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

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主持一个主题项目：生物学中的随机动力系统：数值方法和应用。随机动力系统广泛存在于生物学和医学中，包括基因调控、细胞信号、组织发育和肿瘤增殖等许多关键过程。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领域的不同的国际研究人员，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交流思想和合作的机会，以便通过使大量研究人员能够更长时间地参与来解决该领域的许多具有挑战性的开放问题。为了向研究生和博士后介绍这一领域，开幕研讨会将提供教程和全体讲座，重点是提供对当前研究问题的广泛概述。这笔赠款为来自美国的早期职业研究人员和研究生在项目期间进行长期访问和参加项目工作室提供旅费。显然，要有效地理解生物系统中的随机性，需要结合现代数值分析、估计和抽样技术，以及对随机动力学的严格分析。为了突出这些领域的开放问题和当前的工作，艾萨克·牛顿数学科学研究所正在开展一个主题项目：生物学中的随机动力系统：数值方法和应用。该计划将包括一个以教程为基础的介绍性研讨会和三个研究研讨会，主要集中在：多尺度方法；良好混合的系统；以及空间分布式系统。此外，该计划每周将有20至30名长期参与者驻留，每人至少访问研究所两周。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，这些合作将导致研究常微分方程式、离散和连续时间随机过程以及各种统计模型的新的数学技术和数值方法。为了使更广泛的科学界能够从该计划中受益，所有讲座和研讨会都可以通过研究所的网站观看(经发言者许可)。这笔赠款特别支持访问该研究所和参与美国几位职业生涯早期和见习数学科学家项目活动的旅费。有关该计划的更多信息，请访问网站http://www.newton.ac.uk/event/sdb.。

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.