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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/45384
Title: Statistical physics approach to dendritic computation: The excitable-wave mean-field approximation
Authors: Gollo, Leonardo L.; Kinouchi, O.; Copelli, Mauro
Issue Date: 2012
Publisher: American Physical Society
Citation: Physical Review E 85: 011911 (1-13) (2012)
Abstract: We analytically study the input-output properties of a neuron whose active dendritic tree, modeled as a Cayley tree of excitable elements, is subjected to Poisson stimulus. Both single-site and two-site mean-field approximations incorrectly predict a nonequilibrium phase transition which is not allowed in the model. We propose an excitable-wave mean-field approximation which shows good agreement with previously published simulation results [ Gollo et al. PLoS Comput. Biol. 5 e1000402 (2009)] and accounts for finite-size effects. We also discuss the relevance of our results to experiments in neuroscience, emphasizing the role of active dendrites in the enhancement of dynamic range and in gain control modulation.
Publisher version (URL): http://dx.doi.org/10.1103/PhysRevE.85.011911
URI: http://hdl.handle.net/10261/45384
DOI: 10.1103/PhysRevE.85.011911
ISSN: 1539-3755
E-ISSN: 1550-2376
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