Theta neuron model
B Gutkin - Encyclopedia of computational neuroscience, 2022 - Springer
… models of ion channels by contrasting two types of models. We first review the linear thermodynamic
models… Here we show the structure of the theta-neuron dynamics. Left diagram is for …
models… Here we show the structure of the theta-neuron dynamics. Left diagram is for …
A density model for a population of theta neurons
G Dumont, J Henry, CO Tarniceriu - The Journal of Mathematical …, 2014 - Springer
… integrate and fire single neuron model, the so-called theta-neuron model is obtained and
we shall introduce in this paper a corresponding population density model for it. Existence and …
we shall introduce in this paper a corresponding population density model for it. Existence and …
The dynamics of networks of identical theta neurons
CR Laing - The Journal of Mathematical Neuroscience, 2018 - Springer
… model and the form of the synaptic input. We also investigate a number of similar related
models. We … Unlike those derivations, the equation for a theta neuron, involving just one phase …
models. We … Unlike those derivations, the equation for a theta neuron, involving just one phase …
Spike-timing error backpropagation in theta neuron networks
S McKennoch, T Voegtlin, L Bushnell - Neural computation, 2009 - direct.mit.edu
… In section 2, we present the theta neuron model and its … theta neuron model, the neuron
model around which our learning rule is derived. The theta neuron model is a canonical model, …
model around which our learning rule is derived. The theta neuron model is a canonical model, …
Theta neuron networks: Robustness to noise in embedded applications
S McKennoch, P Sundaradevan… - 2007 international joint …, 2007 - ieeexplore.ieee.org
… Theta neuron model is more biologically plausible than the leaky integrate and fire model …
Our motivation is to determine if the dynamical properties of the theta neuron model can be …
Our motivation is to determine if the dynamical properties of the theta neuron model can be …
Complete classification of the macroscopic behavior of a heterogeneous network of theta neurons
… In this letter, we construct such a model using the canonical theta neuron of Ermentrout and
Kopell (Ermentrout & Kopell, 1986; Ermentrout, 1996). We construct a large heterogeneous …
Kopell (Ermentrout & Kopell, 1986; Ermentrout, 1996). We construct a large heterogeneous …
Theta neuron subject to delayed feedback: a prototypical model for self-sustained pulsing
CR Laing, B Krauskopf - Proceedings of the Royal …, 2022 - royalsocietypublishing.org
… Because the dynamics of a theta neuron on its own can be solved explicitly—it is either …
We conclude that the theta neuron with delayed self-feedback emerges as a prototypical model: …
We conclude that the theta neuron with delayed self-feedback emerges as a prototypical model: …
Two dimensional synaptically generated traveling waves in a theta-neuron neural network
R Osan, B Ermentrout - Neurocomputing, 2001 - Elsevier
… Here we use a reduced equation, the theta model, for the individual neurons. … The model
The equation for the theta neuron is(1) d θ d t =(1− cos θ)+(1+ cos θ)(β+I(t)), where θ is the …
The equation for the theta neuron is(1) d θ d t =(1− cos θ)+(1+ cos θ)(β+I(t)), where θ is the …
Moving bumps in theta neuron networks
CR Laing, O Omel'Chenko - Chaos: An Interdisciplinary Journal of …, 2020 - pubs.aip.org
… in the model is asymmetric. We study such bumps in a “next generation” neural field model
… to be very different from that in a classical model. We find a complex sequence of saddle-…
… to be very different from that in a classical model. We find a complex sequence of saddle-…
Traveling wave solutions in a one-dimension theta-neuron model
… This paper mainly investigates traveling wave solutions in a one dimension theta-neuron
model. We derive an analytical lower bound of synaptic coupling strength for traveling waves to …
model. We derive an analytical lower bound of synaptic coupling strength for traveling waves to …
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