FitzHugh-Nagumo to model a large number of diffusive coupled neurons
نویسندگان
چکیده
منابع مشابه
FitzHugh-Nagumo equations with generalized diffusive coupling.
The aim of this work is to investigate the dynamics of a neural network, in which neurons, individually described by the FitzHugh-Nagumo model, are coupled by a generalized diffusive term. The formulation we are going to exploit is based on the general framework of graph theory. With the aim of defining the connection structure among the excitable elements, the discrete Laplacian matrix plays a...
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Despite intensive research, the mechanisms underlying how neurons encode external inputs remain poorly understood. Recent work has focused on the response of a single neuron to a weak, subthreshold periodic signal. By simulating the FitzHugh-Nagumo stochastic model and then using a symbolic method to analyze the firing activity of the neuron, preferred and infrequent spike patterns (defined by ...
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The initial value problem P 0 , in all of the space, for the spatio-temporal FitzHugh-Nagumo equations is analyzed. When the reaction kinetics of the model can be outlined by means of piecewise linear approximations, then the solution of P 0 is explicitly obtained. For periodic initial data are possible damped travelling waves and their speed of propagation is evaluated. The results imply appli...
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ژورنال
عنوان ژورنال: BMC Neuroscience
سال: 2013
ISSN: 1471-2202
DOI: 10.1186/1471-2202-14-s1-p53