A numerical algorithm for obtaining an optimal temperature distribution in a 3D triple layered cylindrical skin structure
Abstract
In recent years, there has been interest in research related to hyperthermia combined with radiation and cytotoxic drugs to enhance the killing of tumors. The objective is to control laser heating of the tumor so that the temperature of the normal tissue surrounding the tumor remains low enough so as.. not to cause damage to the tissue. To achieve this objective, it is important to obtain an optimal temperature field of the entire treatment region. In this paper, we develop a numerical algorithm for obtaining an optimal temperature distribution in a 3D triple layered cylindrical skin structure by pre-specifying the temperatures to be obtained at the center and perimeter of the treated region on the skin surface. The method is comprised of designing a laser irradiation pattern, solving a 3D Pennes' bioheat equation by a numerical scheme, and optimizing the laser power.
References
[2] S.T. Clegg, R.B. Roemer. Predictions of three-dimensional temperature distributions during hyperthermia experiments. ASME Heat Transfer Division, 126: 29-35, 1989.
[3] W. Dai, G. Li, R. Nassar, T . Zhu. A domain decomposition method for solving the Pennes' bioheat transfer in a 3D triple-layered skin structure. Proceedings of the Second M.I. T. Conference on Computational Fluid and Solid Mechanics, MIT, Boston, 2: 1650-1659, June 17-20, 2003.
[4] W. Dai, H. Yu, R. Nassar, T. Zhu. A fourth-order compact finite difference scheme for solving a 1-D Pennes' bioheat transfer equation in a uniform tissue. Proceedings of the 2003 International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences, Las Vegas, Nevada, 336-339, June 23-26, 2003.
[5] W. Dai, H. Yu, R. Nassar. A fourth-order compact finite difference scheme for solving a 1-D Pennes' bioheat transfer equation in a triple-layered skin structure. Numerical Heat Transfer, 46: 447-461, 2004.
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