Phys Rev Lett
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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.; Del Negro, Christopher A.; and Bressloff, Paul C., Oscillation Regularity in Noise-Driven Excitable Systems with Multi-Time-Scale Adaptation (2008). Phys Rev Lett, 101(8).