Topology regulates the distribution pattern of excitations in excitable dynamics on graphs.
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.
Müller-Linow
Mark
M
Bioinformatics Group, Department of Biology, Darmstadt University of Technology, 64287 Darmstadt, Germany.
Marr
Carsten
C
Hütt
Marc-Thorsten
MT