ITR/Comp Bio: Computational Tools for Inverse Electromagnetic Problems

ITR/Comp Bio：反电磁问题的计算工具

• 批准号: 0112742
• 负责人: Paul Schimpf
• 金额: $ 40万
• 依托单位: Washington State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-09-01 至 2006-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0112742&HistoricalAwards=false
• 关键词: ITR; Comp; Bio; Computational; Tools

EIA-0112742Schimpf, PaulWashington State UniversityITR/Comp Bio: Computational Tools for Inverse Electromagnetic ProblemsThe principal investigator previously developed an adaptive algorithm for solving the Poisson problem in complex three-dimensional domains. This algorithm found immediate applicationin modeling the electric field produced by surgically implanted defibrillators as a guide to electrode placement for the cardiologist, where the algorithm reduced solution times from 3 hours to less than 10 minutes.A logical next step is the pursuit of more demanding applications, such as those with an inverse problem formulation. The inverse problem seeks to identify volume energy sources on the basisof electric field measurements on the surface or magnetic field measurements outside of the modeled domain. In general, there is no unique solution unless some a-priori knowledge of thesources is exploited. Inverse problems can be formulated for many applications with domainsgoverned by partial differential equations. They are computationally intensive because many forward computations are typically required for a solution to the inverse problem.The primary aim of this work is to develop an efficient and practical inverse algorithm based on a hierarchical spatial decomposition of the domain, integrate it with the existing forward algorithm, and disseminate it to researchers with a need to solve such problems. Cardiology and neurology are examples of two fields that can benefit from the availability of such tools. In clinical applications, these tools can prove invaluable in the diagnosis and treatment of disease. In research applications, these tools can improve our knowledge of the fundamental behavior of the system.

EIA-0112742Schimpf，Paul华盛顿州立大学ITR/Comp Bio：逆电磁问题的计算工具首席研究员之前开发了一种自适应算法，用于解决复杂三维域中的泊松问题。 该算法立即应用于对手术植入的除颤器产生的电场进行建模，作为心脏病专家电极放置的指南，该算法将求解时间从 3 小时减少到不到 10 分钟。下一步合乎逻辑的是追求更高要求的应用，例如具有逆问题公式的应用。反问题寻求基于表面上的电场测量或建模域外部的磁场测量来识别体积能量源。一般来说，除非利用一些关于源的先验知识，否则不存在唯一的解决方案。 对于许多具有偏微分方程控制域的应用，可以用公式表示反问题。它们是计算密集型的，因为解决逆问题通常需要许多正向计算。这项工作的主要目的是开发一种基于域的层次空间分解的高效实用的逆算法，将其与现有的正向算法集成，并将其传播给需要解决此类问题的研究人员。 心脏病学和神经病学是可以从此类工具的可用性中受益的两个领域的例子。 在临床应用中，这些工具在疾病的诊断和治疗中具有无价的价值。在研究应用中，这些工具可以提高我们对系统基本行为的了解。