title: Autapse-induced multiple coherence resonance in single neurons and neuronal networks.
abstract: We study the effects of electrical and chemical autapse on the temporal coherence or firing regularity of single stochastic Hodgkin-Huxley neurons and scale-free neuronal networks. Also, we study the effects of chemical autapse on the occurrence of spatial synchronization in scale-free neuronal networks. Irrespective of the type of autapse, we observe autaptic time delay induced multiple coherence resonance for appropriately tuned autaptic conductance levels in single neurons. More precisely, we show that in the presence of an electrical autapse, there is an optimal intensity of channel noise inducing the multiple coherence resonance, whereas in the presence of chemical autapse the occurrence of multiple coherence resonance is less sensitive to the channel noise intensity. At the network level, we find autaptic time delay induced multiple coherence resonance and synchronization transitions, occurring at approximately the same delay lengths. We show that these two phenomena can arise only at a specific range of the coupling strength, and that they can be observed independently of the average degree of the network.
authors.affiliation: Bülent Ecevit University, Department of Biomedical Engineering, Zonguldak, 67100, Turkey.
authors.forename: Ergin
authors.initials: E
authors.lastname: Yilmaz
authors.affiliation: Bülent Ecevit University, Department of Electrical-Electronics Engineering, Zonguldak, 67100, Turkey.
authors.forename: Mahmut
authors.initials: M
authors.lastname: Ozer
authors.affiliation: Bülent Ecevit University, Department of Biomedical Engineering, Zonguldak, 67100, Turkey.
authors.forename: Veli
authors.initials: V
authors.lastname: Baysal
authors.affiliation: Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, SI-2000 Maribor, Slovenia.
authors.forename: Matjaž
authors.initials: M
authors.lastname: Perc
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D000465:Algorithms; D001921:Brain / Q000502:physiology*; D003198:Computer Simulation; D054351:Electrical Synapses / Q000502:physiology*; D006801:Humans; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D009474:Neurons / Q000502:physiology*