The Mathematics of Complexity Science and Systems Biology

复杂性科学是对具有许多相互依赖的组成部分的系统的研究。它的职权范围涵盖广泛的领域，从物理和技术到生物和社会系统。其中一个重要的领域是系统生物学，从系统而不是单个组件的角度研究生物体。我们相信，这些学科的健康发展在很大程度上依赖于数学，反过来说，它们为新的数学提供了丰富的刺激源。我们将举办一个密集的研究研讨会和参观活动，作为沃里克数学研究中心研讨会2009/10学年的主题，总结发挥的状态，揭示主要挑战，并在这些领域的一系列主题中提出关键想法。主要研讨会主题将是网络：动力学和流动，从复杂数据集提取信息，从分子到身体：医学中生物组织的跨越水平，空间扩展系统的时空吉布斯阶段，空间扩展相互作用粒子系统的非平衡动力学，生态学，流行病学和进化：生物过程和人工模拟，金融博弈论，社会和生物科学，树突，神经元和网络：大脑中的空间和随机性，时钟，开关和信号，以及来自荧光数据的时空动力学挑战。研讨会年之后将在随后的一年举办重点研讨会，以利用出现的有前途的主题。

Complexity Science is the study of systems with many interdependent components. Its remit spans a wide range of areas, from physical and technological to biological and social systems. One large and important such area is Systems Biology, the study of living organisms from the point of view of systems rather than individual components. We believe that these subjects depend heavily on Mathematics for their healthy development, and that conversely, they provide rich sources of stimulation for new Mathematics.We will run an intensive year of research workshop and visitor activity as the Warwick Mathematics Research Centre Symposium topic for the academic year 2009/10, to summarise the state of play, expose the main challenges and develop key ideas in a range of topics in these areas. The main workshop subjects will be Networks: dynamics and flows, Information extraction from complex data sets, From molecules to bodies: spanning levels of biological organization in medicine, Space-time Gibbs phases for spatially extended systems, Non-equilibrium dynamics of spatially-extended interacting particle systems, Ecology, epidemiology and evolution: biological processes and artificial analogues, Game theory for finance, social and biological sciences, Dendrites, neurones and networks: space and stochasticity in the brain, Clocks, switches and signals, and Spatio-temporal dynamics challenges from fluorescence data. The Symposium year will be followed by focussed workshops in a subsequent year to capitalise on promising themes that emerge.