PMID: 9433752Jan 20, 1998Paper

Phase response characteristics of model neurons determine which patterns are expressed in a ring circuit model of gait generation

Biological cybernetics
C C CanavierJohn H Byrne

Abstract

In order to assess the relative contributions to pattern-generation of the intrinsic properties of individual neurons and of their connectivity, we examined a ring circuit composed of four complex physiologically based oscillators. This circuit produced patterns that correspond to several quadrupedal gaits, including the walk, the bound, and the gallop. An analysis using the phase response curve (PRC) of an uncoupled oscillator accurately predicted all modes exhibited by this circuit and their phasic relationships--with the caveat that in certain parameter ranges, bistability in the individual oscillators added nongait patterns that were not amenable to PRC analysis, but further enriched the pattern-generating repertoire of the circuit. The key insights in the PRC analysis were that in a gait pattern, since all oscillators are entrained at the same frequency, the phase advance or delay caused by the action of each oscillator on its postsynaptic oscillator must be the same, and the sum of the normalized phase differences around the ring must equal to an integer. As suggested by several previous studies, our analysis showed that the capacity to exhibit a large number of patterns is inherent in the ring circuit configuration. In a...Continue Reading

Citations

Apr 15, 2005·Journal of Computational Neuroscience·Theoden I NetoffJohn A White
Jun 20, 2007·Journal of Computational Neuroscience·Selva K Maran, Carmen C Canavier
Aug 12, 2010·Journal of Computational Neuroscience·Srisairam AchuthanCarmen C Canavier
Aug 21, 2010·Journal of Computational Neuroscience·Lakshmi ChandrasekaranCarmen C Canavier
Jul 19, 2001·Journal of Neuroscience Methods·R D PintoH D Abarbanel
Jan 23, 1999·Current Opinion in Neurobiology·F K Skinner, B Mulloney
Feb 8, 2013·Journal of the Royal Society, Interface·Shinya AoiKazuo Tsuchiya
Jul 7, 2010·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Roy M SmealJohn A White
Apr 26, 2002·Neural Computation·Sorinel A Oprisan, Carmen C Canavier
Jun 19, 2007·Neural Computation·Jianfu Ma, Jianhong Wu
Apr 24, 2009·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Srisairam Achuthan, Carmen C Canavier
May 10, 2008·The International Journal of Neuroscience·Sorinel Adrian Oprisan, Christian Boutan
May 13, 2010·Mathematical Biosciences·Carmen C Canavier, Srisairam Achuthan
Jun 17, 2008·Neural Networks : the Official Journal of the International Neural Network Society·Auke Jan Ijspeert
Feb 10, 2004·IEEE Transactions on Bio-medical Engineering·Chuan LuoJohn H Byrne
Nov 5, 2004·Journal of Neurophysiology·Theoden I NetoffJohn A White
Jan 20, 2015·New Journal of Physics·Thiago MosqueiroRamon Huerta
Oct 3, 2020·Scientific Reports·Matteo LodiMarco Storace
Aug 12, 2000·Journal of Neurophysiology·J Foss, J Milton
Feb 1, 2013·Journal of Neurophysiology·Óscar Miranda-Domínguez, Theoden I Netoff
Sep 8, 2017·Frontiers in Neurorobotics·Shinya AoiFlorentin Wörgötter
Feb 1, 2020·Journal of Mathematical Biology·Bootan RahmanKonstantin B Blyuss
Apr 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Clara B Picallo, Hermann Riecke
Jul 30, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shinya AoiKazuo Tsuchiya

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