03 2.03
Z6071720079 F alpha2 2.70 0.00 -11.61 -11.02 Z4376630014 -0.59 -11.51 1.33 -0.49 0.10 0.10
Z6071720081 Cl alpha2 0.02 0.38 -8.75 -11.02 Z4376630014 2.27 -11.62 0.89 -0.59 2.87 2.87
Z8081978921 Cl alpha2 0.00 28.99 -6.19 -11.02 Z4376630014 4.83 -12.87 0.94 -1.85 6.68 6.68
Z8598084957 C alpha2 0.04 0.21 -9.11 -11.02 Z4376630014 1.91 -10.84 1.25 0.18 1.73 1.73
Z8598084962 Cl alpha2 0.00 17.51 -6.49 -11.02 Z4376630014 4.53 -13.05 1.15 -2.03 6.57 6.56
Z3034773369 F alpha2 2.28 5.85 -7.14 -6.65 Z8727395870 -0.49 -6.18 1.23 0.47 0.96 0.96
Z3034773371 F alpha2 0.78 17.08 -6.50 -6.65 Z8727395870 0.15 -6.41 1.28 0.24 0.09 0.09
Z8727394867 Cl alpha2 1.09 12.23 -6.70 -6.65 Z8727395870 -0.05 -5.95 1.27 0.70 0.75 0.75
(which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission.
The copyright holder for this preprintthis version posted May 13, 2026. ; https://doi.org/10.64898/2026.05.10.724162doi: bioRxiv preprint
58
Name modification protein affinity/potency-
fold
Affinity/potenc
y_uM
exp_G Parent exp
G
parent
name
exp_G FEP_G fep_unc fep_G fep_G
err_abs
fep_G
err_abs
Z8731642722 F alpha2 1.32 10.10 -6.81 -6.65 Z8727395870 -0.16 -5.51 1.64 1.14 1.30 1.30
Z8731733054 C alpha2 1.81 7.36 -7.00 -6.65 Z8727395870 -0.35 -5.67 1.39 0.98 1.33 1.33
Z8735760397 C alpha2 0.95 13.97 -6.62 -6.65 Z8727395870 0.03 -6.27 1.50 0.38 0.35 0.35
Z8836317766 C alpha2 0.90 14.78 -6.59 -6.65 Z8727395870 0.06 -6.71 1.36 -0.06 0.12 0.12
Z8836317772 O alpha2 0.40 33.53 -6.10 -6.65 Z8727395870 0.55 -6.41 2.40 0.24 0.31 0.31
Z8904328914 C alpha2 0.66 20.12 -6.41 -6.65 Z8727395870 0.24 -6.06 1.46 0.59 0.34 0.35
Z8904332000 Cl alpha2 3.68 3.62 -7.42 -6.65 Z8727395870 -0.77 -6.81 1.57 -0.16 0.61 0.61
Z8904332024 O alpha2 0.00 24700.00 -2.19 -6.65 Z8727395870 4.46 -6.77 2.74 -0.12 4.58 4.57
Z8904332025 O alpha2 0.85 15.66 -6.55 -6.65 Z8727395870 0.10 -7.01 2.66 -0.36 0.45 0.45
Z8908003436 O alpha2 0.65 20.46 -6.40 -6.65 Z8727395870 0.25 -6.07 2.55 0.58 0.33 0.33
Z9089437746 Cl alpha2 0.72 18.62 -6.45 -6.65 Z8727395870 0.20 -7.08 1.27 -0.43 0.63 0.63
Z2610512538 Cl ampc 1.37 17.60 -6.49 -6.30 Z2610488449 -0.19 -6.31 0.43 0.18 0.18 0.37
Z2610513554 F ampc 0.95 25.46 -6.27 -6.30 Z2610488449 0.03 -7.03 0.52 -0.54 0.76 0.57
Z2610513975 F ampc 0.74 32.65 -6.12 -6.30 Z2610488449 0.18 -6.50 0.50 -0.01 0.38 0.19
Z8584748090 F ampc 1.41 17.13 -6.50 -6.30 Z2610488449 -0.20 -6.49 0.41 0.00 0.01 0.20
Z8584748099 N ampc 8.38 2.89 -7.56 -6.30 Z2610488449 -1.26 -6.61 0.41 -0.12 0.95 1.14
Z8584748244 F ampc 1.68 14.42 -6.60 -6.30 Z2610488449 -0.31 -6.39 0.41 0.10 0.21 0.41
