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References in periodicals archive ?
Abstract: In this paper; the effects of autapse (a kind of self-synapse formed between the axon of the soma of a neuron and its own dendrites) and ion channel blockage on the firing regularity of a biological small-world neuronal network, consists of stochastic Hodgkin-Huxley neurons, are studied.
Neuronal Synchronization of Electrical Activity, using the Hodgkin-Huxley Model and RCLSJ Circuit
In Section 3, applications of this method to the famous coupled FitzHugh-Nagumo equations and to the Hodgkin-Huxley model enable showing the existence of "canard solutions" in such systems.
Action potential is equivalent to the active response of the neuron, which can be modeled based on the Hodgkin-Huxley equivalent circuit model using variable resistors representing voltage-dependent ion channels.
FitzHugh and Nagumo reduced the Hodgkin-Huxley equation (four-dimensional) to a two-dimensional system by extracting the excitability of dynamics in the original Hodgkin-Huxley equation [13].
Models discussed include the Hodgkin-Huxley, Lorenz chaos, and Zetterberg.
The celebrated Hodgkin-Huxley model has specified the ion currents by introducing three variables called 'phenomenological' (Hodgkin and Huxley, 1952).
She begins with existence theorems, providing examples including the Volterra equations for predator-prey systems, the Hodgkin-Huxley equations, the Field-Noyes model for the Belousov-Zhabotinsky reaction and the Goodwin equations for a chemical reaction system.
El modelo Hodgkin-Huxley (HH) involucra cuatro variables de estado.
After a pedagogical review, we show that the Endresen Model for the potassium, calcium, and sodium concentrations inside an excitable cell can reproduce the Hodgkin-Huxley formulation for the membrane action potential.
Illustrates numerical methods by applying them to specific topics in neuroscience, including Hodgkin-Huxley equations, probabilities to describe stochastic release, stochastic processes to describe noise in neurons, Fourier transforms to describe the receptive fields of visual neurons
It is seen that the autapse with its small conductance values can slightly increases the transmission of weak signal across the network when the autaptic time delay is equal to the intrinsic oscillation period of the Hodgkin-Huxley neuron.