Dynamic Analysis and Simulation for Two Different Chaos-Like Stochastic Neural Firing Patterns Observed in Real Biological System

摘要

In the present investigation, two neural firing patterns generated in the experimental neural pacemaker and simulated in the stochastic Chay model but not in the deterministic model, lying between period 2 bursting and period 3 bursting, were identified to be stochastic by the inter-event intervals (IEIs) analysis, although they exhibit chaos-like characteristics with the results of the inter-spike intervals (ISIs) analysis. The case I pattern was a transition between a string of period 2 burst and a string of period 3 burst, while between a single period 2 burst and a single period 3 burst in case II pattern. Two patterns were generated near a bifurcation point from period 2 bursting to period 3 bursting under the influence of noise by coherence resonance with the result of the bifurcation analysis. The Case I has exhibited coexistence of 2 bursting and period 3 bursting near the bifurcation while case II with no coexistence.