Dynamics of excitable cells: spike-adding phenomena in action

Autor: Barrio, Roberto, Ibáñez, Santiago, Jover-Galtier, Jorge A., Lozano, Álvaro, Martínez, M. Ángeles, Mayora-Cebollero, Ana, Mayora-Cebollero, Carmen, Pérez, Lucía, Serrano, Sergio, Vigara, Rubén
Zdroj: SeMA Journal; 20240101, Issue: Preprints p1-34, 34p
Abstrakt: We study the dynamics of action potentials of some electrically excitable cells: neurons and cardiac muscle cells. Bursting, following a fast–slow dynamics, is the most characteristic behavior of these dynamical systems, and the number of spikes may change due to spike-adding phenomenon. Using analytical and numerical methods we give, by focusing on the paradigmatic 3D Hindmarsh–Rose neuron model, a review of recent results on the global organization of the parameter space of neuron models with bursting regions occurring between saddle-node and homoclinic bifurcations (fold/hom bursting). We provide a generic overview of the different bursting regimes that appear in the parametric phase space of the model and the bifurcations among them. These techniques are applied in two realistic frameworks: insect movement gait changes and the appearance of Early Afterdepolarizations in cardiac dynamics.
Databáze: Supplemental Index