EMSW21: RTG: Mathematical and Computational Biofluids

EMSW21：RTG：数学和计算生物流体

• 批准号: 1043626
• 负责人: Lisa Fauci
• 金额: $ 140.21万
• 依托单位: Tulane University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-09-01 至 2019-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1043626&HistoricalAwards=false
• 关键词: EMSW21; RTG; Mathematical; Computational; Biofluids

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.

流体动力学在历史上一直是应用数学和科学计算的推动力。在生物环境中，传统的流体动力学增加了一定程度的复杂性，因为典型的生物流动是不稳定的，涉及活性和弹性界面，流体结构相互作用和化学信号的传递。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界面上训练学生的需求。每年资助3名研究生、6名本科生和2名博士后。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开发和分析、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。培训活动将包括数学系和生物医学工程系的核心课程、定期小组会议、每月一次的生物流体全员会议、针对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，通过学年的参与和密集的暑期研究，本科生将完全融入研究团队。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丰富的教育和培训平台。本科生、研究生和博士后将以小组形式工作，由数学和生物医学工程的代表组成，并强调理论、计算和实验之间的相互作用。研究项目将受到应用的激励，包括微生物运动性，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都将在杜兰大学或合作机构参加实习，在那里他们可以与实验人员并肩工作，对研究项目的各个方面有全面的了解，并参与工作流体实验室的生活。杜兰大学计算科学中心的所有联合创始人都表明了对这种培训模式的承诺。他们本身是多元化的，并积极参与增加美国女性和少数民族参与科学研究的人数。这个培训计划将吸引不同的美国国民进入数学科学领域。