Oscillation Regularity of Noise-Driven Systems with Multi-Timescale Adaptation

We investigate oscillation regularity of a noise-driven system modeled with a slow after--hyperpolarizing adaptation current (AHP) comprised of multiple exponential relaxation timescales. Sufficiently separated slow and fast AHP timescales (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 preBotzinger Complex, a neural oscillator responsible for inspiratory breathing rhythm generation in mammals.


University of Utah | Department of Mathematics |
bressloff@math.utah.edu
Jan 2004.