Z8584748322 Cl ampc 1.22 19.77 -6.42 -6.30 Z2610488449 -0.12 -6.99 0.43 -0.50 0.57 0.38
Z8584748346 Cl ampc 2.72 8.88 -6.89 -6.30 Z2610488449 -0.59 -6.83 0.41 -0.34 0.06 0.25
Z1355328651 Cl cb2 36.17 0.06 -9.81 -7.69 Z52076138 -2.13 -9.45 0.60 -1.85 0.36 0.27
Z1511587581 C cb2 2.66 0.87 -8.26 -7.69 Z52076138 -0.58 -8.29 0.52 -0.69 0.03 0.11
Z1745610848 C cb2 21.10 0.11 -9.49 -7.69 Z52076138 -1.81 -7.94 0.41 -0.34 1.55 1.46
Z1820897159 F cb2 9.74 0.24 -9.03 -7.69 Z52076138 -1.35 -7.91 0.41 -0.31 1.12 1.04
Z185279188 C cb2 9.83 0.24 -9.04 -7.69 Z52076138 -1.35 -8.22 0.49 -0.62 0.82 0.73
Z6755334561 Cl cb2 17.44 0.13 -9.38 -7.69 Z52076138 -1.69 -8.91 0.49 -1.31 0.47 0.38
Z8383080706 C cb2 19.26 0.12 -9.44 -7.69 Z52076138 -1.75 -9.50 0.45 -1.90 0.06 0.15
Z8701681958 C cb2 0.04 11.24 -6.75 -8.72 Z6969215903 1.97 -6.62 0.91 1.33 0.13 0.65
Z8701681960 C cb2 0.07 5.53 -7.17 -8.72 Z6969215903 1.55 -6.83 0.84 1.12 0.34 0.44
Z8701681963 C cb2 0.49 0.83 -8.30 -8.72 Z6969215903 0.43 -8.15 0.43 -0.20 0.15 0.63
Z8701681979 F cb2 0.06 7.23 -7.01 -8.72 Z6969215903 1.71 -8.18 0.83 -0.23 1.17 1.95
Z8701681983 Cl cb2 1.09 0.37 -8.77 -8.72 Z6969215903 -0.05 -8.29 0.43 -0.34 0.48 0.30
Z8701681984 Cl cb2 0.11 3.74 -7.40 -8.72 Z6969215903 1.32 -7.51 0.91 0.44 0.11 0.89
Z8701681647 N cb2 0.14 0.90 -8.24 -9.42 Z8184698918 1.18 -10.25 1.15 -0.84 2.01 2.02
Z8701681649 C cb2 1.80 0.07 -9.77 -9.42 Z8184698918 -0.35 -7.41 0.47 2.00 2.36 2.35
Z8701681656 C cb2 29.61 0.00 -11.43 -9.42 Z8184698918 -2.01 -11.20 0.98 -1.79 0.23 0.22
Z8701681673 O cb2 0.20 0.62 -8.46 -9.42 Z8184698918 0.96 -4.54 1.25 4.87 3.92 3.91
Z8701681677 F cb2 1.57 0.08 -9.69 -9.42 Z8184698918 -0.27 -8.12 0.47 1.29 1.57 1.56
Z8701681695 Cl cb2 58.46 0.00 -11.83 -9.42 Z8184698918 -2.41 -11.01 1.25 -1.60 0.82 0.81
Z8701681697 Cl cb2 1.40 0.09 -9.62 -9.42 Z8184698918 -0.20 -7.71 0.46 1.70 1.91 1.90
Z9187344338 N mac1 0.09 7.96 -6.96 -8.40 Z1039063794 1.44 -7.10 0.43 1.30 0.14 0.14
Z9187344350 N mac1 0.00 935.70 -4.13 -8.40 Z1039063794 4.26 -5.56 0.60 2.83 1.43 1.43
Z9187344358 N mac1 0.46 1.54 -7.93 -8.40 Z1039063794 0.47 -8.99 0.38 -0.59 1.06 1.06
Z1359487111 C mac1 0.00 745.80 -4.27 -8.40 Z1039063794 4.13 -6.41 0.43 1.99 2.14 2.14
Z8756044544 C mac1 0.10 6.94 -7.04 -8.40 Z1039063794 1.36 -7.82 0.48 0.57 0.78 0.78
Z8756044539 C mac1 0.16 4.30 -7.32 -8.40 Z1039063794 1.08 -8.69 0.44 -0.29 1.37 1.37
Z237580338 N mac1 0.06 11.59 -6.73 -8.40 Z1039063794 1.66 -8.24 0.76 0.15 1.51 1.51
