U.S.-France Cooperative Research: Modelling and Interrogation of Cancellous Bone

美法合作研究：松质骨的建模和研究

• 批准号: 0438765
• 负责人: Robert Gilbert
• 金额: $ 2.25万
• 依托单位: University of Delaware
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-05-15 至 2009-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0438765&HistoricalAwards=false
• 关键词: U.S.; France; Cooperative; Research; Modelling

This proposal requests funding for a US-France cooperative research project modeling cancellous bone and then testing these models against ultrasound data. The US team, led by Robert Gilbert of the University of Delaware, is comprised of applied mathematicians with expertise in modeling, differential equations, and inverse problems. The French team, with participants at Institute de la Sante et de la Recherche Medicale (INSERM) and Ondes Elastiques: Problemes Directs et Inverses (OEPDI) are experimentalists and will test the models that are generated by the American team. Intellectual MeritThe mathematical methodology utilized will be the theory of homogenization, inverse problems, and inverse homogenization. The American research team is planning to address the problems representing two major mathematical challenges in biology, namely homogenization of evolution equations of biological tissue involving nonlinear modeling rates of the trabeculae, and the correlation of trabeculae microstructure with the analysis of the ultrasound response of the composite bone matrix. Broader ImpactsThis award is a collaboration leveraging the expertise in mathematical modeling of the US participants, the expertise in diagnostic and therapeutic applications of ultrasound of the French INSERM participants, and the expertise in asymptotic, numerical, and experimental methods of the French OEPDI participants. Outcome of this work will be useful for understanding, treating, and preventing osteoporosis, a growing problem in the US. The collaboration will further the research and global training of a graduate student.

该提案要求为一项美法合作研究项目提供资金，该项目对松质骨进行建模，然后根据超声数据对这些模型进行测试。 由特拉华州大学的罗伯特吉尔伯特领导的美国团队由在建模、微分方程和反问题方面具有专长的应用数学家组成。 法国团队，与研究所de la Sante et de la Recherche Medicale（CNOMM）和Ondes Elastiques：Problemes Directs et Inverses（OEPDI）的参与者是实验者，将测试美国团队生成的模型。 智力MeritThe数学方法将利用均匀化理论，逆问题，逆均匀化。 美国研究小组正计划解决生物学中两个主要数学挑战的问题，即涉及骨小梁非线性建模速率的生物组织演化方程的均匀化，以及骨小梁微观结构与复合骨基质超声响应分析的相关性。 更广泛的影响这个奖项是一个合作，利用美国参与者的数学建模的专业知识，在诊断和超声治疗应用的法国CNOMM参与者的专业知识，以及在渐近，数值和实验方法的法国OEPDI参与者的专业知识。 这项工作的结果将有助于了解，治疗和预防骨质疏松症，在美国日益严重的问题。 这项合作将进一步促进研究生的研究和全球培训。