Transitions from bursting to spiking due to depolarizing current in the Chay neuronal model |
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| Affiliation: | 1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain;2. Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69; 25001 Lleida, Catalonia, Spain;1. Department of Medicine, David Geffen School of Medicine, University of California, Los Angeles, CA 90095, USA;2. Department of Biomathematics, David Geffen School of Medicine, University of California, Los Angeles, CA 90095, USA |
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| Abstract: | Distinct transitions of firing activities from bursting to spiking induced by the depolarizing current I are explored near the Hopf bifurcations in the Chay neuronal system. The period-1 “circle/homoclinic” bursting at one rest state makes a transition slowly to repetitive spiking with the parameter I increasing. However, the “Hopf/homoclinic” bursting via a “fold/homoclinic” hysteresis loop at another rest state may transit to continuous spiking abruptly by increasing I. |
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