Z9043825450 O mac1 0.04 19.29 -6.43 -8.40 Z1039063794 1.96 -3.50 0.39 4.90 2.93 2.93
Z4223060659 N mac1 0.04 18.18 -6.47 -8.40 Z1039063794 1.93 -9.73 0.34 -1.33 3.26 3.26
Z8207543137 Cl mac1 0.00 220.00 -4.99 -8.40 Z1039063794 3.41 -6.79 0.46 1.60 1.80 1.80
Z8207599372 Cl mac1 0.06 12.22 -6.70 -8.40 Z1039063794 1.69 -9.59 0.45 -1.19 2.88 2.88
Z8207316857 Cl mac1 0.05 13.37 -6.65 -8.40 Z1039063794 1.75 -8.70 0.36 -0.30 2.05 2.05
Z8598075280 N mac1 0.16 15.18 -6.57 -7.72 Z5398393122 1.14 -7.94 0.52 -0.23 1.37 1.37
Z7691912366 C mac1 0.77 3.23 -7.49 -7.72 Z5398393122 0.23 -7.31 0.62 0.41 0.18 0.18
Z8598075283 C mac1 0.47 5.29 -7.20 -7.72 Z5398393122 0.52 -8.78 0.56 -1.06 1.58 1.58
Z8598075292 Cl mac1 2.24 1.12 -8.12 -7.72 Z5398393122 -0.40 -7.38 0.56 0.34 0.74 0.74
Z8598075284 C mac1 0.40 6.25 -7.10 -7.72 Z5398393122 0.62 -7.65 0.62 0.07 0.55 0.55
Z8928826043 C mac1 0.36 27.75 -6.22 -6.89 Z7534253453 0.68 -6.49 0.48 0.40 0.28 0.28
Z8727396582 C mac1 0.70 14.15 -6.61 -6.89 Z7534253453 0.28 -7.02 0.41 -0.13 0.41 0.41
Z8727396638 C mac1 4.13 2.40 -7.67 -6.89 Z7534253453 -0.77 -6.54 0.61 0.35 1.12 1.12
Z8929429249 C mac1 0.19 52.56 -5.84 -6.89 Z7534253453 1.05 -8.03 0.50 -1.14 2.19 2.19
Z8990523176 C mac1 0.46 21.65 -6.36 -6.89 Z7534253453 0.53 -7.28 0.55 -0.39 0.92 0.92
Z8990523178 O mac1 39.68 0.25 -9.01 -6.89 Z7534253453 -2.11 -7.14 0.65 -0.25 1.86 1.86
Z8990919048 O mac1 0.32 30.69 -6.16 -6.89 Z7534253453 0.74 -7.45 0.64 -0.56 1.30 1.30
Z8598075302 O mac1 0.70 14.27 -6.61 -6.89 Z7534253453 0.28 -6.04 0.60 0.85 0.57 0.57
Z8990523184 O mac1 19.84 0.50 -8.60 -6.89 Z7534253453 -1.70 -8.49 0.55 -1.60 0.10 0.10
Z7692056404 F mac1 1.79 5.53 -7.17 -6.89 Z7534253453 -0.28 -7.45 0.42 -0.56 0.28 0.28
Z8928826033 F mac1 2.82 3.51 -7.44 -6.89 Z7534253453 -0.55 -8.56 0.49 -1.67 1.12 1.12
Z8990523169 N mac1 0.99 10.04 -6.82 -6.89 Z7534253453 0.07 -7.01 0.61 -0.12 0.19 0.19
Z8990527720 F mac1 0.94 10.51 -6.79 -6.89 Z7534253453 0.10 -6.49 0.47 0.40 0.30 0.30
Z7692046343 Cl mac1 4.75 2.09 -7.75 -6.89 Z7534253453 -0.86 -7.62 0.56 -0.73 0.13 0.13
Z8768700676 Cl mac1 0.46 21.48 -6.37 -6.89 Z7534253453 0.52 -5.15 0.79 1.74 1.22 1.22
Z8990523194 Cl mac1 6.04 1.64 -7.89 -6.89 Z7534253453 -1.00 -7.27 0.69 -0.38 0.62 0.62
Z8727401304 Cl mac1 5.17 1.92 -7.80 -6.89 Z7534253453 -0.91 -8.74 0.52 -1.85 0.94 0.94
Z7692056627 N mac1 1.14 8.67 -6.91 -6.89 Z7534253453 -0.01 -6.90 0.72 -0.01 0.01 0.01
Z8929428675 N mac1 2.22 4.46 -7.30 -6.89 Z7534253453 -0.41 -7.99 0.52 -1.10 0.69 0.69
(which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission.
