Workshop: Mathematical Fluids, Materials, and Biology

该奖项为研究人员参加2019年6月在密歇根大学安娜堡分校举行的“数学流体，材料和生物学”研讨会提供支持。为期三天的研讨会将按主题安排，演讲者将涵盖流固相互作用和生物推进、复杂流体和活性物质、细胞内力学和其他生物应用等主题。这种小型研讨会也为学生和博士后与教职员工建立联系提供了重要途径；研讨会将包括一个海报环节，以提高学生和博士后的知名度。关于这一事件的信息可以在https://mcaim.math.lsa.umich.edu/event/fluids-materials-and-biology/The上找到：浸泡在流体中的柔性结构的形式和功能在很大范围的长度尺度上都是非常重要的，从风中折叠的叶子的阻力减少到通过毛细血管的血细胞挤压运输。流固相互作用的理论和数值分析已经取得了巨大的成功，并导致了应用数学所有领域中使用的标准技术的发展。由于与生物学和软物质的交叉，该领域在过去十年中出现了激增的活动。与此同时，复杂流体的特殊而复杂的行为，即那些不仅以粘性耗散，而且与剪切相关的粘度、弹性、各向异性（方向相关的响应）和其他效应响应变形的流体，是一个令人兴奋和活跃的领域，特别是在应用于生物系统时。这是一个特别充满活力的多学科科学领域，需要复杂的数学理解和新颖的计算技术来推动该领域进一步解决生物、工程和人类健康服务中直接感兴趣的问题。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

This award provides support for researchers to participate in a workshop on "Mathematical Fluids, Materials, and Biology" at the University of Michigan, Ann Arbor, on June 2019. The three-day workshop will be arranged thematically, with speakers covering topics in fluid-structure interactions and biological propulsion, complex fluids and active matter, and intracellular mechanics and other biological applications. Such small workshops also provide a critical means for students and postdocs to network with faculty members; the workshop will include a poster session to improve student and postdoc visibility. Information about the event can be found at: https://mcaim.math.lsa.umich.edu/event/fluids-materials-and-biology/The form and function of flexible structures immersed in fluids are of great importance on a vast range of length scales, from the reduced drag on leaves which fold in the wind, to the squeezing transport of blood cells through capillaries. Theoretical and numerical analysis of fluid-structure interactions have been tremendously successful and have led to the development of now standard techniques used in all areas of applied mathematics. The field has seen a surge of activity in the last decade due to intersections with biology and soft matter. Meanwhile, the peculiar and intricate behaviors of complex fluids, those fluids which respond to deformation not only with viscous dissipation but also with shear-dependent viscosity, elasticity, anisotropy (direction-dependent response) and other effects is an exciting and active area of its own, particularly as applied to biological systems. This is a particularly vibrant area of multi-disciplinary science, requiring sophisticated mathematical understanding and novel computational techniques to push the field further towards problems of immediate interest for applications in biology, engineering, and human health services.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.