GREEN'S FUNCTION OF THE BOLTZMANN TRANSPORT EQUATION TO SOLVE FORWARD AND INVER

玻尔兹曼输运方程的格林函数求解正向和逆向

• 批准号: 7365622
• 负责人: VASAN VENUGOPALAN
• 金额: $ 0.39万
• 依托单位: UNIVERSITY OF CALIFORNIA-IRVINE
• 依托单位国家: 美国
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-04-01 至 2007-03-31
• 项目状态: 已结题
• 来源: https://reporter.nih.gov/project-details/7365622
• 关键词: GREEN; FUNCTION; BOLTZMANN; TRANSPORT; EQUATION

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 solution to address important forward and inverse problems of photon migration in homogeneous and heterogeneous tissues using this approach.

这个子项目是利用由NIH/NCRR资助的中心拨款提供的资源的许多研究子项目之一。子项目和调查员(PI)可能从另一个NIH来源获得了主要资金，因此可能会出现在其他CRISE条目中。列出的机构是针对中心的，而不一定是针对调查员的机构。应用数学的最新发展为玻尔特曼输运方程(BTE)提供了一个解析格林函数，它为光子在混浊介质中的迁移提供了准确的描述。使用格林函数而不是蒙特卡罗模拟有望以更少的计算费用来模拟重要的问题。我们正在研究利用这种解决方案来解决同质和异质组织中光子迁移的重要正反问题的方法。