PMID: 15245261Jul 13, 2004Paper

Hidden symmetry in chains of biological coupled oscillators

Physical Review Letters
A TakamatsuT Fujii

Abstract

We experimentally investigated spatiotemporal patterns in chains of coupled biological oscillators with boundaries and found hidden symmetric patterns that are not straightforwardly derived from explicit geometrical symmetry of the systems. We propose a model of coupled oscillators in chains with a hidden oscillator interconnecting its boundaries. The model can explain all observed patterns including the hidden symmetric ones, while other models such as discrete analogs of Neumann boundary conditions in continuous systems cannot.

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Citations

Oct 15, 2011·PLoS Computational Biology·Keiko Yokoyama, Yuji Yamamoto
Jan 7, 2009·Chaos·Dongchuan YuFang Liu
Dec 18, 2010·Journal of Theoretical Biology·Yukio-Pegio GunjiIori Tani
Oct 22, 2008·Journal of Theoretical Biology·Atsuko TakamatsuGinjiro Takizawa
Jan 13, 2017·Journal of Theoretical Biology·Alexander A Tulub, Vassily E Stefanov
Apr 5, 2018·PloS One·Mengsen ZhangEmmanuelle Tognoli
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Leonid A Safonov, Yoshiharu Yamamoto
Nov 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yu B GaidideiJ Starke
May 21, 2005·Physical Review Letters·C Masoller, A C Martí

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