连续波激光作用于生物组织中的一维瞬态热传导方程定解问题

Research on the Specific Solutions in Instantaneous Form for One Dimensional Equation of Heat Transfer in Biological Tissue Caused by CW Laser

根据激光热源在生物组织中热传导的实际情况 ,提出一维热传导方程的一类边界条件和初始条件。采用数学物理方程定解求法分别得出有血流散热和无血流散热两种情况下一维瞬态温度时空分布的解析函数表达式 ,适合于生物组织没有发生汽化的传热过程 。

Based on the practice of the heat transfer in biological caused by laser thermal source, the boundary condition and initial condition of type 1 were put forward. The mathematical physics method had been used to derived out the analytical functions of one-dimensional rules for instantaneous temperature in time space under the circumstances with or without bloodstream cooling,which are suitable for the heat transfer processes without vaporizing. The results could be used to provide the theoretical bases for medical applications of laser heat effects.