Abstract

The thermal processes occurring in the procedure of endovenous laser ablation are studied on the basis of an initial-boundary value problem for the model of radiation-conductive heat transfer. The optimal control problem consisting in the approximation of an initial-boundary value problem solution to a specified temperature profile at a certain point of the model domain is formulated. The source powers spent on the radiation and heating of the carbonized optical fiber tip are taken as control parameters. An iterative algorithm of solving the formulated problem is proposed and numerically implemented.

中文翻译：

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腔内激光消融的最佳控制

摘要

在辐射传导传热模型的初始边界值问题的基础上，研究了在静脉激光烧蚀过程中发生的热过程。提出了一种最优控制问题，该最优控制问题包括在模型域的某个点上将初始边界值问题解近似到指定的温度曲线。花在碳化光纤头的辐射和加热上的源功率被当作控制参数。提出并求解了求解该问题的迭代算法。