Drug diffusion in a swollen polymer

V. A. Volpert; A. A. Nepomnyashchy; Y. Kanevsky

doi:10.1137/16M1090880

Drug diffusion in a swollen polymer

V. A. Volpert, A. A. Nepomnyashchy, Y. Kanevsky

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A model of drug diffusion through a polymer matrix that undergoes swelling is presented. The model is based on the Lagrangian description of the swelling dynamics, which allows consideration of large deformations of the polymer matrix. Similarity solutions of a one-dimensional version of the model are determined.

Original language	English (US)
Pages (from-to)	124-144
Number of pages	21
Journal	SIAM Journal on Applied Mathematics
Volume	78
Issue number	1
DOIs	https://doi.org/10.1137/16M1090880
State	Published - 2018

Keywords

Drug diffusion
Polymer swelling
Similarity solution

ASJC Scopus subject areas

Applied Mathematics

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10.1137/16M1090880

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title = "Drug diffusion in a swollen polymer",

abstract = "A model of drug diffusion through a polymer matrix that undergoes swelling is presented. The model is based on the Lagrangian description of the swelling dynamics, which allows consideration of large deformations of the polymer matrix. Similarity solutions of a one-dimensional version of the model are determined.",

keywords = "Drug diffusion, Polymer swelling, Similarity solution",

author = "Volpert, {V. A.} and Nepomnyashchy, {A. A.} and Y. Kanevsky",

note = "Publisher Copyright: {\textcopyright} 2018 Society for Industrial and Applied Mathematics.",

year = "2018",

doi = "10.1137/16M1090880",

language = "English (US)",

volume = "78",

pages = "124--144",

journal = "SIAM Journal on Applied Mathematics",

issn = "0036-1399",

publisher = "Society for Industrial and Applied Mathematics Publications",

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T1 - Drug diffusion in a swollen polymer

AU - Volpert, V. A.

AU - Nepomnyashchy, A. A.

AU - Kanevsky, Y.

PY - 2018

Y1 - 2018

N2 - A model of drug diffusion through a polymer matrix that undergoes swelling is presented. The model is based on the Lagrangian description of the swelling dynamics, which allows consideration of large deformations of the polymer matrix. Similarity solutions of a one-dimensional version of the model are determined.

AB - A model of drug diffusion through a polymer matrix that undergoes swelling is presented. The model is based on the Lagrangian description of the swelling dynamics, which allows consideration of large deformations of the polymer matrix. Similarity solutions of a one-dimensional version of the model are determined.

KW - Drug diffusion

KW - Polymer swelling

KW - Similarity solution

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DO - 10.1137/16M1090880

M3 - Article

AN - SCOPUS:85043772452

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EP - 144

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

IS - 1

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Drug diffusion in a swollen polymer

Abstract

Keywords

ASJC Scopus subject areas

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