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US-France合作研究项目建模取消骨骼，然后针对超声数据测试这些模型。 由特拉华大学的罗伯特·吉尔伯特（Robert Gilbert）领导的美国团队由具有建模，微分方程和反问题的专业知识的应用数学家组成。 法国团队与De la Sante et de la Recherche Medicale（INSERM）和ONDES弹性：问题指导ET Inverses（OEPDI）的参与者是实验者，将测试由美国团队生成的模型。 智力值得使用的数学方法将是均化理论，反问题和反均质化的理论。 美国研究团队计划解决代表生物学上两个主要数学挑战的问题，即涉及小梁的非线性建模速率的生物组织的进化方程以及小径显微组织的相关性与复合骨基质的超声响应的分析。 更广泛的影响力是一项合作，该奖项利用了美国参与者的数学建模，法国插入参与者超声诊断和治疗应用方面的专业知识，以及法国OEPDI参与者的渐近，数值和实验方法的专业知识。 这项工作的结果对于理解，治疗和预防骨质疏松症将是有用的，骨质疏松症是美国日益增长的问题。 合作将进一步对研究生进行研究和全球培训。