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

Calderer 1261325 调查员和她的合作者组织了一个夏季研究生课程，流动，几何运动，变形，并在材料科学和生理过程中的质量传输，在数学及其应用研究所在2013年7月。 通过一系列的讲座，辅导和动手实验室演示暑期学校向学生和初级研究人员介绍凝聚态物理和材料科学主题之间的数学和科学联系一方面和生理学问题另一方面，它让他们更好地掌握数学和计算研究的基础，在生理和材料过程的基础机制，特别是软材料。 演讲者包括应用和数值分析、偏微分方程和几何、材料科学和生理学数学建模、计算数学和实验科学方面的专家。 该项目有助于支持学生、初级研究人员和来自代表性不足群体的研究人员。 一个系统如何随着时间的推移而表现，以及其动力学的驱动因素，是科学和工程各个领域的核心问题。 当它们涉及跨越大范围长度或时间尺度的现象时，它们尤其具有挑战性。 这些问题在材料领域，特别是软材料，和生理学共享多尺度现象，传输和扩散，能量驱动的动力学的共同特征。 处理生理系统的科学和工程界以及处理材料科学的科学和工程界将受益于更大的相互作用和更好地理解适用于这些问题的数学方法。 这个暑期学校的目的是让学生和初级研究人员更好地掌握数学和计算研究的基本原理，这些基本原理是生理和材料过程的基础。 对如何建模、分析和计算模拟基本生理和材料过程的更好理解可以导致材料的改进，对生理过程的基本理解的进步以及对医疗保健的影响，以及生物工程的进步。

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.