UBM-Group: Undergraduate Training and Research in Applied Mathematics and Biological Sciences

该项目在现有本科专业应用数学-生物学的基础上，为初三和高年级的本科生提供应用数学和生物学的身临其境的研究体验。来自应用数学和生物学背景的学生团队正在进行生理学和基因组学的联合项目。这些项目都是研究人员的活跃研究领域，涵盖了人体循环和调节血液流动的多尺度动力学，从动脉水平到维持止血过程中个体血细胞的动力学；细胞和细胞生物体的动力学；以及基因和基因功能的分子生物学。学生与教师导师一起工作，与研究生和博士后助理一起工作，参加定期的研究会议和研讨会，以及所有项目参与者的每月小组会议。学生也参与提交论文以供会议陈述或期刊发表。该项目的工作与最近引入的课程和对学生的指导相协调，它正在将本科生和教职员工聚集在一起，研究创新和具有挑战性的问题。智力价值和教育：近年来，生物系统的量化分析出现了爆炸性的增长，这需要我们对如何教育本科生进行新的审视。这个项目满足了为他们提供数学和生物科学背景的需要，这将使他们为未来的研究生水平的课程做好准备。在多尺度模拟和科学计算方面取得了重大进展--包括连续统和原子论、动力学系统，以及应用于基因组学和基因表达网络的统计方法。其中大部分仍然只有研究生才能接触到，但围绕这些主题的兴奋是吸引本科生参与研究的强大动机。更广泛的影响：新课程的开发、研究项目和应用数学-生物学专业的制定将是宝贵的资源，将与NSF-UBM计划中的其他人分享，更广泛地说，通过基于网络的链接分享。本科生还可以参加为当地高中生设立的外展项目，与他们分享他们的经验和动机。

This project is building on an existing undergraduate major in Applied Mathematics - Biology by providing an immersive research experience in applied mathematics and biology for undergraduates in their junior and senior years. Student teams, drawn from both applied mathematics and biology backgrounds, are working on joint projects in physiology and in genomics. The projects, all active research areas of the investigators, cover the human circulation and the multi-scale dynamics that regulate blood flow, from the arterial level to the dynamics of individual blood cells in maintaining hemostasis; the dynamics of cells and cellular organisms; and the molecular biology of genes and gene function. Students work with faculty advisors and alongside graduate students and post-doctoral associates, participating in regular research meetings and seminars as well as a monthly group meeting for all the project participants. Students also participate in submission of papers for conference presentation or journal publication. The project work is coordinated with recently introduced courses and mentoring of the students and it is drawing together undergraduate students and faculty to work on innovative and challenging problems.Intellectual Merit and Education: There has been an explosion in recent years in the quantified analysis of biological systems that requires a new look at how we educate undergraduates. This project meets the need to provide them with a background in mathematics and biological science that will prepare them as a new generation for future graduate level programs. There have been major advances in multi-scale simulations and scientific computing - both continuum and atomistic, dynamical systems, and the statistical methods applied to genomics and gene expression networks. Much of this is still only accessible to graduate students yet the excitement surrounding the topics they encompass are powerful motivations for engaging undergraduate students in research. Broader Impact: The development of new courses, research projects and the formulation of the Applied Mathematics-Biology concentration will be valuable resources that will be shared with others in the NSF-UBM program and more generally through web-based links. The undergraduate students are also able to participate in an established outreach program for local high school students, sharing with them their experience and motivation.