The copyright holder for this preprintthis version posted May 13, 2026. ; https://doi.org/10.64898/2026.05.10.724162doi: bioRxiv preprint
59
Name modification protein affinity/potency-
fold
Affinity/potenc
y_uM
exp_G Parent exp
G
parent
name
exp_G FEP_G fep_unc fep_G fep_G
err_abs
fep_G
err_abs
Z7691912473 N mac1 0.30 33.10 -6.11 -6.89 Z7534253453 0.78 -6.03 0.50 0.86 0.08 0.08
Z7140729870 C mac1 1.30 7.61 -6.98 -6.89 Z7534253453 -0.09 -6.12 0.41 0.77 0.86 0.86
Z3033185506 N sert 0.07 16.52 -6.52 -8.13 Z2009978218 1.61 -7.24 2.99 0.89 0.72 0.72
Z3991412496 F sert 0.93 1.18 -8.09 -8.13 Z2009978218 0.04 -8.86 2.18 -0.73 0.77 0.78
Z4224292450 O sert 0.20 5.53 -7.17 -8.13 Z2009978218 0.96 -5.66 2.48 2.47 1.51 1.51
Z4767467074 Cl sert 9.48 0.12 -9.46 -8.13 Z2009978218 -1.33 -9.28 2.39 -1.16 0.18 0.18
Z4767467093 C sert 1.22 0.89 -8.25 -8.13 Z2009978218 -0.12 -8.71 2.60 -0.59 0.46 0.47
Z4955958409 N sert 0.12 9.07 -6.88 -8.13 Z2009978218 1.25 -4.95 2.39 3.17 1.92 1.92
Z4957966902 N sert 0.02 60.37 -5.76 -8.13 Z2009978218 2.38 -6.02 2.68 2.11 0.26 0.27
Z5022589075 C sert 4.16 0.26 -8.98 -8.13 Z2009978218 -0.84 -8.81 2.46 -0.68 0.17 0.16
Z5425693717 Cl sert 0.44 2.49 -7.64 -8.13 Z2009978218 0.49 -7.60 2.42 0.53 0.04 0.04
Z5766294474 F sert 1.04 1.05 -8.16 -8.13 Z2009978218 -0.02 -8.04 2.44 0.08 0.11 0.11
Z8646465742 Cl sert 5.05 0.22 -9.09 -8.13 Z2009978218 -0.96 -9.41 2.57 -1.29 0.32 0.33
Z8827560439 C sert 2.92 0.37 -8.77 -8.13 Z2009978218 -0.63 -9.59 2.68 -1.47 0.83 0.83
Z8827560440 C sert 0.75 1.46 -7.96 -8.13 Z2009978218 0.17 -8.73 2.30 -0.60 0.76 0.77
Z8827560451 O sert 0.14 7.56 -6.99 -8.13 Z2009978218 1.15 -5.28 2.99 2.84 1.70 1.70
Z2573292509 C sert 0.35 0.24 -9.04 -9.67 Z2573292480 0.63 -12.05 1.66 -2.38 3.01 3.01
Z3498174416 N sert 0.03 2.64 -7.61 -9.67 Z2573292480 2.06 -7.12 1.18 2.56 0.49 0.50
Z4067645979 N sert 0.03 2.98 -7.54 -9.67 Z2573292480 2.13 -8.58 1.19 1.09 1.04 1.04
Z4224285938 N sert 0.14 0.58 -8.50 -9.67 Z2573292480 1.16 -9.97 1.47 -0.30 1.47 1.46
Z4765367699 C sert 0.69 0.12 -9.45 -9.67 Z2573292480 0.22 -10.84 1.59 -1.17 1.39 1.38
Z5458682006 C sert 3.17 0.03 -10.35 -9.67 Z2573292480 -0.68 -9.29 1.18 0.39 1.06 1.07
