Regensburg 2007 – wissenschaftliches Programm
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BP: Fachverband Biologische Physik
BP 12: Neuroscience
BP 12.5: Vortrag
Dienstag, 27. März 2007, 11:45–12:00, H44
Sequential Desynchronization of Clusters in Neural Networks with Partial Post-Spike Response — •Christoph Kirst1,2 and Marc Timme2,3,4 — 1Faculty of Mathematics, University of Cambridge, CB3 0WA, United Kindom — 2Network Dynamics Group, Max Planck Insitute for Dynamics and Selforganisation and — 3Bernstein Center for Computational Neuroscience Göttingen, Bunsenstr. 10, 37073 Göttingen, Germany — 4Center for Applied Mathematics, Theoretical and Applied Mechanics, Kimball Hall, Cornell University, Ithaca, NY 14853, USA
The response of a biological neuron to incoming signals strongly depends on whether or not it has just emitted a spike. Here we propose an analytically tractable network model of spiking neurons with partial post-spike response, that bridges between total charge conservation and total charge loss of supra-threshold inputs considered in previous models. For a rise of the membrane potential towards the firing threshold with a convex shape we find a sequence of desynchronization transitions between sets of admissable cluster states that is controlled by the strength of the post-spike response. We explain the mechanism underlying this transition and reveal similar phenomena in biophysically detailed models.