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

玻尔兹曼方程的格林函数解决光子迁移问题

• 批准号: 8362622
• 负责人: VASAN VENUGOPALAN
• 金额: $ 0.31万
• 依托单位: UNIVERSITY OF CALIFORNIA-IRVINE
• 依托单位国家: 美国
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-04-01 至 2012-03-31
• 项目状态: 已结题
• 来源: https://reporter.nih.gov/project-details/8362622
• 关键词: Address; Biotechnology; Development; Equation; Funding; Grant; Immigration; Lasers; Mathematics; Modeling; National Center for Research Resources; Photons; Principal Investigator; Problem Solving; Research; Research Infrastructure; Resources; Solutions; Source; Tissues; United States National Institutes of Health; Work; base; cost; migration; simulation; virtual; Address; Biotechnology; Development; Equation; Funding; Grant; Immigration; Lasers; Mathematics; Modeling; National Center for Research Resources; Photons; Principal Investigator; Problem Solving; Research; Research Infrastructure; Resources; Solutions; Source; Tissues; United States National Institutes of Health; Work; base; cost; migration; simulation; virtual

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.

该副本是利用资源的众多研究子项目之一 由NIH/NCRR资助的中心赠款提供。对该子弹的主要支持 而且，副投影的主要研究员可能是其他来源提供的 包括其他NIH来源。 列出的总费用可能 代表subproject使用的中心基础架构的估计量， NCRR赠款不直接向子弹或副本人员提供的直接资金。 应用数学的最​​新发展为Boltmann传输方程（BTE）产生了分析性Green的功能，该功能为浊度介质中的光子迁移提供了确切的描述。使用绿色功能而不是蒙特卡洛模拟有望用较少的计算费用来对重要问题进行建模。我们正在研究利用这种解决方案的方法来解决使用这种方法中均质和异质组织中光子迁移的重要前进和反向问题。我们还致力于将基于绿色的函数的ERT内核整合到虚拟组织模拟器的求解器模块中。