Lurching waves in thalamic neuronal networks

Jaime E. Cisternas; Thomas M. Wasylenko; Ioannis G. Kevrekidis

doi:10.1007/978-3-642-16549-8_13

Lurching waves in thalamic neuronal networks

Jaime E. Cisternas, Thomas M. Wasylenko, Ioannis G. Kevrekidis

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Numerical bifurcation computations are used to characterize traveling waves for a family of models of thalamic neurons in a network. These models consist of two layers of neurons: one made up of excitatory neurons, and the other of inhibitory ones. The interplay of these two different couplings gives rise to the propagation of activity waves. This article contains some preliminary work on the characterization of the observed waves in a one-dimensional lattice and explores the effects of varying key parameters of the model. The stability of these solutions, as well as the presence of hysteresis and the coexistence of up to three different waves, are most naturally explained in terms of the theory of bifurcations of dynamical systems.

Translated title of the contribution	Ondas tambaleantes en las redes neuronales del tálamo
Original language	English
Title of host publication	Localized States in Physics
Subtitle of host publication	Solitons and Patterns
Publisher	Springer Berlin Heidelberg
Pages	265-281
Number of pages	17
ISBN (Print)	9783642165481
DOIs	https://doi.org/10.1007/978-3-642-16549-8_13
State	Published - 2011

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abstract = "Numerical bifurcation computations are used to characterize traveling waves for a family of models of thalamic neurons in a network. These models consist of two layers of neurons: one made up of excitatory neurons, and the other of inhibitory ones. The interplay of these two different couplings gives rise to the propagation of activity waves. This article contains some preliminary work on the characterization of the observed waves in a one-dimensional lattice and explores the effects of varying key parameters of the model. The stability of these solutions, as well as the presence of hysteresis and the coexistence of up to three different waves, are most naturally explained in terms of the theory of bifurcations of dynamical systems.",

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AU - Cisternas, Jaime E.

AU - Wasylenko, Thomas M.

AU - Kevrekidis, Ioannis G.

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N2 - Numerical bifurcation computations are used to characterize traveling waves for a family of models of thalamic neurons in a network. These models consist of two layers of neurons: one made up of excitatory neurons, and the other of inhibitory ones. The interplay of these two different couplings gives rise to the propagation of activity waves. This article contains some preliminary work on the characterization of the observed waves in a one-dimensional lattice and explores the effects of varying key parameters of the model. The stability of these solutions, as well as the presence of hysteresis and the coexistence of up to three different waves, are most naturally explained in terms of the theory of bifurcations of dynamical systems.

AB - Numerical bifurcation computations are used to characterize traveling waves for a family of models of thalamic neurons in a network. These models consist of two layers of neurons: one made up of excitatory neurons, and the other of inhibitory ones. The interplay of these two different couplings gives rise to the propagation of activity waves. This article contains some preliminary work on the characterization of the observed waves in a one-dimensional lattice and explores the effects of varying key parameters of the model. The stability of these solutions, as well as the presence of hysteresis and the coexistence of up to three different waves, are most naturally explained in terms of the theory of bifurcations of dynamical systems.

KW - Bifurcación de duplicación de período

KW - Sombra oscura

KW - Neurona tálamica

KW - Multiplicador de floquet

KW - Solución cuasiperiódica

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SN - 9783642165481

SP - 265

EP - 281

BT - Localized States in Physics

PB - Springer Berlin Heidelberg

ER -

Lurching waves in thalamic neuronal networks

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