Networks: Emergence and dynamics

该提案的主要目标是通过协调和发展帝国数学，物理和生物工程部门的现有活动，在理论复杂性科学方面进行能力建设。该项目聘请的RA将被安置在帝国数学科学研究所（IMS）。IMS为应用于真实的世界问题的数学科学的跨学科研究提供了场所。通过这种方式，该项目将受益于IMS主办的其他复杂活动，并在各部门的研究人员之间建立创造性的合作。拟议的研究将集中在网络动态，一个术语，包括动态，和动态的，网络。将开发与统计力学、动力系统理论和随机过程有关的理论工具，以分析和验证网络结构与集体网络行为出现之间的关系。特别是，这项研究将发展我们对导致特定网络结构的动态演化过程以及在这种网络上发生的动态过程的性质的理解。理论建模的灵感来自于临床神经科学部实验获得的功能性脑成像数据。理论研究将推动实验的发展。

The main objective of this proposal is capacity building in theoretical complexity science by coordinating and developing existing activities in the Departments of Mathematics, Physics and Bioengineering at Imperial. The RA hired for the project will be placed in the Institute for Mathematical Sciences (IMS) at Imperial. The IMS provides a venue for transdisciplinary research in mathematical sciences applied to real world problems. In this way the project will benefit from the other complexity activities hosted by the IMS as well as forging an inventive collaboration between researchers from various Departments. The proposed research will focus on network dynamics, a term that encompasses both dynamics on, and dynamics of, networks. Theoretical tools related to statistical mechanics, dynamical systems theory and stochastic processes will be developed to analyse and characterise the relationship between network structure and the emergence of collective network behaviour. In particular, the research will develop our understanding of the dynamical evolutionary processes leading to specific network structure and the properties of dynamical processes taking place on such networks. The theoretical modelling will be inspired by functional brain imaging data obtained experimentally by the Division of Clinical Neuroscience. The theoretical research will on the other hand motivate the experimental development.