Numerical solution of the multidimensional freezing problem during cryosurgery
Numerical solution of the multidimensional freezing problem during cryosurgery
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DOI：
10.1115/1.2834304
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发表时间：
1998-02-01
影响因子：
1.7
通讯作者：
Shitzer, A
中科院分区：
文献类型：
--
作者：
Rabin, Y;Shitzer, A
本文提出了一种多维有限差分数值计算方法，用于模拟冷冻外科手术中生物组织的冷冻过程，它是对早期无生命材料数值计算方法的改进。组织被视为非理想材料，在一定温度范围内冻结并具有温度依赖的热物理性质、血液灌注和代谢产热。数值方案基于有效比热的应用，取代固有性质，以包括相变温度范围内的潜热效应，数值解的结果与笛卡尔坐标系下一维Stefan反问题的精确解进行了验证，并与文献中的实验数据进行了验证.数值解的设计和应用的cryodevices的效用证明了周围的球形和圆柱形冷冻探针的冷冻过程的参数研究。研究的参数是冷冻探针的冷却功率和冷冻区域的尺寸。计算结果为典型的热物理性质的软生物组织，血管瘤和水。
A multidimensional, finite difference numerical scheme for the freezing process of biological tissues during cryosurgery is presented, which is a modification of an earlier numerical solution for inanimate materials. The tissues are treated as nonideal materials, freezing over a temperature range and possessing temperature-dependent thermophysical properties, blood perfusion, and metabolic heat generation, The numerical scheme is based on the application of an effective specific heat, substituting the intrinsic property, to include the latent heat effect within the phase transition temperature range, Results of the numerical solution were verified against an existing exact solution of a one-dimensional inverse Stefan problem in Cartesian coordinates, Results were further validated against experimental data available from the literature. The utility of the numerical solution for the design and application of cryodevices is demonstrated by parametric studies of the freezing processes around spherical and cylindrical cryoprobes. The parameters studied are the cryoprobe cooling power and the dimensions of the frozen region. Results are calculated for typical thermophysical properties of soft biological tissues, for angioma and for water.