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Title: A continuum of weakly coupled oscillatory McKean neurons
Authors: Denman-Johnson, M.
Coombes, S.
Issue Date: 2003
Abstract: The McKean model of a neuron possesses a one dimensional fast voltage-like variable and a slow recovery variable. A recent geometric analysis of the singularly perturbed system has allowed an explicit construction of its phase response curve [S Coombes 2001 Phase-locking in networks of synaptically coupled McKean relaxation oscillators, Physica D, Vol 160, 173-188]. Here we use tools from coupled oscillator theory to study weakly coupled networks of McKean neurons. Using numerical techniques we show that the McKean system has traveling wave phase-locked solutions consistent with that of a network of more biophysically detailed Hodgkin-Huxley neurons.
Description: This pre-print has been submitted, and accepted, to the journal, Physical Review E. The definitive version: DENMAN-JOHNSON, M. and COOMBES, S.,2003. A continuum of weakly coupled oscillatory McKean neurons. Physical Review E, 67(5), art. no. 051903 is available online at http://pre.aps.org/.
URI: https://dspace.lboro.ac.uk/2134/261
Appears in Collections:Pre-prints (Maths)

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