U.S. Participation in Newton Institute Program on Stochastic Dynamical Systems in Biology: Numerical Methods and Applications

从2016年1月4日至6月24日，英国剑桥大学艾萨克·牛顿数学科学研究所将举办一个关于生物学中的随机动力系统的专题项目：数值方法和应用。随机动力系统在生物学和医学中普遍存在，包括基因调控、细胞信号传导、组织发育和癌症增殖中的许多关键过程。数学和数值方法是理解这些系统的功能以及如何控制和操纵它们的行为的关键工具。该计划将汇集来自数学和生物科学的各种国际研究人员，每个人都致力于这些方法的设计和应用。该计划提供了一个独特的机会，交流思想和合作，以解决该领域的许多具有挑战性的开放性问题，使大量的研究人员能够参与很长一段时间。为了向研究生和博士后研究员介绍该领域，开幕式研讨会将提供教程和全体会议，重点是提供当前研究问题的广泛概述。该补助金为来自美国的早期职业研究人员和研究生提供旅行资金，以便在计划期间进行长期访问并参加计划研讨会。很明显，为了有效地了解生物系统中的随机性，需要将现代数值分析，估计和采样技术以及随机动力学的严格分析相结合。为了突出这些领域的开放问题和当前工作，艾萨克·牛顿数学科学研究所正在运行一个关于生物学中的随机动力系统的主题计划：数值方法和应用。该计划将包括一个介绍性的，基于教程的研讨会和三个研究研讨会，主要集中在：多尺度方法;良好的混合系统;和空间分布式系统。此外，该计划的每周将有20至30名长期参与者居住，每人参观研究所至少两周。这些研究人员之间的互动有望通过发展新的跨学科合作来推动该领域的发展。在数学科学中，这些合作将导致新的数学技术和数值方法，用于研究常微分方程和偏微分方程，离散和连续时间随机过程以及各种统计模型。为了使更广泛的科学界从该计划中受益，所有讲座和研讨会都可以通过研究所网站查看（经演讲者许可）。该补助金专门支持旅行费用访问研究所，并从事来自美国的几个早期职业和实习数学科学家的计划的活动。关于该方案的进一步信息可在网站http://www.newton.ac.uk/event/sdb上查阅。

From January 4 through June 24, 2016, the Isaac Newton Institute for Mathematical Sciences at Cambridge University in the UK will host a thematic program on Stochastic Dynamical Systems in Biology: Numerical Methods and Applications. Stochastic dynamical systems are prevalent throughout biology and medicine, and include many key processes in gene regulation, cell signaling, tissue development, and cancer proliferation. Mathematical and numerical methods are key tools in understanding both the function of these systems, and how to control and manipulate their behavior. The program will bring together a diverse set of international researchers from across the mathematical and biological sciences, each working on the design and application of such methods. The program offers a unique opportunity to exchange ideas and work collaboratively in order to tackle the many challenging open problems of the field by enabling a large number of researchers to participate for extended periods of time. To introduce graduate students and postdoctoral fellows to the field, the opening workshop will offer tutorials and plenary talks focused on providing a broad overview of current research problems. This grant provides travel funding for early career researchers and graduate students from the United States to make extended visits during the program and to participate in the program workshops.It has become clear that to effectively understand stochasticity in biological systems, a combination of modern numerical analysis, estimation and sampling techniques, and rigorous analysis of stochastic dynamics is required. To highlight open problems and current work in these areas, the Isaac Newton Institute for the Mathematical Sciences is running a thematic program on Stochastic Dynamical Systems in Biology: Numerical Methods and Applications. The program will include an introductory, tutorial-based workshop and three research workshops, broadly focused on: multi-scale methods; well-mixed systems; and spatially distributed systems. In addition, each week of the program twenty to thirty long-term participants will be in residence, each visiting the institute for at least two weeks. The interactions between these researchers are expected to advance the field through the development of new cross-disciplinary collaborations. In the mathematical sciences these collaborations will lead to new mathematical techniques and numerical methods for studying ordinary and partial differential equations, discrete and continuous-time stochastic processes, and a variety of statistical models. To enable the broader scientific community to benefit from the program, all lectures and seminars will be available to view through the institute website (with the speaker's permission). This grant specifically supports the travel costs to visit the institute and engage in the activities of the program of several early career and trainee mathematical scientists from the United States. Further information on the program is available on the website, http://www.newton.ac.uk/event/sdb.