期刊
JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS
卷 15, 期 4, 页码 33-38出版社
CZESTOCHOWA UNIV TECHNOLOGY, INST MATHEMATICS
DOI: 10.17512/jamcm.2016.4.04
关键词
bioheat transfer; Pennes equation; Cattaneo-Vernotte equation; numerical modeling of heating process; finite difference method
类别
资金
- National Science Centre (Poland) [2015/19/B/ST8/01101]
The homogeneous soft tissue domain subjected to an external heat source is considered. Thermal processes in this domain are described using the well known Pennes equation and next the Cattaneo-Vernotte one. Within recent years the prevailing view is that the Cattaneo-Vernotte equation better describes the thermal processes proceeding in the biological tissue (it results from the specific internal tissue structure). Appearing in this equation the delay time of heat flux with respect to the temperature gradient (tau(q)) is of the order of several seconds and the different values of tau(q) are taken into account. At the stage of numerical modeling the finite difference method is used. In the final part of the paper, the examples of computations are shown.
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