A new mathematical approach to predict the actual drug release from hydrogels

Annabi, 2014, 25th anniversary article: rational design and applications of hydrogels in regenerative medicine, Adv. Mater., 26, 85, 10.1002/adma.201303233 Bahreyni, 2017, A new chemotherapy agent-free theranostic system composed of graphene oxide nano-complex and aptamers for treatment of cancer cells, Int. J. Pharm., 526, 391, 10.1016/j.ijpharm.2017.05.014 Cohen, 1988, Free boundary problems in controlled release pharmaceuticals. I: diffusion in glassy polymers, SIAM J. Appl. Math., 48, 1451, 10.1137/0148089 Convertino, 2016, Pharmacological chaperones: design and development of new therapeutic strategies for the treatment of conformational diseases, ACS Chem. Biol., 11, 1471, 10.1021/acschembio.6b00195 Crank, 1987 Deng, 2013, Poly (vinyl alcohol)(PVA)-enhanced hybrid hydrogels of hyperbranched poly (ether amine)(hPEA) for selective adsorption and separation of dyes, Macromolecules, 46, 2399, 10.1021/ma302330w Esmaeili, 2017, Optimization of in vitro release of an anticonvulsant using nanocapsule-based thermogels, Eur. J. Pharm. Sci., 99, 9, 10.1016/j.ejps.2016.12.006 Fujita, 1961, Diffusion in polymer-diluent systems, Fortschr. Hochpolymeren-Forsch., 1 Gaharwar, 2014, Nanocomposite hydrogels for biomedical applications, Biotechnol. Bioeng., 111, 441, 10.1002/bit.25160 Goole, 2016, 3D printing in pharmaceutics: a new tool for designing customized drug delivery systems, Int. J. Pharm., 499, 376, 10.1016/j.ijpharm.2015.12.071 Hsieh, 2012 Hsieh, 2011, Drug diffusion from polymeric delivery devices: a problem with two moving boundaries, ANZIAM J., 52, 549, 10.21914/anziamj.v52i0.3940 Jensen, 2016, In vitro release studies of insulin from lipid implants in solution and in a hydrogel matrix mimicking the subcutis, Eur. J. Pharm. Sci., 81, 103, 10.1016/j.ejps.2015.10.011 Joseph, 2017 Juncu, 2016, Drug release kinetics from carboxymethylcellulose-bacterial cellulose composite films, Int. J. Pharm., 510, 485, 10.1016/j.ijpharm.2015.11.053 Kamaly, 2016, Degradable controlled-release polymers and polymeric nanoparticles: mechanisms of controlling drug release, Chem. Rev., 116, 2602, 10.1021/acs.chemrev.5b00346 Lei, 2016, Targeted tumor delivery and controlled release of neuronal drugs with ferritin nanoparticles to regulate pancreatic cancer progression, J. Control. Release, 232, 131, 10.1016/j.jconrel.2016.03.023 Lin, 2005, Swelling controlled release of drug in spherical polymer-penetrant systems, Int. J. Heat Mass Transf., 48, 1186, 10.1016/j.ijheatmasstransfer.2004.08.031 Manga, 2017, Mathematical models for controlled drug release through pH-responsive polymeric hydrogels, J. Pharm. Sci., 106, 629, 10.1016/j.xphs.2016.10.019 Munoz, 2017, Design of nonionic micelle-laden polysaccharide hydrogels for controlled delivery of hydrophobic drugs, Int. J. Pharm., 526, 455, 10.1016/j.ijpharm.2017.04.062 O'Leary, 1987, Concentration dependence of protein diffusion, Biophys. J., 52, 137, 10.1016/S0006-3495(87)83199-5 Park, 2014, Controlled drug delivery systems: past forward and future back, J. Control. Release, 190, 3, 10.1016/j.jconrel.2014.03.054 Peppas, 2014, Mathematical models in drug delivery: how modeling has shaped the way we design new drug delivery systems, J. Control. Release, 190, 75, 10.1016/j.jconrel.2014.06.041 Peppas, 2016, Hydrogel-based biosensors and sensing devices for drug delivery, J. Control. Release, 240, 142, 10.1016/j.jconrel.2015.11.022 Peppas, 1980, Modelling of drug diffusion through swellable polymeric systems, J. Membr. Sci., 7, 241, 10.1016/S0376-7388(00)80471-8 Petlin, 2017, A fiber distribution model for predicting drug release rates, J. Control. Release, 258, 218, 10.1016/j.jconrel.2017.05.021 Radu, 2002, Modeling of drug release from collagen matrices, J. Pharm. Sci., 91, 964, 10.1002/jps.10098 Ray, 2013, Drug release from collagen matrices including an evolving microstructure, ZAMM-J. Appl. Math. Mech./Z. Angew. Math. Mech., 93, 811, 10.1002/zamm.201200196 Siepmann, 2008, A novel mathematical model quantifying drug release from lipid implants, J. Control. Release, 128, 233, 10.1016/j.jconrel.2008.03.009 Singh, 2016, Advances in nanotechnology-based carrier systems for targeted delivery of bioactive drug molecules with special emphasis on immunotherapy in drug resistant tuberculosis–a critical review, Drug Deliv., 23, 1676, 10.3109/10717544.2015.1074765 Van Kampen, 2016 Vashist, 2014, Recent advances in hydrogel based drug delivery systems for the human body, J. Mater. Chem. B, 2, 147, 10.1039/C3TB21016B Wu, 2005, Mathematical modeling and in vitro study of controlled drug release via a highly swellable and dissoluble polymer matrix: polyethylene oxide with high molecular weights, J. Control. Release, 102, 569, 10.1016/j.jconrel.2004.11.002 Zhou, 2002, Theoretical analyses of dispersed-drug release from planar matrices with a boundary layer in a finite medium, J. Control. Release, 84, 1, 10.1016/S0168-3659(02)00263-8