Mathematical Modeling of Crosslinked Polyacrylic Based Hydrogels: Physical Properties and Drug Delivery

Mathematical Modeling of Crosslinked Polyacrylic Based Hydrogels: Physical Properties and Drug Delivery | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Mathematical Modeling of Crosslinked Polyacrylic Based Hydrogels: Physical Properties and Drug Delivery Filippo Bisotti, Fabio Pizzetti, Giuseppe Storti, Filippo Rossi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-791682/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 4 You are reading this latest preprint version Abstract Recently, hydrogels have gained significant importance in different applications, such as tissue engineering and drug delivery. They are 3D-structures of hydrophilic polymers held together through physical or chemical cross-linking. Important is their ability to swell in presence of solvents, forming elastic gels able to mantain their original shape. Furthermore, this scaffolds slowly degrade in the physiological environment, leading the growing tissue to replace the former filled site. In this work, hydrogels have been synthetized using branched polyacrilic acid (Carbomer) cross-linked with an aliphatic polyetherdiamine (elastamine). In particular, we focused on the description of their equilibrium conditions in swollen state and the dynamic simulation of the swelling process. These hydrogels exhibited a peculiar swelling behaviour characterized by an overshoot of the volume increase before reaching the equilibrium. Notably, such behavior was found at different pH values. In this manuscript, the swelling behavior was studied by mathematical modelling. Moreover, the ability of these devices to release drugs was also examined through a literature model to understand the different operating transport mechanisms. Drug Delivery hydrogels drug delivery swelling dynamics mathematical modeling transport phenomena Figures Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Full Text Tables Table 1 - Formulations of all the samples studied in this work Sample name Water [mg] Carbomer [mg] Elastamine [mg] 2-2 10 140 1200 1-2 10 70 1200 1-3 10 70 1800 1-4 10 70 2400 Table 2 - Values of exponent n and drug release regime (diffusion controlled or swelling controlled) for different geometries according to Eq(14). Solid matrix geometry Diffusion-controlled Swelling-controlled Slab 0.50 1.00 Cylinder 0.45 0.89 Sphere 0.43 0.85 Table 3 – Parameter values for swelling equilibrium estimated from experiments pH = 3 samples Equilibrium swelling Q v [–] Polymer volume fraction ϕ [-] Mesh size ξ [nm] Molecular weight M c [g ∙ mol - 1 ] Crosslinking density ν [μmol ∙ cm -3 ] 2-2 7.20 0.139 13.66 11348 123.37 1-2 7.63 0.131 15.15 13416 104.35 1_3 7.92 0.126 16.15 14896 93.98 1_4 7.32 0.137 14.07 11910 117.50 pH = 7 samples Equilibrium swelling Q v [–] Polymer volume fraction ϕ [-] Mesh size ξ [nm] Molecular weight M c [g ∙ mol - 1 ] Crosslinking density ν [μmol ∙ cm -3 ] 2_2 13.69 0.073 42.43 70200 20.07 1_2 11.28 0.089 30.07 40750 34.36 1_3 10.29 0.098 25.63 31620 45.38 1_4 8.74 0.114 19.25 19800 70.72 pH = 10 samples Equilibrium swelling Q v [–] Polymer volume fraction ϕ [-] Mesh size ξ [nm] Molecular weight M c [g ∙ mol - 1 ] Crosslinking density ν [μmol ∙ cm -3 ] 2_2 8.74 0.114 19.25 19800 70.71 1_2 10.53 0.095 21.20 23155 60.46 1_3 7.96 0.126 16.31 15140 92.49 1_4 6.13 0.163 10.25 7110 196.95 Table 4 - Parameters in mesh size fitting pH = 3 pH = 7 pH = 10 α β R 2 α β R 2 α β R 2 -37.87 19.20 0.999 -74.93 31.51 0.994 -44.10 21.67 0.985 Table 5 – Numerical values of the fitting parameters at different pH medium for carbomer samples pH = 3 sample k 1 [h -1 ] k 3 [h -1 ] k 5 [h -1 ] k 6 [h -1 ] a 0 [mL] R 2 t peak [h] 2-2 0.71 0.10 0.50 1.25 5.81 0.953 5.00 1-2 1.03 0.23 0.52 0.81 7.45 0.985 3.20 1-3 0.45 0.15 0.50 1.51 6.00 0.904 8.00 1-4 0.27 0.20 1.50 1.91 8.00 0.850 7.00 pH = 7 sample k 1 [h -1 ] k 3 [h -1 ] k 5 [h -1 ] k 6 [h -1 ] a 0 [mL] R 2 t peak [h] 2-2 0.55 0.045 15.0 35.0 13.0 0.985 7.00 1-2 0.95 0.080 19.1 51.3 10.5 0.925 6.00 1-3 1.10 0.025 25.0 50.0 9.50 0.874 3.50 1-4 1.15 0.030 35.7 58.0 8.75 0.996 3.50 pH = 10 sample k 1 [h -1 ] k 3 [h -1 ] k 5 [h -1 ] k 6 [h -1 ] a 0 [mL] R 2 t peak [h] 2-2 0.40 0.20 1.50 1.90 8.50 0.933 5.50 1-2 0.80 0.12 0.62 1.90 8.95 0.984 4.50 1-3 0.80 0.15 0.80 1.50 7.50 0.997 4.25 1-4 0.72 0.20 1.50 2.28 8.00 0.997 4.25 Table 6 - Relation between the fitting parameter b and n for RhB release RhB pH = 3 Sample [-] fitted [-] regressed [-] ratio 2-2 0.720 0.539 1.124 2.06 1-2 0.694 0.571 1.087 1.90 RhB pH = 7 2-2 0.547 0.514 0.879 1.75 1-2 0.523 0.601 0.846 1.41 1-3 0.793 0.658 1.226 1.86 RhB pH = 10 2-2 0.735 0.549 1.145 2.09 1-2 0.847 0.679 1.302 1.92 Table 7 - Relation between the fitting parameter b and n for Esther-RhB release Ester-bonded RhB pH = 3 Sample [-] fitted [-] regressed [-] ratio 2-2 0.532 0.460 0.859 1.88 1-2 0.824 0.629 1.270 2.02 Ester-bonded RhB pH = 7 2-2 0.864 0.590 1.326 2.25 1-2 0.560 0.529 0.898 1.70 Ester-bonded RhB pH = 10 2-2 1.58 0.699 2.328 3.33 Supplementary Files graphicalabstract.png supporting.docx Cite Share Download PDF Status: Under Review Version 1 posted Reviews received at journal 30 Aug, 2021 Reviewers invited by journal 29 Aug, 2021 Editor assigned by journal 24 Aug, 2021 First submitted to journal 07 Aug, 2021 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-791682","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":48984727,"identity":"43fc20ae-db94-40ec-8bdd-ee7792fcf98f","order_by":0,"name":"Filippo Bisotti","email":"","orcid":"","institution":"Politecnico di Milano","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Filippo","middleName":"","lastName":"Bisotti","suffix":""},{"id":48984728,"identity":"cdd6678b-f8bb-471b-89a4-d63e5d170f6c","order_by":1,"name":"Fabio Pizzetti","email":"","orcid":"","institution":"Politecnico di Milano","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Fabio","middleName":"","lastName":"Pizzetti","suffix":""},{"id":48984729,"identity":"3e69ec30-0bd6-48f2-ba88-79c5060020aa","order_by":2,"name":"Giuseppe Storti","email":"","orcid":"","institution":"Politecnico di