Noise-delayed decay in the response of a scale-free neuronal network

Effects of channel noise on synchronization transitions in Newman–Watts neuronal network with time delays

“…Since Hodgkin and Huxley's pioneering work [31], the role of noise has been extensively studied in the generation and propagation of the membrane potential of neurons, and stochastic resonance (SR) and coherence resonance (CR) have been found in various neuronal systems (see e.g., [32][33][34]). In recent decade, some SR and CR phenomena due to channel noise in neuronal networks have been found, such as sodium and potassium channel block reduced and enhanced spiking coherence of neuronal network, respectively [35,36], channel noise enhanced propagation of pacemaker signals across neuronal networks [37] and weak signal across feed-forward neuronal networks [38], and channel noise decreased mean latency and jitter of the first spikes in response to subthreshold signal [39,40] and degraded signal detection capability of neuronal network [41], as well as channel block resonantly enhanced spiking regularity of clustered neuronal networks [42]. It is also shown that noise can induce and enhance synchronization in excitable media [43], coupled thermo-sensitive neurons [44], and neuronal networks [45].…”

Enhancement of temporal coherence via time-periodic coupling strength in a scale-free network of stochastic Hodgkin–Huxley neurons

“…It is easily seen from Eq. (4) that when the cell size is large enough the stochastic effect adding by the ion channels to membrane potential is trivial, but when the cell size is small the stochastic effect due to the ion channels, participating in membrane potential dynamics, is very crucial [55][56][57].…”

Effects of autapse and channel blockage on firing regularity in a biological neuronal network

“…In equation (1), GNa, GK and GL denote sodium, potassium and leakage ion channel conductance, respectively. In the model, the leakage conductance is constant, GL=0.3mScm -2 , whereas the others dynamically change as follows [30,34,37,38]:…”

“…For a given membrane, by a fine-tuned addition of these toxins a certain portion of potassium-and sodium ion channels could be disabled or blocked and hence the number of active (working) ion channels can be reduced. There are also plenty of studies based on different computational neuron models, where the impacts of changing the number of particular ion channels on firing dynamics of a single neuron or neuronal networks' is examined [30][31][32][33][34][35][36][37][38]. In these studies, it is uncovered that channel blocking has crucial impacts on firing dynamics.…”