Similarity solution of a stefan drug-release subdiffusion problem

V. A. Volpert, A. A. Nepomnyashchy

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Article number044005
JournalPhysica Scripta
Issue number4
StatePublished - Mar 24 2016
Externally publishedYes


  • 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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