Flow, Geometric Motion, Deformation and Mass Transport in Materials Science and Physiological Processes

材料科学和生理过程中的流动、几何运动、变形和质量传递

• 批准号: 1261325
• 负责人: Maria-Carme Calderer
• 金额: $ 1.4万
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-09-01 至 2014-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1261325&HistoricalAwards=false
• 关键词: Flow; Geometric; Motion; Deformation; Mass

Calderer1261325 The investigator and her collaborators organize a Summer Graduate Program, Flow, Geometric Motion, Deformation, and Mass Transport in Materials Sciences and Physiological Processes, at the Institute of Mathematics and its Applications in July 2013. Through a series of lectures, tutorials, and hands-on lab demonstrations the summer school introduces students and junior researchers to the mathematical and scientific connections between topics of condensed matter physics and materials sciences on the one hand and physiology problems on the other, and it gives them a better grasp of the fundamentals of mathematical and computational studies in mechanisms that underlie physiological and materials processes, particularly soft materials. Speakers includes experts in applied and numerical analysis, partial differential equations and geometry, mathematical modeling in material sciences and physiology, computational mathematics, and experimental sciences. The project helps support students, junior researchers, and researchers from under-represented groups. How a system behaves over time, and the drivers of its dynamics, are central questions in every area of science and engineering. They are especially challenging when they involve phenomena that span large ranges of length or time scales. Such questions in the areas of materials, particularly soft materials, and of physiology share common features of multiscale phenomena, transport and diffusion, and energy-driven dynamics. The science and engineering communities that deal with physiological systems and those that deal with materials sciences would benefit from greater interactions and from better understanding of the mathematical methods appropriate for these problems. The purpose of this summer school is to give students and junior researchers a better grasp of the fundamentals of mathematical and computational studies in mechanisms that underlie physiological and materials processes. Improved understanding of how to model, analyze, and computationally simulate basic physiological and materials processes can lead to improved materials, advances in fundamental understanding of physiological processes with consequences for health care, and advances in bioengineering.

Calderer126第1325研究人员和她的合作者于2013年7月在数学及其应用研究所组织了一个暑期研究生项目，材料科学和生理过程中的流动、几何运动、变形和质量传输。通过一系列讲座、教程和动手实验演示，暑期班向学生和初级研究人员介绍凝聚态物理和材料科学主题与生理学问题之间的数学和科学联系，并使他们更好地掌握生理和材料过程(特别是软材料)基础机制中的数学和计算研究的基础。演讲者包括应用和数值分析、偏微分方程式和几何、材料科学和生理学的数学建模、计算数学和实验科学方面的专家。该项目帮助支持学生、初级研究人员和来自代表性不足群体的研究人员。一个系统随着时间的推移如何运行，以及它的动态的驱动力，是科学和工程的每个领域的中心问题。当它们涉及跨越大范围长度或时间范围的现象时，它们尤其具有挑战性。在材料领域，特别是软材料领域和生理学领域，这些问题具有多尺度现象、传输和扩散以及能量驱动的动力学的共同特征。研究生理系统的科学界和工程界以及处理材料科学的科学界和工程界将受益于更大的互动和对适用于这些问题的数学方法的更好理解。这个暑期班的目的是让学生和初级研究人员更好地掌握作为生理和材料过程基础的机制中的数学和计算研究的基础。提高对如何建模、分析和计算模拟基本生理和材料过程的理解可以导致材料的改进，促进对生理过程的基本理解并对医疗保健产生影响，以及生物工程方面的进展。