Bifurcations of lurching waves in a thalamic neuronal network

Thomas M. Wasylenko, Jaime E. Cisternas, Carlo R. Laing, Ioannis G. Kevrekidis

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

7 Citas (Scopus)

Resumen

We consider a two-layer, one-dimensional lattice of neurons; one layer consists of excitatory thalamocortical neurons, while the other is comprised of inhibitory reticular thalamic neurons. Such networks are known to support "lurching" waves, for which propagation does not appear smooth, but rather progresses in a saltatory fashion; these waves can be characterized by different spatial widths (different numbers of neurons active at the same time). We show that these lurching waves are fixed points of appropriately defined Poincaré maps, and follow these fixed points as parameters are varied. In this way, we are able to explain observed transitions in behavior, and, in particular, to show how branches with different spatial widths are linked with each other. Our computer-assisted analysis is quite general and could be applied to other spatially extended systems which exhibit this non-trivial form of wave propagation.
Idioma originalInglés
Páginas (desde-hasta)447-462
Número de páginas16
PublicaciónBiological Cybernetics
Volumen103
N.º6
DOI
EstadoPublicada - dic. 2010

Nota bibliográfica

© 2010 Springer-Verlag.

Palabras clave

  • Bifurcation
  • Lattice
  • Lurching
  • RE-TC

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