Z8055284773 N sert 0.50 0.16 -9.25 -9.67 Z2573292480 0.41 -10.21 1.26 -0.54 0.96 0.95
Z8501235596 C sert 1.27 0.06 -9.81 -9.67 Z2573292480 -0.14 -9.79 1.91 -0.11 0.02 0.03
Z8647047828 C sert 1.54 0.05 -9.92 -9.67 Z2573292480 -0.26 -7.84 1.13 1.83 2.09 2.09
Z8827560409 O sert 0.24 0.35 -8.81 -9.67 Z2573292480 0.85 -9.20 1.55 0.47 0.39 0.38
Z8827560428 Cl sert 1.56 0.05 -9.93 -9.67 Z2573292480 -0.26 -10.67 1.27 -0.99 0.74 0.73
Z3950610525 N sert 0.26 0.91 -8.24 -9.04 Z2573292509 0.80 -9.77 1.42 -0.70 1.53 1.49
Z4067646017 N sert 0.02 10.81 -6.77 -9.04 Z2573292509 2.26 -8.04 1.61 1.03 1.27 1.23
Z4765367717 C sert 2.28 0.10 -9.53 -9.04 Z2573292509 -0.49 -10.88 1.45 -1.81 1.35 1.32
Z5106507813 N sert 0.01 16.52 -6.52 -9.04 Z2573292509 2.52 -7.13 1.56 1.94 0.61 0.57
Z5458682044 C sert 16.14 0.01 -10.69 -9.04 Z2573292509 -1.65 -9.21 1.48 -0.13 1.47 1.51
Z8647047832 C sert 1.79 0.13 -9.39 -9.04 Z2573292509 -0.35 -7.97 1.44 1.11 1.42 1.46
Z8781161134 N sert 0.07 3.57 -7.43 -9.04 Z2573292509 1.61 -7.91 1.74 1.17 0.48 0.44
Z8827560496 O sert 0.63 0.37 -8.77 -9.04 Z2573292509 0.27 -9.10 1.55 -0.02 0.33 0.29
Z8827560515 Cl sert 2.76 0.09 -9.64 -9.04 Z2573292509 -0.60 -9.58 1.85 -0.50 0.06 0.10
Z6971277405 N sert 0.55 24.20 -6.30 -6.65 Z6971277399 0.35 -5.25 1.28 1.23 1.04 0.88
Z6971278430 C sert 24.81 0.54 -8.55 -6.65 Z6971277399 -1.90 -6.44 1.28 0.03 2.11 1.94
Z6971278455 C sert 4.08 3.28 -7.48 -6.65 Z6971277399 -0.83 -6.21 1.35 0.27 1.27 1.10
Z6971278464 C sert 3.99 3.36 -7.47 -6.65 Z6971277399 -0.82 -6.23 1.36 0.24 1.23 1.06
Z6971278779 F sert 0.42 31.49 -6.14 -6.65 Z6971277399 0.51 -6.54 1.43 -0.06 0.39 0.56
Z6971279383 Cl sert 5.09 2.62 -7.61 -6.65 Z6971277399 -0.96 -6.97 1.28 -0.49 0.64 0.47
Z6971279394 Cl sert 19.99 0.67 -8.42 -6.65 Z6971277399 -1.77 -7.37 1.29 -0.89 1.05 0.89
Z6971279399 Cl sert 3.57 3.74 -7.40 -6.65 Z6971277399 -0.75 -7.00 1.25 -0.52 0.40 0.23
Z6971279682 Br sert 11.93 1.12 -8.12 -6.65 Z6971277399 -1.47 -7.71 1.44 -1.23 0.40 0.24
Z6971279689 Br sert 7.58 1.76 -7.85 -6.65 Z6971277399 -1.20 -7.15 1.59 -0.68 0.69 0.52
Z6971279702 Br sert 16.09 0.83 -8.29 -6.65 Z6971277399 -1.65 -7.25 1.59 -0.77 1.04 0.88