Milano","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Giuseppe","middleName":"","lastName":"Storti","suffix":""},{"id":48984730,"identity":"89ed814a-fe58-4e98-9cb1-8f45b25d6efc","order_by":3,"name":"Filippo Rossi","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA5ElEQVRIiWNgGAWjYBAC9mbmhgNwXkIFAwMfMwPDAQYD3Fp4DjMiaznDwMAG0YJbD88BxgYEj7ENqAXCxKOFnbHxcOEOGwbz9vbHHx7OuyPHxs6deICh4A9uLcyMDYdnnkljkDlzxkwicdszYzZm3g14HWYP0sLbdphBQiKHjSFx2+HENkJaeBBa0h9/SJxDmpYEA4nEBmK1AP3CI8ED9EvCMahfEgyMcWvhP3z4MzDE5CTY2x9//FFzR46f/+zmDx/+yOHUAgJAixh4oOwDECoBrwaIFhg4QEDtKBgFo2AUjEQAAExjUV/GXjMSAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0000-0003-2665-120X","institution":"Politecnico di Milano","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Filippo","middleName":"","lastName":"Rossi","suffix":""}],"badges":[],"createdAt":"2021-08-08 01:28:49","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-791682/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-791682/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":12991890,"identity":"e172337d-26eb-44b8-80fd-5f04f3b98f58","added_by":"auto","created_at":"2021-09-01 22:31:41","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":72332,"visible":true,"origin":"","legend":"Fitting curves (solid lines) and estimated mesh sizes (dots) for the different carbomer hydrogels. Vertical dashed line stands for the upper limit in polymer volume fraction as suggested in [29]","description":"","filename":"Fig.1.png","url":"https://assets-eu.researchsquare.com/files/rs-791682/v1/fcbbe349f14523fcf1defe69.png"},{"id":12992093,"identity":"24ad5041-1d9e-4d58-b65d-808587b49e2e","added_by":"auto","created_at":"2021-09-01 22:34:41","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":140515,"visible":true,"origin":"","legend":"Effect of pH on swelling dynamics of all the samples: carbomer 2-2 (A), 1-2 (B), 1-3 (C) and 1-4 (D). Curves are model results, symbols experimental data. Different colors identify the pH values: red = 3, green = 7, blue = 10","description":"","filename":"Fig.2.png","url":"https://assets-eu.researchsquare.com/files/rs-791682/v1/c782662bf4568f598a6953f5.png"},{"id":12992258,"identity":"9301703e-3e67-4cc5-9f57-70055b05f120","added_by":"auto","created_at":"2021-09-01 22:37:41","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":47520,"visible":true,"origin":"","legend":"Effect of pH on the k_1⁄k_3 ratio for each sample: 2-2 (red), 1-2 (green), 1-3 (blue), 1-4 (yellow)","description":"","filename":"Fig.3.png","url":"https://assets-eu.researchsquare.com/files/rs-791682/v1/7ddac9843917a9e2489b1a1f.png"},{"id":12992096,"identity":"c62816ee-571a-4162-a9c4-2ceb43e6fd62","added_by":"auto","created_at":"2021-09-01 22:34:41","extension":"png","order_by":4,"title":"Figure 4","display":"","copyAsset":false,"role":"figure","size":51408,"visible":true,"origin":"","legend":"Effect of pH on the estimated values of the kinetic constants of swelling (k5) and deswelling (k6)","description":"","filename":"Fig.4.png","url":"https://assets-eu.researchsquare.com/files/rs-791682/v1/e8e0a6e804834c0410dca3cd.png"},{"id":12991893,"identity":"95088816-e93b-4a4a-8ee1-f188ceb1ccc1","added_by":"auto","created_at":"2021-09-01 22:31:41","extension":"png","order_by":5,"title":"Figure 5","display":"","copyAsset":false,"role":"figure","size":50018,"visible":true,"origin":"","legend":"Effect of pH on the initial water content (a0) for all samples: hydrogel 2-2 (red), 1-2 (green), 1-3 (blue) and 1-4 (yellow)","description":"","filename":"Fig.5.png","url":"https://assets-eu.researchsquare.com/files/rs-791682/v1/2e44ba1e846d24b5559820bc.png"},{"id":12991897,"identity":"c69869c4-718f-4e68-909f-138cc9134b58","added_by":"auto","created_at":"2021-09-01 22:31:41","extension":"png","order_by":6,"title":"Figure 6","display":"","copyAsset":false,"role":"figure","size":174550,"visible":true,"origin":"","legend":"Comparison of RhB (1) and Esther-RhB (2) release for hydrogel 2-2 (blue) and 1-2 (red) at pH = 3 (A), pH = 7 (B) and pH = 10 (C) using Weibull refitting function (solid lines) as in Kosmidis and coworkers [15,32–34] and power-law (dashed lines) as in Peppas and coworkers [29–31]","description":"","filename":"Fig.6.png","url":"https://assets-eu.researchsquare.com/files/rs-791682/v1/41246fd77df149e62f5da7ae.png"},{"id":13674517,"identity":"eca90cb0-598a-4283-9649-bae65512b0c4","added_by":"auto","created_at":"2021-09-17 11:21:49","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":596822,"visible":true,"origin":"","legend":"","description":"","filename":"CRSuploadversion.pdf","url":"https://assets-eu.researchsquare.com/files/rs-791682/v1_covered.pdf"},{"id":12992259,"identity":"d20e7482-c260-4f2a-9fc0-2cb9005127ad","added_by":"auto","created_at":"2021-09-01 22:37:54","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":593329,"visible":true,"origin":"","legend":"","description":"","filename":"CRSuploadversion.pdf","url":"https://assets-eu.researchsquare.com/files/rs-791682/v1_covered.pdf"},{"id":12992095,"identity":"883412fb-e358-44af-8947-e1b463530031","added_by":"auto","created_at":"2021-09-01 22:34:41","extension":"png","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":113118,"visible":true,"origin":"","legend":"","description":"","filename":"graphicalabstract.png","url":"https://assets-eu.researchsquare.com/files/rs-791682/v1/b96e477ab56e06a739d709ed.png"},{"id":12991896,"identity":"f9c85fa7-7d50-494f-9e06-1d7af1c6a783","added_by":"auto","created_at":"2021-09-01 22:31:41","extension":"docx","order_by":2,"title":"","display":"","copyAsset":false,"role":"supplement","size":810167,"visible":true,"origin":"","legend":"","description":"","filename":"supporting.docx","url":"https://assets-eu.researchsquare.com/files/rs-791682/v1/f42383158b1a86559737a3ec.docx"}],"financialInterests":"","formattedTitle":"\u003cp\u003eMathematical Modeling of Crosslinked Polyacrylic Based Hydrogels: Physical Properties and Drug Delivery\u003c/p\u003e","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-791682/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."