PMID- 11110123 OWN - NLM STAT- MEDLINE DCOM- 20010118 LR - 20191210 IS - 0899-7667 (Print) IS - 0899-7667 (Linking) VI - 12 IP - 11 DP - 2000 Nov TI - Dynamical mechanism for sharp orientation tuning in an integrate-and-fire model of a cortical hypercolumn. PG - 2473-511 AB - Orientation tuning in a ring of pulse-coupled integrate-and-fire (IF) neurons is analyzed in terms of spontaneous pattern formation. It is shown how the ring bifurcates from a synchronous state to a non-phase-locked state whose spike trains are characterized by clustered but irregular fluctuations of the interspike intervals (ISIs). The separation of these clusters in phase space results in a localized peak of activity as measured by the time-averaged firing rate of the neurons. This generates a sharp orientation tuning curve that can lock to a slowly rotating, weakly tuned external stimulus. Under certain conditions, the peak can slowly rotate even to a fixed external stimulus. The ring also exhibits hysteresis due to the subcritical nature of the bifurcation to sharp orientation tuning. Such behavior is shown to be consistent with a corresponding analog version of the IF model in the limit of slow synaptic interactions. For fast synapses, the deterministic fluctuations of the ISIs associated with the tuning curve can support a coefficient of variation of order unity. FAU - Bressloff, P C AU - Bressloff PC AD - Department of Mathematical Sciences, Loughborough University, Leicestershire, UK. FAU - Bressloff, N W AU - Bressloff NW FAU - Cowan, J D AU - Cowan JD LA - eng PT - Journal Article PT - Research Support, Non-U.S. Gov't PL - United States TA - Neural Comput JT - Neural computation JID - 9426182 SB - IM MH - Action Potentials MH - Animals MH - *Models, Neurological MH - *Neural Networks, Computer MH - Neurons/*physiology MH - Synaptic Transmission/*physiology EDAT- 2000/12/08 11:00 MHDA- 2001/02/28 10:01 CRDT- 2000/12/08 11:00 PHST- 2000/12/08 11:00 [pubmed] PHST- 2001/02/28 10:01 [medline] PHST- 2000/12/08 11:00 [entrez] AID - 10.1162/089976600300014809 [doi] PST - ppublish SO - Neural Comput. 2000 Nov;12(11):2473-511. doi: 10.1162/089976600300014809.