Mathematical modeling of freezing front propagation in biological tissue

DOI10.1016/0895-7177(90)90082-XzbMath0715.92007OpenAlexW2059212374WikidataQ113881657 ScholiaQ113881657MaRDI QIDQ752034

Roman I. Andrushkiw

Publication date: 1990

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(90)90082-x

zbMATH Keywords

temperature profilephase-changeenthalpy methodtransient heat conductionimplicit finite-difference schemeblood perfusionbody heatingcontact freezing of biological tissuefree boundary problem of the Stefan-typemetabolic heat generation

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Physiology (general) (92C30)

Related Items (5)

Modeling of multidimensional freezing problem during cryosurgery by the dual reciprocity boundary element method ⋮ Numerical Study on Biological Tissue Freezing Using Dual Phase Lag Bio-Heat Equation ⋮ Wiener-Hopf technique for a fractional mixed boundary value problem in cylindrical layer ⋮ Interface dynamics for quasi-stationary Stefan problem ⋮ Freezing of blood perfused tissue: An improved quasi-steady solution

Cites Work

• Accurate solutions of moving boundary problems using the enthalpy method
• Error Analysis of the Enthalpy Method for the Stefan Problem
• Multidimensional Stefan Problems
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