title: Oscillation regularity in noise-driven excitable systems with multi-time-scale adaptation.
abstract: 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.
authors.affiliation: Department of Mathematics, University of Utah, Salt Lake City, Utah 84112, USA.
authors.forename: William H
authors.initials: WH
authors.lastname: Nesse
authors.forename: Christopher A Del
authors.initials: CA
authors.lastname: Negro
authors.forename: Paul C
authors.initials: PC
authors.lastname: Bressloff