REU Site: IUPUI REU Program in Mathematics with Applications to Medicine, Neuroscience, and Fluid Dynamics

该奖项全部或部分根据2021年美国救援计划法案（公法117-2）资助。该REU计划在印第安纳州普渡大学印第安纳波利斯（IUPUI）将提供来自美国各地的八名本科生有机会进行应用于医学，流体动力学和神经科学的数学研究。学生们将在印第安纳波利斯度过八个星期的夏季，与IUPUI数学科学系的教师导师一起工作。这个REU网站计划将向学生介绍跨学科的研究经验，并产生新的研究成果，将影响多个科学学科。具体来说，参与者将从事四个主要项目之一：心脏移植患者的治疗策略建模，调查成瘾药物对大脑的影响，模拟邻近骨细胞的力和流体流动以了解骨骼发育，以及研究健康和疾病中大脑节律的同步。学生将推进分析，逻辑和数字技能，需要继续在干相关领域的职业生涯。该网站将准备一个多元化和准备充分的干劳动力。REU项目旨在解决移植免疫学，流体动力学和神经科学中的新问题和开放问题。参加第一个REU项目的学生将与数学家和免疫学家密切合作，设计，分析和验证小鼠心脏移植的数学模型，并采用新的组合治疗方法。第二个项目将涉及骨细胞及其周围间质液和骨基质的多尺度综合模型。这个项目将导致更好地了解骨骼发育。在第三个项目中，学生们将开发一个数学模型（基于体内电生理实验数据），可用于识别酗酒受试者典型的异常决策背后的神经机制。第四个项目将需要数学建模，以了解神经同步在大脑功能中的作用。该奖项反映了NSF的法定使命，并通过使用基金会的智力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 is funded in whole or in part under the American Rescue Plan Act of 2021 (Public Law 117-2). The REU Program at Indiana University-Purdue University Indianapolis (IUPUI) will provide eight undergraduate students from across the United States with the opportunity to conduct mathematics research applied to medicine, fluid dynamics, and neuroscience. The students will spend eight weeks during the summer in Indianapolis working with faculty mentors from the IUPUI Department of Mathematical Sciences. This REU Site program will introduce students to interdisciplinary research experience and yield new research outcomes that will impact multiple scientific disciplines. Specifically, the participants will work on one of four main projects: modeling treatment strategies for heart transplant patients, investigating the influence of addictive drugs on the brain, modeling the forces and fluid flow over neighboring bone cells to understand bone development, and studying synchronization of brain rhythms in health and disease. The students will advance the analytical, logical, and numerical skills that are needed to continue their careers in STEM-related fields. The Site will prepare a diverse and well-prepared STEM workforce. The REU projects aim to address new and open problems in transplant immunology, fluid dynamics, and neuroscience. Students participating in the first REU project will work closely with a mathematician and immunologist to design, analyze, and validate a mathematical model of mouse heart transplantation in the presence of novel combination therapeutic approaches. The second project will involve a multiscale integrative model of bone cells and their surrounding interstitial fluid and bone matrix. This project will lead to a better understanding of bone development. In the third project, the students will develop a mathematical model (based on in vivo electrophysiological experimental data) that can be used to identify the neural mechanisms that underlie aberrant decision-making typical for alcoholic subjects. The fourth project will require mathematical modeling to understand the role of neural synchronization in brain functions. It will focus on understanding the increased interactions between the brain and heart during sleep.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.