PMID: 9540048Apr 16, 1998Paper

Entrainment, instability, quasi-periodicity, and chaos in a compound neural oscillator

Journal of Computational Neuroscience
M MatsuguC S Poon

Abstract

We studied the dynamical behavior of a class of compound central pattern generator (CPG) models consisting of a simple neural network oscillator driven by both constant and periodic inputs of varying amplitudes, frequencies, and phases. We focused on a specific oscillator composed of two mutually inhibiting types of neuron (inspiratory and expiratory neurons) that may be considered as a minimal model of the mammalian respiratory rhythm generator. The simulation results demonstrated how a simple CPG model--with a minimum number of neurons and mild nonlinearities--may reproduce a host of complex dynamical behaviors under various periodic inputs. In particular, the network oscillated spontaneously only when both neurons received adequate and proportionate constant excitations. In the presence of a periodic source, the spontaneous rhythm was overridden by an entrained oscillation of varying forms depending on the nature of the source. Stable entrained oscillations were inducible by two types of inputs: (1) anti-phase periodic inputs with alternating agonist-antagonist drives to both neurons and (2) a single periodic drive to only one of the neurons. In-phase inputs, which exert periodic drives of similar magnitude and phase relatio...Continue Reading

Citations

Dec 24, 2002·Journal of Applied Physiology·Daniel L YoungChi-Sang Poon
Jul 27, 2007·Journal of Neurophysiology·Robert J Calin-JagemanWilliam N Frost
Sep 13, 2007·PloS One·Shawna M MacDonaldChi-Sang Poon
Feb 18, 2011·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·Christian StrausThomas Similowski
Feb 8, 2007·International Journal of Neural Systems·Dingguo Zhang, Kuanyi Zhu
Apr 5, 2001·Journal of Neurophysiology·A SzücsA I Selverston
Jan 16, 2007·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·Marie-Noëlle FiammaThomas Similowski
Jun 21, 2001·Proceedings of the National Academy of Sciences of the United States of America·C S Poon, M Barahona
May 20, 2005·Neural Computation·Chris Eliasmith
Nov 1, 2008·Journal of Applied Physiology·Jurgen A H R ClaassenRong Zhang
Nov 15, 2008·Proceedings of the National Academy of Sciences of the United States of America·Steffen WittmeierChi-Sang Poon

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