A Mathematical Model of Low-Temperature Effects on Biological Tissues

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.