Geodesic
Numerical modeling of the cellular necrosis front localization effect during cutaneous cryosurgery
Matematičeskoe modelirovanie, Tome 28 (2016) no. 4, pp. 125-136

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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, finite volume method, flux relaxation method.
Mots-clés : Pareto solution 
@article{MM_2016_28_4_a9,
     author = {N. A. Kudryashov and K. E. Shilnikov},
     title = {Numerical modeling of the cellular necrosis front localization effect during cutaneous cryosurgery},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {125--136},
     publisher = {mathdoc},
     volume = {28},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2016_28_4_a9/}
}
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N. A. Kudryashov; K. E. Shilnikov. Numerical modeling of the cellular necrosis front localization effect during cutaneous cryosurgery. Matematičeskoe modelirovanie, Tome 28 (2016) no. 4, pp. 125-136. http://geodesic.mathdoc.fr/item/MM_2016_28_4_a9/