Similarity solution of a stefan drug-release subdiffusion problem

V. A. Volpert; A. A. Nepomnyashchy

doi:10.1088/0031-8949/91/4/044005

Similarity solution of a stefan drug-release subdiffusion problem

V. A. Volpert, A. A. Nepomnyashchy

Engineering Sciences and Applied Mathematics

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

Abstract

Propagation of a gel/glass transition boundary in a polymer is considered in the context of drug release. Drug molecules are assumed to undergo subdiffusive motion in the gel and be quiescent in the glass region. Exact self-similar solutions for the drug concentration are constructed, and the amount of released drug is determined as a function of time.

Original language	English (US)
Article number	044005
Journal	Physica Scripta
Volume	91
Issue number	4
DOIs	https://doi.org/10.1088/0031-8949/91/4/044005
State	Published - Mar 24 2016

Keywords

Drug release
Similarity solution
Stefan problem
Subdiffusion

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Mathematical Physics
Condensed Matter Physics
Physics and Astronomy(all)

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10.1088/0031-8949/91/4/044005

Cite this

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title = "Similarity solution of a stefan drug-release subdiffusion problem",

abstract = "Propagation of a gel/glass transition boundary in a polymer is considered in the context of drug release. Drug molecules are assumed to undergo subdiffusive motion in the gel and be quiescent in the glass region. Exact self-similar solutions for the drug concentration are constructed, and the amount of released drug is determined as a function of time.",

keywords = "Drug release, Similarity solution, Stefan problem, Subdiffusion",

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

note = "Funding Information: The work has been partially supported by the US-Israel Binational Science Foundation (grant No. 2008122). VAV gratefully acknowledges the support of NSF grant DMS 1108624. Publisher Copyright: {\textcopyright} 2016 The Royal Swedish Academy of Sciences Printed in the UK.",

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N2 - Propagation of a gel/glass transition boundary in a polymer is considered in the context of drug release. Drug molecules are assumed to undergo subdiffusive motion in the gel and be quiescent in the glass region. Exact self-similar solutions for the drug concentration are constructed, and the amount of released drug is determined as a function of time.

AB - Propagation of a gel/glass transition boundary in a polymer is considered in the context of drug release. Drug molecules are assumed to undergo subdiffusive motion in the gel and be quiescent in the glass region. Exact self-similar solutions for the drug concentration are constructed, and the amount of released drug is determined as a function of time.

KW - Drug release

KW - Similarity solution

KW - Stefan problem

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Similarity solution of a stefan drug-release subdiffusion problem

Abstract

Keywords

ASJC Scopus subject areas

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