Oscillation regularity in noise-driven excitable systems with multi-time-scale adaptation.
We investigate oscillation regularity of a noise-driven system modeled with a slow after-hyperpolarizing adaptation current (AHP) composed of multiple-exponential relaxation time scales. Sufficiently separated slow and fast AHP time scales (biphasic decay) cause a peak in oscillation irregularity for intermediate input currents I, with relatively regular oscillations for small and large currents. An analytic formulation of the system as a stochastic escape problem establishes that the phenomena is distinct from standard forms of coherence resonance. Our results explain data on the oscillation regularity of the pre-Bötzinger complex, a neural oscillator responsible for inspiratory breathing rhythm generation in mammals.
Nesse
William H
WH
Department of Mathematics, University of Utah, Salt Lake City, Utah 84112, USA.
Negro
Christopher A Del
CA
Bressloff
Paul C
PC