Topology regulates the distribution pattern of excitations in excitable dynamics on graphs

Mark Müller-Linow, Carsten Marr, and Marc-Thorsten Hütt
Phys. Rev. E 74, 016112 – Published 19 July 2006

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.

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  • Received 27 October 2005

DOI:https://doi.org/10.1103/PhysRevE.74.016112

©2006 American Physical Society

Authors & Affiliations

Mark Müller-Linow1, Carsten Marr1, and Marc-Thorsten Hütt2

  • 1Bioinformatics Group, Department of Biology, Darmstadt University of Technology, 64287 Darmstadt, Germany
  • 2School of Engineering and Science, International University Bremen, 28759 Bremen, Germany

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Issue

Vol. 74, Iss. 1 — July 2006

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