PMID- 10636934
OWN - NLM
STAT- MEDLINE
DCOM- 20000214
LR  - 20191210
IS  - 0899-7667 (Print)
IS  - 0899-7667 (Linking)
VI  - 12
IP  - 1
DP  - 2000 Jan
TI  - Dynamics of strongly-coupled spiking neurons.
PG  - 91-129
AB  - We present a dynamical theory of integrate-and-fire neurons with strong synaptic 
      coupling. We show how phase-locked states that are stable in the weak coupling 
      regime can destabilize as the coupling is increased, leading to states 
      characterized by spatiotemporal variations in the interspike intervals (ISIs). 
      The dynamics is compared with that of a corresponding network of analog neurons 
      in which the outputs of the neurons are taken to be mean firing rates. A 
      fundamental result is that for slow interactions, there is good agreement between 
      the two models (on an appropriately defined timescale). Various examples of 
      desynchronization in the strong coupling regime are presented. First, a globally 
      coupled network of identical neurons with strong inhibitory coupling is shown to 
      exhibit oscillator death in which some of the neurons suppress the activity of 
      others. However, the stability of the synchronous state persists for very large 
      networks and fast synapses. Second, an asymmetric network with a mixture of 
      excitation and inhibition is shown to exhibit periodic bursting patterns. 
      Finally, a one-dimensional network of neurons with long-range interactions is 
      shown to desynchronize to a state with a spatially periodic pattern of mean 
      firing rates across the network. This is modulated by deterministic fluctuations 
      of the instantaneous firing rate whose size is an increasing function of the 
      speed of synaptic response.
FAU - Bressloff, P C
AU  - Bressloff PC
AD  - Nonlinear and Complex Systems Group, Department of Mathematical Sciences, 
      Loughborough University, Loughborough, Leicestershire LE11 3TU, U.K.
FAU - Coombes, S
AU  - Coombes S
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  - Animals
MH  - *Models, Neurological
MH  - Models, Theoretical
MH  - *Neural Networks, Computer
MH  - Neurons/*physiology
MH  - Synapses/physiology
EDAT- 2000/01/15 09:00
MHDA- 2000/02/19 09:00
CRDT- 2000/01/15 09:00
PHST- 2000/01/15 09:00 [pubmed]
PHST- 2000/02/19 09:00 [medline]
PHST- 2000/01/15 09:00 [entrez]
AID - 10.1162/089976600300015907 [doi]
PST - ppublish
SO  - Neural Comput. 2000 Jan;12(1):91-129. doi: 10.1162/089976600300015907.