title: Topology regulates the distribution pattern of excitations in excitable dynamics on graphs.
abstract: We study the average excitation density in a simple model of excitable dynamics on graphs and find that this density strongly depends on certain topological features of the graph, namely connectivity and degree correlations, but to a lesser extent on the degree distribution. Remarkably, the average excitation density is changed via the distribution pattern of excitations: An increase in connectivity induces a transition from globally to locally organized excitations and, as a result, leads to an increase in the excitation density. A similar transition can be induced by increasing the rate of spontaneous excitations while keeping the graph architecture constant.
authors.affiliation: Bioinformatics Group, Department of Biology, Darmstadt University of Technology, 64287 Darmstadt, Germany.
authors.forename: Mark
authors.initials: M
authors.lastname: Müller-Linow
authors.forename: Carsten
authors.initials: C
authors.lastname: Marr
authors.forename: Marc-Thorsten
authors.initials: MT
authors.lastname: Hütt