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DY: Fachverband Dynamik und Statistische Physik
DY 24: Networks - Statistics and Dynamics (joint session DY/ BP/ SOE)
DY 24.13: Vortrag
Mittwoch, 2. April 2014, 18:15–18:30, ZEU 118
Onset of self-sustained activity in a simple model of excitable dynamics on graphs — •Christoph Fretter1,2, Annick Lesne3, Claus C. Hilgetag1,4, and Marc-Thorsten Hütt2 — 1Department of Computational Neuroscience, Universitätsklinikum Hamburg-Eppendorf, Hamburg, Germany — 2School of Engineering and Science, Jacobs University Bremen, Germany — 3LPTMC UMR 7600, Université Pierre et Marie Curie-Paris 6, 4 place Jussieu, F-75252 Paris, France — 4Department of Health Sciences, Boston Uniersity, Boston, USA
Models of simple excitable dynamics on graphs are an efficient framework for studying the interplay between network topology and dynamics. This subject is a topic of practical relevance to diverse fields, ranging from neuroscience to engineering. Using a discrete excitable node model, we analyse how a single excitation propagates through a random network as a function of the excitation threshold,that is, the percentage of excitations in the neighborhood required for an excitation of a node. Using numerical simulations and analytical considerations, we can understand the onset of sustained activity as an interplay between topological cycle statistics and path statistics. Our findings are interpreted in the context of the theory of network reverberations in neural systems, which is a question of long-standing interest in computational neuroscience.