Meso-scale structure and dynamics in biological networks Seminar

Over the past years networks have begun to play a prominent role in the analysis of complex systems. In contrast to classical works in graph theory one is often interested in dynamics on or of these systems. This defines the challenge of combining networks approaches with dynamical systems theory. To meaningfully apply dynamicalmethods to the inherently high-dimensional networked systems typically requires reducing the effective dimensionality of the problem.

In this talk I discuss several approaches with biological examples including opinion formation in interacting populations and the dynamics of ecological food webs and meta communities. In these examples analytical results can be obtained unsing different approaches and approximations that describe the system on global, local, and meso scales.