Exact analysis for propagation of heat in a biological tissue subject to different surface conditions for therapeutic applications

DOI10.1016/j.amc.2016.03.037zbMath1410.74047OpenAlexW2337628613MaRDI QIDQ1733496

Balaram Kundu

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.03.037

zbMATH Keywords

thermal therapyanalyticalbiological tissuenon-Fourier heat transfertemperature response

Mathematics Subject Classification ID

Medical applications (general) (92C50) Biophysics (92C05) Biomechanical solid mechanics (74L15)

Related Items (5)

A Numerical-Analytical Method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer ⋮ HEAT TRANSFER OF MHD OLDROYD-B FLUID WITH RAMPED WALL VELOCITY AND TEMPERATURE IN VIEW OF LOCAL AND NONLOCAL DIFFERENTIAL OPERATORS ⋮ Exact analysis for the temperature response in tumours for three-dimensional heat transfer during the therapeutic time ⋮ Exact analysis based on BDLTNE approach for thermal behaviour in living tissues during regional hyperthermia therapy ⋮ Steady and unsteady analytical solutions of three-dimensional heat transfer in a multi-layer and porous skin tissue

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the 2D bioheat equation with convective boundary conditions and its numerical realization via a highly accurate approach
• An inverse hyperbolic heat conduction problem in estimating surface heat flux of a living skin tissue
• Generalized dual-phase lag bioheat equations based on nonequilibrium heat transfer in living biological tissues
• Boundary information based diagnostics on the thermal states of biological bodies
• Implementation of smoothed-particle hydrodynamics for non-linear Pennes' bioheat transfer equation
• Simulation of the thermal wave propagation in biological tissues by the dual reciprocity boundary element method
• Solution of the heat transfer problem in tissues during hyperthermia by finite difference-decomposition method
• Blood perfusion-based model for characterizing the temperature fluctuation in living tissues

This page was built for publication: Exact analysis for propagation of heat in a biological tissue subject to different surface conditions for therapeutic applications