Expanding the Bioheat Equation to Include Tissue Internal Water Evaporation During Heating

We propose a new method to study high temperature tissue ablation using an expanded bioheat diffusion equation. An extra term added to the bioheat equation is combined with the specific heat into an effective (temperature dependent) specific heat. It replaces the normal specific heat term in the modified bioheat equation, which can then be used at temperatures where water evaporation is expected to occur. This new equation is used to numerically simulate the microwave ablation of bovine liver and is compared to experimental ex vivo results.

[1]  A general mathematical modelling for heat and mass transfer in unsaturated porous media: an application to free evaporative cooling , 1995 .

[2]  F. Duck.  Physical properties of tissue , 1990 .

[3]  É. N. Sobol',et al.  Influence of the Mass Transfer of Water in Cartilaginous Tissue on the Temperature Field Induced by Laser Radiation , 2003 .

[4]  Li Su,et al.  Computer-aided dynamic simulation of microwave-induced thermal distribution in coagulation of liver cancer , 2001, IEEE Trans. Biomed. Eng..

[5]  Kazuyuki Saito,et al.  Heating characteristics of array applicator composed of two coaxial-slot antennas for microwave coagulation therapy , 2000 .

[6]  Hans Janestad,et al.  A model for simultaneous heat, water and vapour diffusion , 1999 .

[7]  E. Wissler,et al.  Pennes' 1948 paper revisited. , 1998, Journal of applied physiology.

[8]  J. Lienhard.  A heat transfer textbook , 1981 .

[9]  Yi Li,et al.  Radiation and conduction heat transfer coupled with liquid water transfer, moisture sorption, and condensation in porous polymer materials , 2003 .

[10]  John G. Webster,et al.  Measurement and Analysis of Tissue Temperature During Microwave Liver Ablation , 2007, IEEE Transactions on Biomedical Engineering.

[11]  J Crezee,et al.  Experimental verification of bioheat transfer theories: measurement of temperature profiles around large artificial vessels in perfused tissue. , 1990, Physics in medicine and biology.

[12]  Steven L. Jacques.  Finite-difference modeling of laser ablation of tissue , 1993, Photonics West - Lasers and Applications in Science and Engineering.

[13]  P. Sluimer,et al.  A quantitative model for heat transport in dough and crumb during baking , 1988 .

[14]  Thomas E. Milner,et al.  Heating and structural alterations in cartilage under laser radiation , 1999 .

[15]  J W Hunt,et al.  Experimental evaluation of two simple thermal models using transient temperature analysis. , 1998, Physics in medicine and biology.

[16]  K. Sreenivasan,et al.  Water vaporization from heated tissue: An in vitro study by differential scanning calorimetry , 1996, Lasers in surgery and medicine.

[17]  H. Arkin,et al.  Recent developments in modeling heat transfer in blood perfused tissues , 1994, IEEE Transactions on Biomedical Engineering.