PMID- 17500731 OWN - NLM STAT- MEDLINE DCOM- 20070703 LR - 20071203 IS - 1539-3755 (Print) IS - 1539-3755 (Linking) VI - 75 IP - 3 Pt 1 DP - 2007 Mar TI - Spike patterning of a stochastic phase model neuron given periodic inhibition. PG - 031912 AB - We present a phase model of a repetitively firing neuron possessing a phase-dependent stochastic response to periodic inhibition. We analyze the dynamics in terms of a stochastic phase map and determine the invariant phase distribution. We use the latter to compute both the distribution of interspike intervals (ISIs) and the stochastic winding number (mean firing rate) as a function of the input frequency. We show that only low-order phase locking persists in the presence of weak phase dependence, and is characterized statistically by a multimodal ISI distribution and a nonmonotonic variation in the stochastic winding number as a function of input frequency. FAU - Nesse, William H AU - Nesse WH AD - Department of Mathematics, University of Utah, Salt Lake City, Utah 84112, USA. FAU - Clark, Gregory A AU - Clark GA FAU - Bressloff, Paul C AU - Bressloff PC LA - eng GR - R01-MH068392/MH/NIMH NIH HHS/United States PT - Journal Article PT - Research Support, N.I.H., Extramural PT - Research Support, Non-U.S. Gov't PT - Research Support, U.S. Gov't, Non-P.H.S. DEP - 20070326 PL - United States TA - Phys Rev E Stat Nonlin Soft Matter Phys JT - Physical review. E, Statistical, nonlinear, and soft matter physics JID - 101136452 SB - IM MH - Action Potentials/*physiology MH - Biological Clocks/*physiology MH - Computer Simulation MH - Feedback/physiology MH - *Models, Neurological MH - Nerve Net/physiology MH - Neural Inhibition/*physiology MH - *Periodicity MH - Stochastic Processes MH - Synaptic Transmission/*physiology EDAT- 2007/05/16 09:00 MHDA- 2007/07/04 09:00 CRDT- 2007/05/16 09:00 PHST- 2006/11/27 00:00 [received] PHST- 2007/05/16 09:00 [pubmed] PHST- 2007/07/04 09:00 [medline] PHST- 2007/05/16 09:00 [entrez] AID - 10.1103/PhysRevE.75.031912 [doi] PST - ppublish SO - Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Mar;75(3 Pt 1):031912. doi: 10.1103/PhysRevE.75.031912. Epub 2007 Mar 26.