Kudayeva F.Kh. A Mathematical Model of Low-Temperature Effects on Biological Tissues
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https://doi.org/10.15688/mpcm.jvolsu.2025.2.3
Fatimat Kh. Kudayeva
Candidate of Sciences (Physics and Mathematics), Associate Professor, Department of Applied Mathematics and Computer Science, Institute of Artificial Intelligence and Digital Technologies, Kabardino-Balkarian State University named after Kh.M. Berbekov
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https://orcid.org/0000-0002-1026-3280
Chernyshevskogo St, 173, 360004 Nalchik, Russian Federation
Abstract. The work is devoted to modeling the process of low-temperature impact on biotissues during tissue destruction by spherical and hemispherical applicators in a one-dimensional approximation. A stationary problem with phase transitions is solved for a model based on an Emden-Fowler equation. The solution to the non-stationary problem is found as a sum of thermal potentials. The algorithms that formed the basis of the software packages are discussed. Some numerical solutions under various conditions are given. A mathematical model of hypothermia based on an integral equation is constructed
Key words: mathematical model, problem with phase transitions, integral equations, finite difference analogue, approximation.
A Mathematical Model of Low-Temperature Effects on Biological Tissues by Kudayeva F.Kh. is licensed under a Creative Commons Attribution 4.0 International License.
Citation in English: Mathematical Physics and Computer Simulation. Vol. 28 No. 2 2024, pp. 27-38
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