Z8172508405 O sert 4.18 3.20 -7.50 -6.65 Z6971277399 -0.85 -6.87 1.48 -0.39 0.63 0.46
Z3034773248 Cl sert 9.24 4.62 -7.28 -5.96 Z8727393896 -1.32 -6.68 0.99 -1.00 0.60 0.32
Z8024305237 Br sert 9.88 4.32 -7.32 -5.96 Z8727393896 -1.36 -6.48 1.17 -0.79 0.84 0.56
Z8727394028 O sert 5.45 7.84 -6.96 -5.96 Z8727393896 -1.00 -6.79 1.32 -1.11 0.17 0.11
Z8727394030 Br sert 7.56 5.65 -7.16 -5.96 Z8727393896 -1.20 -6.76 0.96 -1.08 0.40 0.12
Z8727395866 F sert 2.44 17.51 -6.49 -5.96 Z8727393896 -0.53 -6.26 1.02 -0.57 0.23 0.05
Z8727395870 Cl sert 5.79 7.37 -7.00 -5.96 Z8727393896 -1.04 -6.20 1.00 -0.52 0.80 0.52
Z8727396158 Br sert 10.50 4.07 -7.35 -5.96 Z8727393896 -1.39 -6.74 1.07 -1.05 0.62 0.34
Z8731642686 C sert 23.33 1.83 -7.83 -5.96 Z8727393896 -1.87 -6.64 1.00 -0.95 1.19 0.91
Z8735711409 O sert 1.04 40.96 -5.99 -5.96 Z8727393896 -0.02 -5.19 1.42 0.49 0.79 0.52
Z8735711431 Cl sert 6.03 7.08 -7.03 -5.96 Z8727393896 -1.06 -6.20 0.98 -0.52 0.82 0.54
Z3034773283 C sert 20.47 0.09 -9.61 -7.83 Z8731642686 -1.79 -9.35 1.32 -1.51 0.26 0.28
Z3034773290 C sert 1.75 1.05 -8.16 -7.83 Z8731642686 -0.33 -8.86 0.97 -1.02 0.70 0.69
Z3034773359 Cl sert 4.14 0.44 -8.67 -7.83 Z8731642686 -0.84 -8.49 1.22 -0.65 0.17 0.19
Z3034773386 Br sert 27.20 0.07 -9.78 -7.83 Z8731642686 -1.96 -9.45 1.29 -1.61 0.33 0.35
Z8727393902 Br sert 7.28 0.25 -9.00 -7.83 Z8731642686 -1.18 -8.75 1.23 -0.91 0.25 0.27
Z8741436112 F sert 6.98 0.26 -8.98 -7.83 Z8731642686 -1.15 -7.57 1.57 0.27 1.41 1.42
Z8836317766 Cl sert 5.87 0.31 -8.88 -7.83 Z8731642686 -1.05 -9.03 1.18 -1.18 0.15 0.13
Z8843617521 O sert 0.17 10.72 -6.78 -7.83 Z8731642686 1.05 -7.17 1.44 0.68 0.39 0.37
Z8843617522 O sert 0.39 4.71 -7.27 -7.83 Z8731642686 0.56 -8.15 1.60 -0.31 0.89 0.87
Z8843617525 O sert 0.53 3.46 -7.45 -7.83 Z8731642686 0.38 -9.65 1.36 -1.80 2.20 2.18
Z8890819769 F sert 0.35 5.27 -7.20 -7.83 Z8731642686 0.63 -7.55 1.50 0.29 0.35 0.33
Z8891248505 C sert 3.56 0.51 -8.58 -7.83 Z8731642686 -0.75 -7.44 1.14 0.41 1.14 1.16
Z8904328909 N sert 0.20 9.05 -6.88 -7.83 Z8731642686 0.95 -5.86 1.27 1.99 1.02 1.04
(which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission.
