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A numerical study of a 3D bioheat transfer problem with different spatial heating. (English) Zbl 1062.92018
Summary: We develop numerical methods for computer simulation and modeling of a three dimensional heat transfer problem in biological bodies. The technique is intended for temperature predications and parameter measurements in thermal medical practices and for studies of thermomechanical interaction of biological bodies at high temperature.
We examine a mathematical model based on the classical well-known Pennes equation for heat transfer in biological bodies. A finite difference discretization scheme is used to discretize the governing partial differential equation. A preconditioned iterative solver is employed to solve the resulting sparse linear system at each time step. Numerical results are obtained to demonstrate the efficacy of the proposed numerical methods.

92C30 Physiology (general)
80A20 Heat and mass transfer, heat flow (MSC2010)
65N06 Finite difference methods for boundary value problems involving PDEs
92C50 Medical applications (general)
Full Text: DOI
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