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.

该提案要求为美法合作研究项目提供资金，该项目模拟松质骨，然后根据超声数据测试这些模型。 美国团队由特拉华大学的罗伯特·吉尔伯特领导，由在建模、微分方程和反问题方面具有专业知识的应用数学家组成。 法国团队的参与者来自Institute de la Sante et de la Recherche Medicale (INSERM) 和 Ondes Elastiques: Problemes Directs et Inverses (OEPDI)，他们都是实验主义者，他们将测试美国团队生成的模型。 智力优点所使用的数学方法是同质化理论、反问题和逆同质化理论。 美国研究小组计划解决代表生物学中两个主要数学挑战的问题，即涉及小梁非线性建模速率的生物组织演化方程的均质化，以及小梁微观结构与复合材料超声响应分析的相关性。骨基质。 更广泛的影响该奖项是一项合作，利用了美国参与者在数学建模方面的专业知识、法国 INSERM 参与者在超声诊断和治疗应用方面的专业知识以及法国 OEPDI 参与者在渐近、数值和实验方法方面的专业知识。 这项工作的成果将有助于了解、治疗和预防骨质疏松症，这是美国一个日益严重的问题。 此次合作将进一步推进研究生的研究和全球培训。