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<p>In this paper, we present a new mathematical model of freezing a living biological tissue by a rectangular cryoapplicator and a method for its numerical study based on the use of local one-dimensional difference schemes. The model is a three-dimensional three-phase boundary-value Stefantype problem and has applications in cryosurgery. A special nonlinear dependence of heat sources on the unknown temperature field allows one to take into account the spatial effect of heat localization.</p>

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On One Model of Freezing Biological Living Tissues

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • B. K. Buzdov

摘要

In this paper, we present a new mathematical model of freezing a living biological tissue by a rectangular cryoapplicator and a method for its numerical study based on the use of local one-dimensional difference schemes. The model is a three-dimensional three-phase boundary-value Stefantype problem and has applications in cryosurgery. A special nonlinear dependence of heat sources on the unknown temperature field allows one to take into account the spatial effect of heat localization.