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 …

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 …

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 …

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, …

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 …

Complete classification of the macroscopic behavior of a heterogeneous network of theta neurons

TB Luke, E Barreto, P So - Neural computation, 2013 - direct.mit.edu
… 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 …

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: …

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 …

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-…

Traveling wave solutions in a one-dimension theta-neuron model

G Wen, Y Yu, Z Peng, W Hu - Advances in Neural Networks–ISNN 2009 …, 2009 - Springer
… 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 …