Berlin 2005 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

SYBN: Biological and Social Networks

SYBN 2: Biologische und Soziale Netzwerke II

SYBN 2.2: Vortrag

Montag, 7. März 2005, 12:20–12:40, TU HE101

Network Topology Induces Speed Limits to Coordinating Spikes — An Approach Using Random Matrix Theory — •Marc Timme, Fred Wolf, and Theo Geisel — Max-Planck-Institut für Strömungsforschung, 37073 Göttingen, Germany

When a neural network processes information, a number of specific neurons need to coordinate their activity, e.g. synchronize their spikes. Given that neurons are typically interconnected to a large network of complicated topology the question arises: How fast can neurons in such a network coordinate their spikes?
Here we analyze the dynamics of large random networks of integrate-and-fire neurons. In such networks, a balanced state of irregular activity coexists with a regular synchronous state [1]. Using a random matrix approach, introduced by Wigner in the 1950s to characterize energy spectra of atomic nuclei, we predict the characteristic time of synchronization in dependence of neuron and network properties [2]. We find that the speed of synchronization is limited by the network topology and remains finite, even if the coupling strengths between neurons become infinite.
[1] M. Timme et al., Phys. Rev. Lett., 89, 258701 (2002).
[2] M. Timme et al., Phys. Rev. Lett., 92, 074101 (2004).