126952 20260112133159.0 doi 10.1007/s40324-023-00328-2 sideral 134466 ART-2024-134466 eng Barrio, Roberto Universidad de Zaragoza (orcid)0000-0002-8089-343X Dynamics of excitable cells: spike-adding phenomena in action 2024 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/AEI/PID2021-122961NB-I00 info:eu-repo/grantAgreement/ES/DGA/E22-20R info:eu-repo/grantAgreement/ES/DGA-FSE/E24-20R info:eu-repo/grantAgreement/ES/DGA/LMP94_21 info:eu-repo/grantAgreement/ES/MCIU/FPU20-04039 info:eu-repo/grantAgreement/ES/MICINN/PGC2018-096026-B-I00 info:eu-repo/grantAgreement/ES/MICINN-AEI/PID2020-113052GB-I00 info:eu-repo/grantAgreement/ES/MINECO-FEDER/MTM2017-87697-P info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 0.516 2024 Applied Mathematics 2024 Q2 Numerical Analysis 2024 Q2 Modeling and Simulation 2024 Q2 Control and Optimization 2024 Q2 3.3 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Ibáñez, Santiago Jover-Galtier, Jorge A. Universidad de Zaragoza (orcid)0000-0001-9868-9368 Lozano, Álvaro Universidad de Zaragoza (orcid)0000-0002-1184-5901 Martínez, M. Ángeles Universidad de Zaragoza (orcid)0000-0002-7374-3222 Mayora-Cebollero, Ana Universidad de Zaragoza (orcid)0000-0002-4802-2511 Mayora-Cebollero, Carmen Universidad de Zaragoza (orcid)0000-0002-3431-0926 Pérez, Lucía Serrano, Sergio Universidad de Zaragoza (orcid)0000-0002-5701-1670 Vigara, Rubén Universidad de Zaragoza (orcid)0000-0001-7111-5022 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 81 (2024), 113-146 SEMA j. SEMA Journal 2254-3902 8886065 http://zaguan.unizar.es/record/126952/files/texto_completo.pdf Versión publicada 1238799 http://zaguan.unizar.es/record/126952/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:126952 articulos driver 2026-01-12-12:39:06 ARTICLE