Simulation of the thermal wave propagation in biological tissues by the dual reciprocity boundary element method

Abstract The dual reciprocity boundary element method (DRBEM) is extended to simulate the thermal wave propagation in biological tissues. A deep insight into the thermal wave behaviors, like reflection, decay, phase jumping, superposition and resolution etc. in a two-dimensional zone under certain boundary conditions is obtained. Certain conditions for applying the effects of thermal waves to address some complicated biothermal problems as well as to identify the thermal states of living tissues are thus detailed. Due to DRBEM's unique advantages, such as not being confined by the complex shape of biological bodies and thus not needing to discretize the inner domain, can save vast CPU time and easily deal with complex bioheat models. Therefore, DRBEM may possibly become an important method for predicting and controlling the temperature evolution in biological bodies under hyperthermia or hypothermia.

[1]  C. Brebbia,et al.  Boundary Elements IX , 1987 .

[2]  Hyperbolic heat conduction with convection boundary conditions and pulse heating effects , 1991 .

[3]  C. Chan,et al.  Boundary element method analysis for the bioheat transfer equation. , 1992, Journal of biomechanical engineering.

[4]  D. Frayce,et al.  A DUAL RECIPROCITY BOUNDARY ELEMENT APPROACH TO THREE-DIMENSIONAL TRANSIENT HEAT CONDUCTION AS APPLIED TO MATERIALS PROCESSING , 1996 .

[5]  Z. Ren,et al.  Generalized time delay bioheat equation and preliminary analysis on its wave nature , 1997 .

[6]  Han-Taw Chen,et al.  Study of Hyperbolic Heat Conduction With Temperature-Dependent Thermal Properties , 1994 .

[7]  L. Jing,et al.  Boundary Element Method (BEM) for Solving Normal or Inverse Bio-heat Transfer Problem of Biological Bodies with Complex Shape , 1995 .

[8]  Boundary element analysis of three kinds of gas-liquid free surface problem , 1997 .

[9]  Local heating induced by a nonhomogeneously distributed heat source , 1993 .

[10]  P. W. Partridge,et al.  The dual reciprocity boundary element method , 1991 .

[11]  W. Kaminski.  Hyperbolic heat conduction equation for materials with a nonhomogeneous inner structure , 1990 .

[12]  A. V. Luikov,et al.  Application of irreversible thermodynamics methods to investigation of heat and mass transfer , 1966 .

[13]  M. K. Moallemi,et al.  Experimental evidence of hyperbolic heat conduction in processed meat , 1995 .

[14]  W. Kaminski,et al.  A MATHEMATICAL MODEL OF CONVECTION DRYING IN THE FALLING DRYING RATE PERIOD , 1988 .

[15]  Louis G. Hector,et al.  Propagation and reflection of thermal waves in a finite medium due to axisymmetric surface sources , 1992 .

[16]  Reflection and refraction of thermal waves from a surface or an interface between dissimilar materials , 1993 .

[17]  Robert B. Roemer,et al.  Inference of Complete Tissue Temperature Fields from a Few Measured Temperatures: An Unconstrained Optimization Method , 1984, IEEE Transactions on Biomedical Engineering.

[18]  A technique for identifying the total space or temperature dependent thermal parameters (TITP) of biological materials in vivo. , 1996, IEEE transactions on bio-medical engineering.

[19]  Brian Vick,et al.  Propagation and reflection of thermal waves in a finite medium , 1984 .