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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2023 Volume 23, Number 1, Pages 134–137 (Mi dvmg512)

Mathematical modeling of heat transfer in biological fluids during laser thermotherapy of cysts

D. A. Tereshko, A. P. Kudryashov

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok

Abstract: The paper proposes a mathematical model of heat transfer by a jet of hot liquid that occurs during laser thermotherapy of cysts. This model is semiempirical, since the hot jet is set using sources obtained from the analysis of experimental data. Based on this model, a series of computational experiments were carried out for different laser powers.

Key words: partial differential equations, numerical simulation, heat and mass transfer in liquids, applications in medicine.

UDC: 517.957, 532.5

MSC: Primary 35Q79; Secondary 76D05

Received: 12.09.2022

DOI: 10.47910/FEMJ202311



© Steklov Math. Inst. of RAS, 2024