Analytically solving a three-dimensional （3-D） bioheat transfer problem with phase change during a freezing process is extremely difficult but theoretically important. The moving heat source model and the Green func...Analytically solving a three-dimensional （3-D） bioheat transfer problem with phase change during a freezing process is extremely difficult but theoretically important. The moving heat source model and the Green function method are introduced to deal with the cryopreservation process of in vitro biomaterials. Exact solutions for the 3-D temperature transients of tissues under various boundary conditions, such as totally convective cooling, totally fixed temperature cooling and a hybrid between them on tissue surfaces, are obtained. Furthermore, the cryosurgical process in living tissues subject to freezing by a single or multiple cryoprobes is also analytically solved. A closed-form analytical solution to the bioheat phase change process is derived by considering contributions from blood perfusion heat transfer, metabolic heat generation, and heat sink of a cryoprobe. The present method is expected to have significant value for analytically solving complex bioheat transfer problems with phase change.展开更多
本文提出了一种数值求解人体生物热方程时边界条件的处理方法,该方法以生物传热学理论为基础,通过引入“当量皮肤温度”T_(tb),对皮肤层内的生物热方程作了适当修改,并且推导出了采用交替变换方向法(Alternating direction implicit met...本文提出了一种数值求解人体生物热方程时边界条件的处理方法,该方法以生物传热学理论为基础,通过引入“当量皮肤温度”T_(tb),对皮肤层内的生物热方程作了适当修改,并且推导出了采用交替变换方向法(Alternating direction implicit method)求解人体温度场时,边界节点的离散方程。展开更多
基金Project supported by the National Natural Science Foundation of China (No. 50776097)
文摘Analytically solving a three-dimensional （3-D） bioheat transfer problem with phase change during a freezing process is extremely difficult but theoretically important. The moving heat source model and the Green function method are introduced to deal with the cryopreservation process of in vitro biomaterials. Exact solutions for the 3-D temperature transients of tissues under various boundary conditions, such as totally convective cooling, totally fixed temperature cooling and a hybrid between them on tissue surfaces, are obtained. Furthermore, the cryosurgical process in living tissues subject to freezing by a single or multiple cryoprobes is also analytically solved. A closed-form analytical solution to the bioheat phase change process is derived by considering contributions from blood perfusion heat transfer, metabolic heat generation, and heat sink of a cryoprobe. The present method is expected to have significant value for analytically solving complex bioheat transfer problems with phase change.
文摘本文提出了一种数值求解人体生物热方程时边界条件的处理方法,该方法以生物传热学理论为基础,通过引入“当量皮肤温度”T_(tb),对皮肤层内的生物热方程作了适当修改,并且推导出了采用交替变换方向法(Alternating direction implicit method)求解人体温度场时,边界节点的离散方程。
