Mathematical Sciences/GIG: Applications of Mathematics to Physiology

数学科学/GIG：数学在生理学中的应用

• 批准号: 9709608
• 负责人: Michael Reed
• 金额: $ 60万
• 依托单位: Duke University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-09-01 至 2002-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9709608&HistoricalAwards=false
• 关键词: Mathematical; Sciences; GIG; Applications; Mathematics

The three principal investigators, Michael Reed and Harold Layton of the Duke Mathematics Department and Jacob Blum of the Duke Department of Cell Biology are continuing their research programs which apply mathematical analysis and machine computation to specific biological problems. Blum and Reed investigate partial differential equations that arise in cellular transport processes and study information processing in nuclei of the auditory brainstem. Layton studies the physiological functions and regulatory mechanisms of the kidney. Several new research projects are underway with colleagues at other institutions including: new models for cell signaling; new applications of computational fluid dynamics to anguilliform swimming and microvascular flows; and the mathematical analysis of large time delays in ordinary and partial differential equations. The purpose of this project is to increase the mathematical expertise that is available for the solution of biological and biomedical problems. This is accomplished by training undergraduates, graduate students, and post-doctoral associates in the mathematical methods and modelling techniques which can give valuable information about biological systems. Strong efforts are made to develop research collaborations between mathematicians, these trainees, and biological researchers in industry, at medical centers, and in government laboratories. Funding for this activity will be provided by the Division of Mathematical Science, the MPS Office of Multidisciplinary Activities, and the Division Of Bioengineering and Environmental Systems.

杜克数学部门的三名主要研究人员，迈克尔·里德（Michael Reed）和哈罗德·莱顿（Harold Layton）以及杜克大学生物学系的雅各布·布鲁姆（Jacob Blum）正在继续其研究计划，这些计划将数学分析和机器计算应用于特定的生物学问题。 Blum和Reed研究了在听觉脑干核中细胞运输过程和研究信息处理中出现的部分微分方程。莱顿研究肾脏的生理功能和调节机制。其他机构的同事正在进行一些新的研究项目，包括：新的细胞信号模型；计算流体动力学在痛苦的游泳和微血管流中的新应用；以及对普通和部分微分方程中大时间延迟的数学分析。 该项目的目的是增加用于生物学和生物医学问题解决方案的数学专业知识。 这是通过在数学方法和建模技术中培训本科生，研究生和博士后伴侣来完成的，这些技术可以提供有关生物系统的宝贵信息。为发展工业，医疗中心和政府实验室的数学家，这些学员和生物学研究人员之间的研究合作做出了巨大的努力。 这项活动的资金将由数学科学部，国会议员多学科活动办公室以及生物工程和环境系统的部门提供。