Numerical simulation for heat transfer in tissues during thermal therapy

被引：113

作者：

Gupta, Praveen Kumar ^{[1
]}

Singh, Jitendra ^{[1
]}

Rai, K. N. ^{[1
]}

机构：

[1] Banaras Hindu Univ, Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India

来源：

JOURNAL OF THERMAL BIOLOGY | 2010年 / 35卷 / 06期

关键词：

Modified Penne's bioheat transfer equation; Spherical symmetric coordinate; Axisymmetric coordinate; Cartesian coordinate; B-polynomial; Galerkin method; Homotopy perturbation method; HOMOTOPY PERTURBATION METHOD; PARTIAL-DIFFERENTIAL-EQUATIONS; NONLINEAR PROBLEMS; BIOHEAT EQUATION; POROUS-MEDIA; HYPERTHERMIA; MODEL; BIFURCATION; TRANSPORT; FLOW;

D O I：

10.1016/j.jtherbio.2010.06.007

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, a mathematical model describing the process of heat transfer in biological tissues for different coordinate system during thermal therapy by electromagnetic radiation is studied. The boundary value problem governing this process has been solved using Galerkin's method taking B-polynomial as basis function. The system of ordinary differential equation in unknown time variable, thus obtained, is solved by homotopy perturbation method. The effect of thermal conductivity, antenna power constant, surface temperature, and blood perfusion rate on temperature for different coordinates are discussed. It has been observed that the process is faster in spherical symmetric coordinates in comparison to axisymmetric coordinate and faster in axisymmetric in comparison to Cartesian coordinate. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：295 / 301

页数：7

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