Mechanisms of transition from the rhythmic to bursting activity in the nociceptive neuron model

The mechanisms of transition from the rhythmic to bursting activity upon a change in the external stimulating current are investigated in the membrane model of a nociceptive neuron. It is found that the saddle-node bifurcation of the limit cycle in the structure of the bifurcation diagram of the fast subsystem and the torus bifurcation in the structure of the bifurcation diagram of the total system lead to the emergence of particular solutions of the torus canards type in these transitions. This confirms the assumption that torus canards-type solutions are a common feature in transitions between rhythmic activity and bursts.