Numerical Study on Biological Tissue Freezing Using Dual Phase Lag Bio-Heat Equation

DOI10.1007/978-3-319-91092-5_19zbMath1401.92046OpenAlexW2887060234MaRDI QIDQ4556938

Sushil Kumar, Sonalika Singh

Publication date: 28 November 2018

Published in: Trends in Biomathematics: Modeling, Optimization and Computational Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-91092-5_19

zbMATH Keywords

dual phase lag modelPennes bio-heat equationbiological tissue freezing

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiology (general) (92C30) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Cites Work

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• Thermal lagging in living biological tissue based on nonequilibrium heat transfer between tissue, arterial and venous bloods
• Mathematical modeling of freezing front propagation in biological tissue
• Analysis for the dual-phase-lag bio-heat transfer during magnetic hyperthermia treatment
• Generalized dual-phase lag bioheat equations based on nonequilibrium heat transfer in living biological tissues
• Generalized Fourier law
• Modeling of multidimensional freezing problem during cryosurgery by the dual reciprocity boundary element method
• On the solution of the nonlinear heat conduction equations by numerical methods
• Numerical Solution of Dual Phase Lag Model of Bioheat Transfer Using the General Boundary Element Method
• FREEZING OF BIOLOGICAL TISSUES DURING CRYOSURGERY USING HYPERBOLIC HEAT CONDUCTION MODEL

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