GREEN?S FUNCTION OF THE BOLTZMANN EQUATION TO SOLVE PROBLEMS IN PHOTON MIGRATION

这个子项目是许多研究子项目中的一个 由NIH/NCRR资助的中心赠款提供的资源。子项目和 研究者（PI）可能从另一个NIH来源获得了主要资金， 因此可以在其他CRISP条目中表示。所列机构为 研究中心，而研究中心不一定是研究者所在的机构。 应用数学的最新发展给出了玻尔兹曼输运方程（BTE）的解析绿色函数，它为混浊介质中的光子迁移提供了精确的描述。使用一个绿色的功能，而不是蒙特卡罗模拟承诺模型的重要问题，少得多的计算费用。我们正在研究的方法，利用这种解决方案来解决重要的正向和反向问题的光子迁移在均匀和异质组织使用这种方法。我们还致力于将基于绿色函数的ERT内核纳入虚拟组织模拟器的求解器模块。

This subproject is one of many research subprojects utilizing the resources provided by a Center grant funded by NIH/NCRR. The subproject and investigator (PI) may have received primary funding from another NIH source, and thus could be represented in other CRISP entries. The institution listed is for the Center, which is not necessarily the institution for the investigator. Recent developments in applied mathematics have yielded an analytic Green's function to the Boltmann Transport Equation (BTE) which provides an exact description for photon migration in turbid media. The use of a Green's function rather than Monte Carlo simulations promises to model important problems with much less computational expense. We are investigating approaches to utilizing this solutions to address important forward and inverse problems of photon migration in homogeneous and heterogeneous tissues using this approach. We are also working on incorporating the Green's function based ERT kernel into the Solver module of the Virtual Tissue Simulator.