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

这个子项目是许多利用资源的研究子项目之一 由NIH/NCRR资助的中心拨款提供。子项目的主要支持 而子项目的主要调查员可能是由其他来源提供的， 包括其它NIH来源。 列出的子项目总成本可能 代表子项目使用的中心基础设施的估计数量， 而不是由NCRR赠款提供给子项目或子项目工作人员的直接资金。 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. Primary support for the subproject and the subproject's principal investigator may have been provided by other sources, including other NIH sources. The Total Cost listed for the subproject likely represents the estimated amount of Center infrastructure utilized by the subproject, not direct funding provided by the NCRR grant to the subproject or subproject staff. 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.