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This article is cited in 2 scientific papers (total in 2 papers)
Numerical modeling of the cellular necrosis front localization effect during cutaneous cryosurgery
N. A. Kudryashov, K. E. Shilnikov National Research Nuclear University “MEPhI”, Department of Applied Mathematics
Abstract:
In this paper we consider the problem of planning and optimization of the tumor tissue destruction during cutaneous cryosurgery operations. The method of the additional heating elements mounting is proposed as an approach to control the cellular necrosis front propagation. Mathematical modeling and Pareto optimization of calculable functions is used for the effectiveness improvement of the proposed method. An explicit scheme based on the finite volume approximation of Pennes bioheat transfer model is applied together with the enthalpy method for blurred phase change computations. The flux relaxation method is used for the stability improvement of scheme.
Keywords:
cryosurgery, Pennes model, Pareto solution, finite volume method, flux relaxation method.
Received: 06.05.2015
Citation:
N. A. Kudryashov, K. E. Shilnikov, “Numerical modeling of the cellular necrosis front localization effect during cutaneous cryosurgery”, Matem. Mod., 28:4 (2016), 125–136; Math. Models Comput. Simul., 8:6 (2016), 680–688
Linking options:
https://www.mathnet.ru/eng/mm3725 https://www.mathnet.ru/eng/mm/v28/i4/p125
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Abstract page: | 380 | Full-text PDF : | 132 | References: | 55 | First page: | 12 |
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