| Summary: | 碩士 === 遠東科技大學 === 機械研究所 === 98 === A basic understanding of the heat transport occurring in biological tissues during hyperthermia treatment is essential for its improvement. They are serious problems yet sufficiently cleared up. Especially, the temperature distribution inside as well as outside the target region must be known as function of the exposure time in order to provide a level of therapeutic temperature and, on the other hand, to avoid overheating and damaging of the surrounding normal tissue. In accordance with the contents of the literatures, thermal behavior in nonhomogenous media needs a relaxation time to accumulate enough energy to transfer to the nearest element. In reality, the living tissues are highly nonhomogenous, and the velocity of heat transfer in tissues should be limited. Therefore, it should be to pay more attention on the investigation for the non-Fourier effect of heat transfer in living tissues, and then effect the non-Fourier effect on the behavior of bio-heat transfer will be ensured.
For more complete results and helpfulness on the development of cancer therapy, this article studies the problem of the magnetic tumor hyperthermia with the space-dependent spherical heat source by using Fourier, Dual-Phase-Lag, and thermal wave models. Comparison among bio-heat transfer models and investigation to the effects of space-dependent heat source are made. The magnetic nanoparticles diffuse form the injected location in the radial direction, so the present problem becomes the bio-heat transfer problem in spherical coordinate. Essentially, there exists the mathematical difficulty for solving the non-Fourier bio-heat transfer problem in spherical coordinate. The mathematical difficulty of the present problem absolutely increases for the difference of the thermo-physical parameters between two layers and the Gaussian distribution source. This article develops a hybrid numerical scheme based on the Laplace transform, change of variables, and the modified discretization technique in conjunction with the hyperbolic shape functions for solving the present problem.
|
|---|