},{"header":"Tables","content":"\u003cp\u003eTable\u0026nbsp;1\u0026nbsp;-\u0026nbsp;Formulations of all the samples studied in this work\u003c/p\u003e\n\u003ctable border=\"1\" cellpadding=\"0\" cellspacing=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e\u003cstrong\u003eSample name\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e\u003cstrong\u003eWater [mg]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e\u003cstrong\u003eCarbomer [mg]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e\u003cstrong\u003eElastamine [mg]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e\u003cstrong\u003e2-2\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e10\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e140\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e1200\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1-2\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e10\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e70\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e1200\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1-3\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e10\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e70\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e1800\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1-4\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e10\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e70\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"25%\"\u003e\n \u003cp\u003e2400\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 2\u003cstrong\u003e\u0026nbsp;-\u0026nbsp;\u003c/strong\u003eValues of exponent n and drug release regime (diffusion controlled or swelling controlled) for different geometries according to Eq(14).\u003c/p\u003e\n\u003ctable border=\"1\" cellpadding=\"0\" cellspacing=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e\u003cstrong\u003eSolid matrix geometry\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e\u003cstrong\u003eDiffusion-controlled\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e\u003cstrong\u003eSwelling-controlled\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e\u003cstrong\u003eSlab\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e0.50\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e1.00\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e\u003cstrong\u003eCylinder\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e0.45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e0.89\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e\u003cstrong\u003eSphere\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e0.43\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e0.85\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable\u0026nbsp;3\u0026nbsp;\u0026ndash; Parameter values for swelling equilibrium estimated from experiments\u003c/p\u003e\n\u003ctable border=\"1\" cellpadding=\"0\" cellspacing=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd colspan=\"9\" valign=\"top\" width=\"100%\"\u003e\n \u003cp\u003e\u003cstrong\u003epH = 3\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.267080745341614%\"\u003e\n \u003cp\u003e\u003cstrong\u003esamples\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"15.993788819875776%\"\u003e\n \u003cp\u003e\u003cstrong\u003eEquilibrium swelling\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003eQ\u003csub\u003ev\u003c/sub\u003e [\u0026ndash;]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.099378881987576%\"\u003e\n \u003cp\u003e\u003cstrong\u003ePolymer volume fraction\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026nbsp;ϕ [-]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.130434782608695%\"\u003e\n \u003cp\u003e\u003cstrong\u003eMesh size\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026xi; [nm]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.633540372670808%\"\u003e\n \u003cp\u003e\u003cstrong\u003eMolecular weight\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003eM\u003csub\u003ec\u003c/sub\u003e [g ∙ mol\u003c/strong\u003e\u003csup\u003e\u003cstrong\u003e-\u003c/strong\u003e1\u003c/sup\u003e]\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.875776397515526%\"\u003e\n \u003cp\u003e\u003cstrong\u003eCrosslinking density\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026nu; [\u0026mu;mol ∙ cm\u003csup\u003e-3\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.267080745341614%\"\u003e\n \u003cp\u003e\u003cstrong\u003e2-2\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"15.993788819875776%\"\u003e\n \u003cp\u003e7.20\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.099378881987576%\"\u003e\n \u003cp\u003e0.139\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.130434782608695%\"\u003e\n \u003cp\u003e13.66\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.633540372670808%\"\u003e\n \u003cp\u003e11348\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.875776397515526%\"\u003e\n \u003cp\u003e123.37\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.267080745341614%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1-2\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"15.993788819875776%\"\u003e\n \u003cp\u003e7.63\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.099378881987576%\"\u003e\n \u003cp\u003e0.131\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.130434782608695%\"\u003e\n \u003cp\u003e15.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.633540372670808%\"\u003e\n \u003cp\u003e13416\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.875776397515526%\"\u003e\n \u003cp\u003e104.35\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.267080745341614%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1_3\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"15.993788819875776%\"\u003e\n \u003cp\u003e7.92\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.099378881987576%\"\u003e\n \u003cp\u003e0.126\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.130434782608695%\"\u003e\n \u003cp\u003e16.