EMSW21: RTG: Mathematical and Computational Biofluids

流体动力学在历史上一直是应用数学和科学计算的驱动力。在生物环境中，传统的流体动力学增加了复杂性，因为通常生物流动是不稳定的，涉及活动和弹性界面，流体-结构相互作用和化学信号的传输。该研究和培训项目由杜兰大学数学系和生物医学工程系的教师领导，认识到在数学和生物医学科学的接口培训学生的需求。每年资助研究生3名、本科生6名、博士后2名。国外的研究项目将侧重于数学分析、偏微分方程数值方法的发展和分析、复杂生物系统的建模、高性能计算机上的三维模拟以及建模与实验的双向协调。培训活动将包括一门课程，其中包括数学系和生物医学工程系的核心课程，定期小组会议，每月生物流体全体会议，研究生和博士后的湿实验室和实习计划，专业发展研讨会，年度嘉年华FocusDays（CFD）研讨会和高性能计算培训活动。此外，本科生将通过学年参与和深入的暑期研究完全融入研究团队。数学通过其理论分析和数值方法的发展对工程，生物和物理科学产生了巨大的影响。生物流体动力学除了在生理学和海洋学中的直接应用外，还为数学科学的学生提供了一个丰富的教育和训练平台。本科生、研究生和博士后将以团队为单位，以数学和生物医学工程为代表，强调理论、计算和实验之间的相互作用。研究项目将以应用为动力，包括微生物运动、肺力学、生物传感器和细胞生物力学。所有研究生和博士后学生将参加实习，无论是在杜兰大学或在合作机构，在那里他们可以与实验人员并肩工作，发展研究项目的各个方面的全面理解，并参与工作流体实验室的生活。这些联合PI，都是杜兰大学计算科学中心的联合创始人，已经证明了对这种培训模式的承诺。他们本身是多样化的，并积极参与增加美国妇女和少数民族在科学研究中的人数。这个培训计划将吸引不同的美国国民进入数学科学。

Fluid dynamics has historically been a driving force in applied mathematics and scientific computing.In biological settings, a level of complexity is added to traditional fluid dynamics sincetypically biological flows are unsteady, involve active and elastic interfaces, fluid-structure interactionsand transport of chemical signals. This Research and Training project, led by faculty in theDepartments of Mathematics and Biomedical Engineering at Tulane University, recognizes the needfor students trained at the interface of mathematics and the biomedical sciences. Three graduatestudents, six undergraduate students and two postdoctoral fellows will be supported each year. Abroad spectrum of research projects will be emphasized that span mathematical analysis, developmentand analysis of numerical methods for partial differential equations, modeling of complexbiological systems, three-dimensional simulations on high-performance computers, and a two-waycoordination of modeling with experiments. Training activities will include a curriculum with corecourses from both the Department of Mathematics and the Department of Biomedical Engineering,regular group meetings, a monthly Biofluids All-Hands meeting, a wet-lab and internship programfor graduate students and postdocs, professional development seminars, an annual Carnival FocusDays (CFD) workshop and high-performance computing training activities. Moreover, undergraduatestudents will be fully-integrated into research teams through academic year involvement andintensive summer research.Mathematics has had a huge impact on the engineering, biological and physical sciences through its developmentof theoretical analyses and numerical methods. Biological fluid dynamics, in additionto its direct applications in physiology and oceanography, provides a rich educational and trainingplatform for students in the mathematical sciences. Undergraduates, graduate students and postdoctoralstudents will work in teams, with representation from both Mathematics and BiomedicalEngineering, and with an emphasis on the interplay between theory, computation and experiment.Research projects will be motivated by applications, including microorganism motility, pulmonarymechanics, biosensors and cellular biomechanics. All graduate and postdoctoral students will participatein an internship, either at Tulane University or at a partner institution, where they canwork side-by-side with experimentalists, develop a comprehensive understanding of various aspectsof the research project, and participate in the life of a working fluids lab. The co-PIs, all co-foundersof Tulane's Center for Computational Science, have demonstrated commitment to this model oftraining. They are, themselves, diverse, and have been actively involved in increasing the numberof US women and minorities in scientific research. This training program will attract diverseAmerican nationals into the mathematical sciences.