Scientific Results

Stochastic incoherence in the response of rebound bursters

Year: 2010

Authors: Ciszak M.

Autors Affiliation: CNR – Istituto Nazionale di Ottica Largo E Fermi 6, I-50125 Florence, Italy

Abstract: At an optimal value of the noise intensity, the maximum variability in rebound burst durations is observed and referred to as a response stochastic incoherence. A general mechanism underlying this phenomenon is given, being different from those reported so far in excitable systems. It is shown to be determined by (i) the monotonic reduction of the hysteresis responsible for bursting caused by noise and consequent transformation of responses from rebound bursts to single spikes, and (ii) a symmetry breaking in distributions of burst durations caused by the existence of the minimum response length. The phenomenon is studied numerically in a Morris-Lecar model for neurons and its mechanism is explained with the use of canonical models describing hard excitation states. (C) 2010 Elsevier B.V. All rights reserved.

Journal/Review: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Volume: 389 (12)      Pages from: 2351  to: 2357

More Information: The author acknowledges a Marie Curie European Reintegration Grant (within a 7th European Community Framework Programme).
KeyWords: Burst duration; Bursters; Bursting; Canonical models; Excitable systems; Excitation state; Morris-Lecar model; Noise intensities; Optimal values; Symmetry-breaking, Hysteresis, Stochastic systems
DOI: 10.1016/j.physa.2010.02.028

Citations: 1
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