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.633540372670808%\"\u003e\n \u003cp\u003e14896\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.875776397515526%\"\u003e\n \u003cp\u003e93.98\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.267080745341614%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1_4\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"15.993788819875776%\"\u003e\n \u003cp\u003e7.32\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.099378881987576%\"\u003e\n \u003cp\u003e0.137\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.130434782608695%\"\u003e\n \u003cp\u003e14.07\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.633540372670808%\"\u003e\n \u003cp\u003e11910\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.875776397515526%\"\u003e\n \u003cp\u003e117.50\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd colspan=\"9\" valign=\"top\" width=\"100%\"\u003e\n \u003cp\u003e\u003cstrong\u003epH = 7\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.267080745341614%\"\u003e\n \u003cp\u003e\u003cstrong\u003esamples\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"15.993788819875776%\"\u003e\n \u003cp\u003e\u003cstrong\u003eEquilibrium swelling\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003eQ\u003csub\u003ev\u003c/sub\u003e [\u0026ndash;]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.099378881987576%\"\u003e\n \u003cp\u003e\u003cstrong\u003ePolymer volume fraction\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026nbsp;ϕ [-]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.130434782608695%\"\u003e\n \u003cp\u003e\u003cstrong\u003eMesh size\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026xi; [nm]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.633540372670808%\"\u003e\n \u003cp\u003e\u003cstrong\u003eMolecular weight\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003eM\u003csub\u003ec\u003c/sub\u003e [g ∙ mol\u003c/strong\u003e\u003csup\u003e\u003cstrong\u003e-\u003c/strong\u003e1\u003c/sup\u003e]\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.875776397515526%\"\u003e\n \u003cp\u003e\u003cstrong\u003eCrosslinking density\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026nu; [\u0026mu;mol ∙ cm\u003csup\u003e-3\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.28615863141524%\"\u003e\n \u003cp\u003e\u003cstrong\u003e2_2\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"16.018662519440124%\"\u003e\n \u003cp\u003e13.69\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.12908242612753%\"\u003e\n \u003cp\u003e0.073\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.152410575427682%\"\u003e\n \u003cp\u003e42.43\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.818040435458787%\"\u003e\n \u003cp\u003e70200\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.595645412130636%\"\u003e\n \u003cp\u003e20.07\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.28615863141524%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1_2\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"16.018662519440124%\"\u003e\n \u003cp\u003e11.28\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.12908242612753%\"\u003e\n \u003cp\u003e0.089\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.152410575427682%\"\u003e\n \u003cp\u003e30.07\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.818040435458787%\"\u003e\n \u003cp\u003e40750\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.595645412130636%\"\u003e\n \u003cp\u003e34.36\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.28615863141524%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1_3\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"16.018662519440124%\"\u003e\n \u003cp\u003e10.29\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.12908242612753%\"\u003e\n \u003cp\u003e0.098\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.152410575427682%\"\u003e\n \u003cp\u003e25.63\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.818040435458787%\"\u003e\n \u003cp\u003e31620\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.595645412130636%\"\u003e\n \u003cp\u003e45.38\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.28615863141524%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1_4\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"16.018662519440124%\"\u003e\n \u003cp\u003e8.74\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.12908242612753%\"\u003e\n \u003cp\u003e0.114\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.152410575427682%\"\u003e\n \u003cp\u003e19.25\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.818040435458787%\"\u003e\n \u003cp\u003e19800\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.595645412130636%\"\u003e\n \u003cp\u003e70.72\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd colspan=\"9\" valign=\"top\" width=\"100%\"\u003e\n \u003cp\u003e\u003cstrong\u003epH = 10\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.267080745341614%\"\u003e\n \u003cp\u003e\u003cstrong\u003esamples\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"15.993788819875776%\"\u003e\n \u003cp\u003e\u003cstrong\u003eEquilibrium swelling\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003eQ\u003csub\u003ev\u003c/sub\u003e [\u0026ndash;]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.099378881987576%\"\u003e\n \u003cp\u003e\u003cstrong\u003ePolymer volume fraction\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026nbsp;ϕ [-]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.130434782608695%\"\u003e\n \u003cp\u003e\u003cstrong\u003eMesh size\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026xi; [nm]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.633540372670808%\"\u003e\n \u003cp\u003e\u003cstrong\u003eMolecular weight\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003eM\u003csub\u003ec\u003c/sub\u003e [g ∙ mol\u003c/strong\u003e\u003csup\u003e\u003cstrong\u003e-\u003c/strong\u003e1\u003c/sup\u003e]\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.875776397515526%\"\u003e\n \u003cp\u003e\u003cstrong\u003eCrosslinking density\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026nu; [\u0026mu;mol ∙ cm\u003csup\u003e-3\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.28615863141524%\"\u003e\n \u003cp\u003e\u003cstrong\u003e2_2\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"16.018662519440124%\"\u003e\n \u003cp\u003e8.74\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.12908242612753%\"\u003e\n \u003cp\u003e0.114\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.152410575427682%\"\u003e\n \u003cp\u003e19.25\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.818040435458787%\"\u003e\n \u003cp\u003e19800\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.595645412130636%\"\u003e\n \u003cp\u003e70.71\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.28615863141524%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1_2\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"16.018662519440124%\"\u003e\n \u003cp\u003e10.53\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.12908242612753%\"\u003e\n \u003cp\u003e0.095\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.152410575427682%\"\u003e\n \u003cp\u003e21.20\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.818040435458787%\"\u003e\n \u003cp\u003e23155\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.595645412130636%\"\u003e\n \u003cp\u003e60.46\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.28615863141524%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1_3\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"16.018662519440124%\"\u003e\n \u003cp\u003e7.96\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.12908242612753%\"\u003e\n \u003cp\u003e0.126\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.152410575427682%\"\u003e\n \u003cp\u003e16.31\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.818040435458787%\"\u003e\n \u003cp\u003e15140\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.595645412130636%\"\u003e\n \u003cp\u003e92.49\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.28615863141524%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1_4\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"16.018662519440124%\"\u003e\n \u003cp\u003e6.13\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"19.12908242612753%\"\u003e\n \u003cp\u003e0.163\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"14.152410575427682%\"\u003e\n \u003cp\u003e10.25\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"2\" valign=\"top\" width=\"18.818040435458787%\"\u003e\n \u003cp\u003e7110\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"19.595645412130636%\"\u003e\n \u003cp\u003e196.95\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable\u0026nbsp;4\u0026nbsp;- Parameters in mesh size fitting\u003c/p\u003e\n\u003ctable border=\"1\" cellpadding=\"0\" cellspacing=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd colspan=\"3\" valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e\u003cstrong\u003epH = 3\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e\u003cstrong\u003epH = 7\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd colspan=\"3\" valign=\"top\" width=\"33.333333333333336%\"\u003e\n \u003cp\u003e\u003cstrong\u003epH = 10\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026alpha;\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026beta;\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e\u003cstrong\u003eR\u003c/strong\u003e\u003csup\u003e\u003cstrong\u003e2\u003c/strong\u003e\u003c/sup\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026alpha;\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026beta;\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e\u003cstrong\u003eR\u003c/strong\u003e\u003csup\u003e\u003cstrong\u003e2\u003c/strong\u003e\u003c/sup\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026alpha;\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026beta;\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e\u003cstrong\u003eR\u003c/strong\u003e\u003csup\u003e\u003cstrong\u003e2\u003c/strong\u003e\u003c/sup\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e-37.87\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e19.20\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e0.999\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e-74.93\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e31.51\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e0.994\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e-44.10\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e21.67\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.11111111111111%\"\u003e\n \u003cp\u003e0.985\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable\u0026nbsp;5\u0026nbsp;\u0026ndash; Numerical values of the\u0026nbsp;fitting parameters at different pH medium for carbomer samples\u003c/p\u003e\n\u003ctable border=\"1\" cellpadding=\"0\" cellspacing=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd colspan=\"8\" valign=\"top\" width=\"100%\"\u003e\n \u003cp\u003e\u003cstrong\u003epH = 3\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003esample\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e\u003cstrong\u003ek\u003csub\u003e1\u003c/sub\u003e [h\u003csup\u003e-1\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e\u003cstrong\u003ek\u003csub\u003e3\u003c/sub\u003e [h\u003csup\u003e-1\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e\u003cstrong\u003ek\u003csub\u003e5\u003c/sub\u003e [h\u003csup\u003e-1\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e\u003cstrong\u003ek\u003csub\u003e6\u003c/sub\u003e [h\u003csup\u003e-1\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003ea\u003csub\u003e0\u003c/sub\u003e [mL]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e\u003cstrong\u003eR\u003c/strong\u003e\u003csup\u003e\u003cstrong\u003e2\u003c/strong\u003e\u003c/sup\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e\u003cstrong\u003et\u003csub\u003epeak\u003c/sub\u003e [h]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003e2-2\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.71\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.10\u0026nbsp;\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.50\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e1.25\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e5.81\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e0.953\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e5.00\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1-2\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e1.03\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.23\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.52\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.81\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e7.45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e0.985\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e3.20\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1-3\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.45\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.50\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e1.51\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e6.00\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e0.904\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e8.00\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1-4\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.27\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.20\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e1.50\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e1.91\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e8.00\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e0.850\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e7.00\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd colspan=\"8\" valign=\"top\" width=\"100%\"\u003e\n \u003cp\u003e\u003cstrong\u003epH = 7\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003esample\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e\u003cstrong\u003ek\u003csub\u003e1\u003c/sub\u003e [h\u003csup\u003e-1\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e\u003cstrong\u003ek\u003csub\u003e3\u003c/sub\u003e [h\u003csup\u003e-1\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e\u003cstrong\u003ek\u003csub\u003e5\u003c/sub\u003e [h\u003csup\u003e-1\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e\u003cstrong\u003ek\u003csub\u003e6\u003c/sub\u003e [h\u003csup\u003e-1\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003ea\u003csub\u003e0\u003c/sub\u003e [mL]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e\u003cstrong\u003eR\u003c/strong\u003e\u003csup\u003e\u003cstrong\u003e2\u003c/strong\u003e\u003c/sup\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e\u003cstrong\u003et\u003csub\u003epeak\u003c/sub\u003e [h]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003e2-2\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.55\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.045\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e15.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e35.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e13.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e0.985\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e7.00\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1-2\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.95\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.080\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e19.1\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e51.3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e10.5\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e0.925\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e6.00\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1-3\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e1.10\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.025\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e25.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e50.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e9.50\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e0.874\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e3.50\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1-4\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e1.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.030\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e35.7\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e58.0\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e8.75\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e0.996\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e3.50\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd colspan=\"8\" valign=\"top\" width=\"100%\"\u003e\n \u003cp\u003e\u003cstrong\u003epH = 10\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003esample\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e\u003cstrong\u003ek\u003csub\u003e1\u003c/sub\u003e [h\u003csup\u003e-1\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e\u003cstrong\u003ek\u003csub\u003e3\u003c/sub\u003e [h\u003csup\u003e-1\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e\u003cstrong\u003ek\u003csub\u003e5\u003c/sub\u003e [h\u003csup\u003e-1\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e\u003cstrong\u003ek\u003csub\u003e6\u003c/sub\u003e [h\u003csup\u003e-1\u003c/sup\u003e]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003ea\u003csub\u003e0\u003c/sub\u003e [mL]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e\u003cstrong\u003eR\u003c/strong\u003e\u003csup\u003e\u003cstrong\u003e2\u003c/strong\u003e\u003c/sup\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e\u003cstrong\u003et\u003csub\u003epeak\u003c/sub\u003e [h]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003e2-2\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.40\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.20\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e1.50\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e1.90\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e8.50\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e0.933\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e5.50\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1-2\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.80\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.12\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.62\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e1.90\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e8.95\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e0.984\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e4.50\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1-3\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.80\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.15\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.80\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e1.50\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e7.50\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e0.997\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e4.25\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e\u003cstrong\u003e1-4\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.72\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e0.20\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e1.50\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.792511700468019%\"\u003e\n \u003cp\u003e2.28\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.636505460218409%\"\u003e\n \u003cp\u003e8.00\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"12.168486739469579%\"\u003e\n \u003cp\u003e0.997\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd valign=\"top\" width=\"11.388455538221528%\"\u003e\n \u003cp\u003e4.25\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable\u0026nbsp;6\u0026nbsp;-\u0026nbsp;Relation between the fitting parameter b and n for RhB release\u003c/p\u003e\n\u003ctable border=\"1\" cellpadding=\"0\" cellspacing=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd colspan=\"5\" width=\"100%\"\u003e\n \u003cp\u003e\u003cstrong\u003eRhB pH = 3\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e\u003cstrong\u003eSample\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026nbsp;[-]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"18.876755070202808%\"\u003e\n \u003cp\u003e\u003cstrong\u003efitted\u0026nbsp;\u003c/strong\u003e\u003cstrong\u003e\u0026nbsp;[-]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"22.152886115444616%\"\u003e\n \u003cp\u003e\u003cstrong\u003eregressed\u0026nbsp;\u003c/strong\u003e\u003cstrong\u003e\u0026nbsp;[-]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.03276131045242%\"\u003e\n \u003cp\u003e\u003cstrong\u003eratio\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e2-2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e0.720\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"18.876755070202808%\"\u003e\n \u003cp\u003e0.539\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"22.152886115444616%\"\u003e\n \u003cp\u003e1.124\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.03276131045242%\"\u003e\n \u003cp\u003e2.06\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e1-2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e0.694\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"18.876755070202808%\"\u003e\n \u003cp\u003e0.571\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"22.152886115444616%\"\u003e\n \u003cp\u003e1.087\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.03276131045242%\"\u003e\n \u003cp\u003e1.90\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd colspan=\"5\" width=\"100%\"\u003e\n \u003cp\u003e\u003cstrong\u003eRhB pH = 7\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e2-2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e0.547\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"18.876755070202808%\"\u003e\n \u003cp\u003e0.514\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"22.152886115444616%\"\u003e\n \u003cp\u003e0.879\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.03276131045242%\"\u003e\n \u003cp\u003e1.75\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e1-2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e0.523\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"18.876755070202808%\"\u003e\n \u003cp\u003e0.601\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"22.152886115444616%\"\u003e\n \u003cp\u003e0.846\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.03276131045242%\"\u003e\n \u003cp\u003e1.41\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e1-3\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e0.793\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"18.876755070202808%\"\u003e\n \u003cp\u003e0.658\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"22.152886115444616%\"\u003e\n \u003cp\u003e1.226\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.03276131045242%\"\u003e\n \u003cp\u003e1.86\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd colspan=\"5\" width=\"100%\"\u003e\n \u003cp\u003e\u003cstrong\u003eRhB pH = 10\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e2-2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e0.735\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"18.876755070202808%\"\u003e\n \u003cp\u003e0.549\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"22.152886115444616%\"\u003e\n \u003cp\u003e1.145\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.03276131045242%\"\u003e\n \u003cp\u003e2.09\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e1-2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e0.847\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"18.876755070202808%\"\u003e\n \u003cp\u003e0.679\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"22.152886115444616%\"\u003e\n \u003cp\u003e1.302\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.03276131045242%\"\u003e\n \u003cp\u003e1.92\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e\n\u003cp\u003eTable 7 - Relation between the fitting parameter b and n for Esther-RhB release\u003c/p\u003e\n\u003ctable border=\"1\" cellpadding=\"0\" cellspacing=\"0\"\u003e\n \u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd colspan=\"5\" width=\"100%\"\u003e\n \u003cp\u003e\u003cstrong\u003eEster-bonded RhB pH = 3\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e\u003cstrong\u003eSample\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e\u003cstrong\u003e\u0026nbsp;[-]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"18.876755070202808%\"\u003e\n \u003cp\u003e\u003cstrong\u003efitted\u0026nbsp;\u003c/strong\u003e\u003cstrong\u003e\u0026nbsp;[-]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"22.152886115444616%\"\u003e\n \u003cp\u003e\u003cstrong\u003eregressed\u0026nbsp;\u003c/strong\u003e\u003cstrong\u003e\u0026nbsp;[-]\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.03276131045242%\"\u003e\n \u003cp\u003e\u003cstrong\u003eratio\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e2-2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e0.532\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"18.876755070202808%\"\u003e\n \u003cp\u003e0.460\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"22.152886115444616%\"\u003e\n \u003cp\u003e0.859\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.03276131045242%\"\u003e\n \u003cp\u003e1.88\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e1-2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e0.824\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"18.876755070202808%\"\u003e\n \u003cp\u003e0.629\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"22.152886115444616%\"\u003e\n \u003cp\u003e1.270\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.03276131045242%\"\u003e\n \u003cp\u003e2.02\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd colspan=\"5\" width=\"100%\"\u003e\n \u003cp\u003e\u003cstrong\u003eEster-bonded RhB pH = 7\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e2-2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e0.864\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"18.876755070202808%\"\u003e\n \u003cp\u003e0.590\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"22.152886115444616%\"\u003e\n \u003cp\u003e1.326\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.03276131045242%\"\u003e\n \u003cp\u003e2.25\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e1-2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e0.560\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"18.876755070202808%\"\u003e\n \u003cp\u003e0.529\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"22.152886115444616%\"\u003e\n \u003cp\u003e0.898\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.03276131045242%\"\u003e\n \u003cp\u003e1.70\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd colspan=\"5\" width=\"100%\"\u003e\n \u003cp\u003e\u003cstrong\u003eEster-bonded RhB pH = 10\u003c/strong\u003e\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003ctr\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e2-2\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.96879875195008%\"\u003e\n \u003cp\u003e1.58\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"18.876755070202808%\"\u003e\n \u003cp\u003e0.699\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"22.152886115444616%\"\u003e\n \u003cp\u003e2.328\u003c/p\u003e\n \u003c/td\u003e\n \u003ctd width=\"19.03276131045242%\"\u003e\n \u003cp\u003e3.33\u003c/p\u003e\n \u003c/td\u003e\n \u003c/tr\u003e\n \u003c/tbody\u003e\n\u003c/table\u003e\n\u003cp\u003e\u0026nbsp;\u003c/p\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"drug-delivery-and-translational-research","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"ddtr","sideBox":"Learn more about [Drug Delivery and Translational Research](https://www.springer.com/journal/13346)","snPcode":"","submissionUrl":"https://www.editorialmanager.com/ddtr/default.aspx","title":"Drug Delivery and Translational Research","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"hydrogels, drug delivery, swelling dynamics, mathematical modeling, transport phenomena","lastPublishedDoi":"10.21203/rs.3.rs-791682/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-791682/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eRecently, hydrogels have gained significant importance in different applications, such as tissue engineering and drug delivery. They are 3D-structures of hydrophilic polymers held together through physical or chemical cross-linking. Important is their ability to swell in presence of solvents, forming elastic gels able to mantain their original shape. Furthermore, this scaffolds slowly degrade in the physiological environment, leading the growing tissue to replace the former filled site. In this work, hydrogels have been synthetized using branched polyacrilic acid (Carbomer) cross-linked with an aliphatic polyetherdiamine (elastamine). In particular, we focused on the description of their equilibrium conditions in swollen state and the dynamic simulation of the swelling process. These hydrogels exhibited a peculiar swelling behaviour characterized by an overshoot of the volume increase before reaching the equilibrium. Notably, such behavior was found at different pH values. In this manuscript, the swelling behavior was studied by mathematical modelling. Moreover, the ability of these devices to release drugs was also examined through a literature model to understand the different operating transport mechanisms.\u003c/p\u003e","manuscriptTitle":"Mathematical Modeling of Crosslinked Polyacrylic Based Hydrogels: Physical Properties and Drug Delivery","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2021-09-01 22:31:39","doi":"10.21203/rs.3.rs-791682/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"editorInvitedReview","content":"","date":"2021-08-30T21:32:10+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2021-08-29T16:20:00+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2021-08-24T08:00:20+00:00","index":"","fulltext":""},{"type":"submitted","content":"Drug Delivery and Translational Research","date":"2021-08-07T04:09:45+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"drug-delivery-and-translational-research","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"ddtr","sideBox":"Learn more about [Drug Delivery and Translational Research](https://www.springer.com/journal/13346)","snPcode":"","submissionUrl":"https://www.editorialmanager.com/ddtr/default.aspx","title":"Drug Delivery and Translational Research","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"b4acf423-3a82-4d7a-8fe5-0fd93714d7e7","owner":[],"postedDate":"September 1st, 2021","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[{"id":6869209,"name":"Drug Delivery"}],"tags":[],"updatedAt":"2022-02-04T03:44:19+00:00","versionOfRecord":[],"versionCreatedAt":"2021-09-01 22:31:39","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-791682","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-791682","identity":"rs-791682","version":["v1"]},"buildId":"7rjqhiLT3MXkJMwkYKINL","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}