Noise delays onset of sustained firing in a minimal model of persistent activity

We report a noise-induced delayof bifurcation leading to persistent sy napticallysustained "ring in a simple neural circuit. Two neural saddle-node oscillators are coupled with reciprocal excitatory synapses. Increasing synaptic current moves the circuit through a bifurcation into a bistable anti-phase regime. Applying a small random current to both neurons delays the onset of bistability. We analyse the phase plane for the various activity regimes and "nd that this noise induced mechansim can be related to the structure of asynchronous and synchronous activity states.

[1]  A. Longtin.  AUTONOMOUS STOCHASTIC RESONANCE IN BURSTING NEURONS , 1997 .

[2]  Haim Sompolinsky,et al.  Chaotic Balanced State in a Model of Cortical Circuits , 1998, Neural Computation.

[3]  O. Prospero-Garcia,et al.  Reliability of Spike Timing in Neocortical Neurons , 1995 .

[4]  Alexander B. Neiman,et al.  Coherence resonance in a Hodgkin-Huxley neuron , 1998 .

[5]  Peter Grigg,et al.  Noise-mediated enhancements and decrements in human tactile sensation , 1997 .

[6]  S GutkinBoris,et al.  Dynamics of membrane excitability determine interspike interval variability , 1998 .

[7]  Boris S. Gutkin,et al.  Dynamics of Membrane Excitability Determine Interspike Interval Variability: A Link Between Spike Generation Mechanisms and Cortical Spike Train Statistics , 1998, Neural Computation.

[8]  André Longtin,et al.  Noise-induced stabilization of bumps in systems with long-range spatial coupling , 2001 .

[9]  J. Kurths,et al.  Coherence Resonance in a Noise-Driven Excitable System , 1997 .

[10]  T J Sejnowski,et al.  Irregular synchronous activity in stochastically-coupled networks of integrate-and-fire neurons. , 1998, Network.

[11]  Khashayar Pakdaman,et al.  Noise in sensory and synaptic coding A survey of its history and a summary of its conclusions , 1994 .

[12]  Wofgang Maas,et al.  Networks of spiking neurons: the third generation of neural network models , 1997 .

[13]  Bard Ermentrout,et al.  Type I Membranes, Phase Resetting Curves, and Synchrony , 1996, Neural Computation.

[14]  Rappel,et al.  Stochastic resonance in an autonomous system with a nonuniform limit cycle. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  G. Ermentrout,et al.  Parabolic bursting in an excitable system coupled with a slow oscillation , 1986 .

[16]  Carson C. Chow,et al.  Noise shaping in populations of coupled model neurons. , 1999, Proceedings of the National Academy of Sciences of the United States of America.