Dynamics of excitable cells: spike-adding phenomena in action

Abstract We study the dynamics of action potentials some electrically excitable cells: neurons and cardiac muscle cells. Bursting, following a fast–slow dynamics, is most characteristic behavior these dynamical systems, number spikes may change due to spike-adding phenomenon. Using analytical numerical methods we give, by focusing on paradigmatic 3D Hindmarsh–Rose neuron model, review recent results global organization parameter space models with bursting regions occurring between saddle-node homoclinic bifurcations (fold/hom bursting). provide generic overview different regimes that appear in parametric phase model among them. These techniques are applied two realistic frameworks: insect movement gait changes appearance Early Afterdepolarizations dynamics.