Dynamics and transitions of firing patterns in deterministic and stochastic neuronal systems

Abstract

Some recent work on experimental and theoretical studies on complex firing patterns of neurons and their dynamical mechanisms is reviewed. At first, experimental results on various neural firings and the bifurcation scenarios of ISI series are discovered in neural pacemakers. Next, a thorough analysis on dynamical behaviour and transitions of neuronal firing patterns, including the period-adding bursting sequence without chaos, the integer multiple firing and GWN-induced firing activities, are demonstrated in both the deterministic and stochastic Chay neuronal systems by means of the bifurcation theory and fast/slow dynamics. Finally, the parameter regions for different types of bursting as well as their transitions in the Chay and ML neuronal systems are presented.