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EnglishAbstract. A three-dimensional mathematical model for sorption/desorption by a cylindrical polymeric matrix with dispersed drug is proposed. The model is based on a system of partial differential equations coupled with boundary conditions over a moving boundary. We assume that the penetrant diffuses into a swelling matrix and causes a deformation, which induces a stressdriven diffusion and consequently a non-Fickian mass flux. A physically sound nonlinear dependence between strain and penetrant concentration is considered and introduced in a Boltzmann integral with a kernel computed from a Maxwell–Wiechert model. Numerical simulations show how the mechanistic behavior can have a role in drug delivery design.
| Titolo: | A 3D model for mechanistic control of drug release |
| Autori: | |
| Data di pubblicazione: | 2014 |
| Rivista: | |
| Abstract: | Abstract. A three-dimensional mathematical model for sorption/desorption by a cylindrical polymeric matrix with dispersed drug is proposed. The model is based on a system of partial differential equations coupled with boundary conditions over a moving boundary. We assume that the penetrant diffuses into a swelling matrix and causes a deformation, which induces a stressdriven diffusion and consequently a non-Fickian mass flux. A physically sound nonlinear dependence between strain and penetrant concentration is considered and introduced in a Boltzmann integral with a kernel computed from a Maxwell–Wiechert model. Numerical simulations show how the mechanistic behavior can have a role in drug delivery design. |
| Handle: | http://hdl.handle.net/11368/2808931 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1137/130930674 |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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| Siam J Appl Math 74 2014.pdf | Documento in Versione Editoriale | Digital Rights Management non definito | Administrator Richiedi una copia |
http://hdl.handle.net/11368/2808931
