XVIII Red Raider Minisymposium on Modeling in a Heterogeneous World

该奖项为将于2020年4月3-4日在德克萨斯州得克萨斯理工大学举行的Red Raider Minisymymum on Model in a Heterous World提供参与者支持。小型研讨会的目标是将具有应用于不同系统的数学、计算和生物学方法的专业知识的研究人员聚集在一起，以及从事数学和生物学接口工作的早期职业研究人员。各种杰出的和职业生涯早期的演讲者将参加。每位演讲者将发表一小时的演讲，然后进行讨论、协作和研讨会活动。杰出的演讲者和职业生涯早期的演讲者都将关注以下五个领域之一：1)生态系统的空间异质性，2)肿瘤的异质性，3)化学计量的异质性，4)疾病传播的异质性，以及5)行为的异质性。此外，还将有一个关于各种主题的海报会议。研讨会将提供一个独特的机会来推进这些领域的研究，促进合作，并发现新的研究方向。有关这次小型研讨会的更多信息可在http://www.math.ttu.edu/rr2020/Research上找到，在数学和生物学领域的交界处的努力产生了深刻的结果，加深了对生态学、流行病学、肿瘤学和社会生物学问题的理解，并为这两个领域的进步做出了贡献。数学模型和方法的应用揭示了生物学各个子领域中的问题，反过来，针对生物学中的复杂问题，新的数学方法和理论也得到了发展。需要越来越多的数学和计算方法和技术来研究当前生物学中的问题，这些问题对于理解不断变化的、不同种类的世界至关重要。虽然生物系统是多个动力因素的复杂组合，但许多数学模型是简化的，可能缺乏足够的异质性来解决当前重要的问题。随着生态系统的持续变化，个人药物的进步，全球气温的变化，以及生物获得抗菌素耐药性，我们现在比以往任何时候都更需要现实的模型来解释个体、种群和生态系统的异质性。异质世界中的微型混合模型将使来自不同职业阶段的研究人员能够在数学和生物学的交界处相遇，并讨论将异质性纳入现实生物系统的新的令人兴奋的方法和技术。这些互动和讨论将通过确定重要的开放问题和促进长期合作，为未来在这一方向上的研究奠定基础。提出和讨论的主题将具有重要的数学意义，涵盖动力系统理论、随机过程、最优控制理论和博弈论，以及生物学意义，横跨种群生态学、肿瘤学和流行病学。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势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 participant supports for the Red Raider Minisymposium on Modeling in a Heterogeneous World, to be held on April 3-4 2020 in Texas Tech University, TX. The goal of the minisymposium is to bring together researchers with expertise in mathematical, computational and biological methods applied to heterogeneous systems, together with early career investigators working at the interface of mathematics and biology. A variety of distinguished and early career speakers will participate. Each speaker will give an hour-long talk followed by discussion, collaboration, and workshop activities. Both distinguished and early career speakers will focus on one of five areas: 1) spatial heterogeneity in ecological systems, 2) tumor heterogeneity, 3) stoichiometric heterogeneity, 4) heterogeneity in disease transmission, and 5) behavioral heterogeneity. Additionally, there will be a poster session on a variety of topics. The symposium will provide a unique opportunity to advance research in these fields, to promote collaborations, and to discover novel research directions. More information regarding this minisymposium can be found at http://www.math.ttu.edu/rr2020/Research efforts at the interface of the fields of mathematics and biology have produced profound results that have deepened understanding of problems in ecology, epidemiology, oncology and sociobiology and contributed to the advancement of both fields. Application of mathematical models and methods have shed light on problems in various subfields of biology, and in turn, new mathematical methods and theories have been developed in response to the complex problems in biology. A growing arsenal of mathematical and computational methods and techniques are needed to study the current problems in biology that are critical to understanding the changing, heterogeneous world. While biological systems are complex compositions of multiple dynamical factors, many mathematical models are simplifications that may lack sufficient heterogeneity to address questions of current importance. As ecosystems continue to change, personal medicine advances, global temperatures shift, and organisms gain anti-microbial resistance, we need realistic models to account for individual, population and ecosystem heterogeneities, now more than ever. The minisymposum Modeling in a Heterogeneous World will enable researchers from different career stages working at the interface of mathematics and biology to meet and to discuss new and exciting methods and techniques for incorporating heterogeneity into realistic biological systems. These interactions and discussions will lay the groundwork for future research in this direction by identifying important open questions and fostering long-term collaborations. Topics presented and discussed will be mathematically significant, spanning dynamical systems theory, stochastic processes, optimal control theory, and game theory, as well as biologically significant, spanning population ecology, oncology, and epidemiology.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.