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

1 Scopus citations

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

Funding

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.

Keywords

Drug release
Similarity solution
Stefan problem
Subdiffusion

ASJC Scopus subject areas

Condensed Matter Physics
Atomic and Molecular Physics, and Optics
Mathematical Physics

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10.1088/0031-8949/91/4/044005

Cite this

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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.",

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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.

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Similarity solution of a stefan drug-release subdiffusion problem

Abstract

Funding

Keywords

ASJC Scopus subject areas

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