An Algorithm of Mathematical Modeling of Laser-Induced Indirect Thermotherapy of a Baker’s Cyst

• Published in: Biophysics (Oxford) 2019-07, Vol.64 (4), p.657-661
• Main Authors: Gorbatov, V. I., Chernyadiev, S. A., Zhilyakov, A. V., Korobova, N. Ju, Sivkova, N. I., Aretinsky, V. B.
• Format: Article
• Language: English
• Subjects: Biological and Medical Physics; Biophysics; Complex Systems Biophysics; Cysts; Heat transfer; Laser radiation; Lasers; Magnetic resonance imaging; Mathematical models; Physics; Physics and Astronomy; Thermotherapy; Tumors
• ISSN: 0006-3509; 1555-6654
• DOI: 10.1134/S0006350919040043

—A thermophysical model of heat transfer from a liquid heated by radiation into biological tissues with a cyst of an individual picture of temperature fields, which takes the parameters of laser radiation, as well as the individual thermodynamic and morphometric characteristics of the object of exposure and its syntopy, into account, is proposed. The model is designed for algorithmization of performance of laser-induced indirect thermotherapy of cavity tumors. A comparison was made between the theoretical prediction of the dynamics of temperature changes in the wall of a Baker’s cyst and the experimental data obtained using a thin needle thermocouple placed through a needle in the center of a cyst filled with liquid, whose dimensions had been previously determined by magnetic resonance imaging. It was shown that at the heat transfer coefficient of 3000 W/(m 2  K) the proposed model described the heating of the cyst contents due to heat transfer from its inner wall accurately.