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Öğe Impact of The Ion Channel Blockage on the Collective Spiking Regularity of a Scale-Free Neuronal Network(Elsevier Science Bv, 2012) Yilmaz, Ergin; Ozer, Mahmut; Cavusoglu, AbdullahThe voltage-gated ion channels embedded in biological membranes play crucial roles on the generation and transmission of action potentials. Therefore, understanding of impacts of each ion channel is of great importance for the dynamics of neuronal networks. Among the others, one method on this way is to block a specific ion channel type while keeping the remaining ion channel types active across the membrane and to observe their impact on neuronal dynamics. In this study, we study the effects of sodium and potassium channels blockage on the collective spiking regularity of a scale-free neuronal network with stochastic Hodgkin-Huxley neurons, and investigate how the dependence of the collective spiking regularity on the membrane area or cell size varies with the coupling constant between neurons. Results reveal that the collective spiking regularity exhibits coherence resonance (CR) depending on the channel blockage scaling factor and the cell size, where potassium channel blockage enhances the collective spiking regularity whereas sodium channel blockage decreases it. We show that there is a lower limit for the coupling constant which warrants the CR behavior. We also show that the maximal regularity is obtained for a smaller cell size with the increasing the value of the coupling constant.Öğe Stochastic Multi-Resonances on Scale-Free Hodgkin-Huxley Neuronal Networks via Pacemaker(Turgut Ozal Univ, 2012) Yilmaz, Ergin; Ozer, MahmutContradictory to the intuitive belief, noise has constructive effects on the dynamical processes in nonlinear systems. In this paper, we investigated the effects of the frequency of stimuli, which is introduced to the one of the neuron that acts as a pacemaker and the information transmission delay on the stochastic resonance phenomena depends on channel noise in scale-free Hodgkin-Huxley (HH) neuronal networks. The obtained results reveal that irrespective of the placing of the pacemaker within the network there exists several frequencies at which the correlation between the rhythm of pacemaker and the response of the network resonantly depends on channel noise intensity. The results also demonstrated that proper values of delays can trigger stochastic multiresonances occurring that at every multiple of the pacemaker's oscillation period.