This mathematical model explores phase transitions in biological tissues under low-temperature effects, suggesting new insights into hypothermia treatment.
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.
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Azret A. Bishenov (2025) studied this question.
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