Free boundary model for local thermal coagulation: growth of a spherical and cylindrical necrosis domain

Igor A. Lubashevsky; Alexander V. Priezzhev; Vasyl V. Gafiychuk

doi:10.1117/12.275501

16 June 1997 Free boundary model for local thermal coagulation: growth of a spherical and cylindrical necrosis domain

Igor A. Lubashevsky, Alexander V. Priezzhev, Vasyl V. Gafiychuk

Proceedings Volume 2975, Laser-Tissue Interaction VIII; (1997) https://doi.org/10.1117/12.275501
Event: BiOS '97, Part of Photonics West, 1997, San Jose, CA, United States

Abstract

In the present paper basing ont he free boundary model proposed previously we analyze the characteristic properties of local thermal coagulation depending on the applicator form. This model assumes that direct absorption of laser light in a small region causes the temperature to attain sufficiently high values leading to the immediate tissue coagulation. Heat diffusion into the surrounding live tissue gives rise to further thermal coagulation and the subsequent growth of the necrosis domain. Keeping in mind the possible forms of applicators we study the necrosis growth considering the heat generation rate of the cylindrical and spherical symmetry. In particular, it is shown that for the 3D case the necrosis growth exhibits saturation when thermal coagulation is limited by heat diffusion. For the 2D case heat diffusion provides continuous growth of the necrosis domain during the whole time of thermotherapy treatment. It turns out that the time dependence of the temperature in the region where thermal coagulation is under way is practically insensitive to particular details of the growth conditions.

Citation Download Citation

Igor A. Lubashevsky, Alexander V. Priezzhev, and Vasyl V. Gafiychuk "Free boundary model for local thermal coagulation: growth of a spherical and cylindrical necrosis domain", Proc. SPIE 2975, Laser-Tissue Interaction VIII, (16 June 1997); https://doi.org/10.1117/12.275501

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