Dual-phase lag model of heat transfer between blood vessel and biological tissue

DOI10.3934/MBE.2021081zbMath1471.92045OpenAlexW3126266451MaRDI QIDQ1981084

Mikołaj Stryczyński, Ewa Majchrzak

Publication date: 9 September 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2021081

zbMATH Keywords

finite difference methoddual-phase lag modelbioheat transferthermal interaction between blood vessel and tissue

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Biophysics (92C05)

Cites Work

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• An introduction to fluid mechanics and transport phenomena
• Generalized dual-phase lag bioheat equations based on nonequilibrium heat transfer in living biological tissues
• Study of heat transfer in multilayered structure within the framework of dual-phase-lag heat conduction model using lattice Boltzmann method
• Influence of pulsatile blood flow and heating scheme on the temperature distribution during hyperthermia treatment
• Integro-differential form of the first-order dual phase lag heat transfer equation and its numerical solution using the Control Volume Method

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