The copyright holder for this preprintthis version posted May 13, 2026. ; https://doi.org/10.64898/2026.05.10.724162doi: bioRxiv preprint
60
Name modification protein affinity/potency-
fold
Affinity/potenc
y_uM
exp_G Parent exp
G
parent
name
exp_G FEP_G fep_unc fep_G fep_G
err_abs
fep_G
err_abs
Z8904328910 F sert 2.19 0.84 -8.29 -7.83 Z8731642686 -0.46 -8.82 1.12 -0.97 0.53 0.51
Z8904332022 O sert 11.48 0.16 -9.27 -7.83 Z8731642686 -1.45 -8.01 1.60 -0.17 1.26 1.28
Z8915636241 C sert 4.56 0.40 -8.72 -7.83 Z8731642686 -0.90 -8.44 1.09 -0.59 0.29 0.31
Z3034773358 Cl sert 23.52 0.08 -9.70 -7.83 Z8731642686 -1.87 -9.38 1.27 -1.54 0.32 0.33
a, ΔGexp (kcal mol⁻¹): Experimental free energy calculated from assay-derived K (in M) as ΔGexp = 1168
RT ln K, with R = 1.987 × 10⁻³ kcal mol⁻¹ K⁻¹ and T = 298.15 K. 1169
b, ΔGexp,parent (kcal mol⁻¹): ΔGexp of the corresponding parent compound for the same target. 1170
c, ΔΔGexp (kcal mol⁻¹): Relative experimental free energy versus parent, ΔΔGexp = ΔGexp,analog − 1171
ΔGexp,parent. 1172
d, ΔGFEP (kcal mol⁻¹): Absolute binding free energy predicted by FEP+. 1173
e, σFEP (kcal mol⁻¹): Uncertainty reported by the FEP+ workflow for ΔGFEP. 1174
f, ΔΔGFEP (kcal mol⁻¹): Relative FEP+ free energy versus parent, ΔΔGFEP = ΔGFEP,analog − 1175
ΔGFEP,parent. 1176
g, |ΔGFEP − ΔGexp| (kcal mol⁻¹): Absolute error in ΔG. 1177
h, |ΔΔGFEP − ΔΔGexp| (kcal mol⁻¹): Absolute error in ΔΔG.Positive ΔΔG\Delta\Delta GΔΔG 1178
indicates decreased potency/affinity relative to the parent; negative ΔΔG\Delta\Delta GΔΔG indicates 1179
increased potency/affinity. Blank entries indicate values not available for the corresponding metric. 1180
Full chemical structures (including SMILES) for all parent compounds and analogs are provided in 1181
Supplementary Table 1. 1182
1183
1184
1185
1186
(which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission.
The copyright holder for this preprintthis version posted May 13, 2026. ; https://doi.org/10.64898/2026.05.10.724162doi: bioRxiv preprint
1187
1188
Extended Data Table 2. The effect of the analogs, relative to parents, on in vitro pharmacokinetics* 1189
parent target Total
compound
s
Microsome stability
T1/2, min fold change
(≥3x)
Plasma stability
T1/2, min fold
change (≥3x)
ppb % of unbound
compound fold
change (≥3x)
Solubility, µM
fold change
(≥3x)
hERG
approximate
IC50 µM fold
change (≥3x)
permeabilit
y cm/s fold
change
(≥3x)
Z4407498716 MOR 16 0 0 0 0 0 0
Z2750653629 alpha
2
31 7 2 4 5 5 0
Z3034773248 alpha
2
18 1 1 3 16 7 0
Z4376630014 alpha
2
10 5 1 7 2 1 0
Z8727395870 alpha
2
18 3 0 6 16 11 0
Z2610488449 ampc 10 1 0 2 0 2 4
Z52076138 cb2 7 0 1 0 1 0 0
Z6969215903 cb2 6 1 2 2 0 0 0
Z818469891
8
cb2 20 1 4 0 0 5 0
Z1039063794 mac1 12 4 0 1 0 3 0
Z5398393122 mac1 5 4 1 0 0 0 4
Z7534253453 mac1 22 1 10 0 0 4 9
Z2009978218 sert 14 5 4 3 0 2 0
Z2573292480 sert 11 3 0 3 0 0 0
Z2573292509 sert 9 3 2 4 6 3 0
Z6971277399 sert 15 1 3 1 0 1 0
Z8727393896 sert 14 0 3 0 0 0 0
Z8731642686 sert 19 0 3 3 0 1 0
* The MOR parent series and its 16 analogs are not included in this table because they were not profiled 1190
for in vitro PK properties. 1191
1192
(which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission.
The copyright holder for this preprintthis version posted May 13, 2026. ; https://doi.org/10.64898/2026.05.10.724162doi: bioRxiv preprint
1193
(which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission.
The copyright holder for this preprintthis version posted May 13, 2026. ; https://doi.org/10.64898/2026.05.10.724162doi: bioRxiv preprint
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