Frequency Synchronization of a Set of Cells Coupled by Quorum Sensing

  • Jianbao Zhang
  • Zengrong Liu
  • Ying Li
  • Luonan Chen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4689)


Collective behavior of a set of cells coupled by quorum sensing is a hot topic of biology. Noticing the potential applications of frequency synchronization, the paper studies frequency synchronization of a set of cells with different frequencies coupled by quorum sensing. By phase reduced method, the multicell system is transformed to a phase equation, which can be studied by master stability function method. The sufficient conditions for frequency synchronization of the multicell system is obtained under two general hypotheses. Numerical simulations confirm the validity of the results.


Quorum Sensing Phase Synchronization Intercellular Signaling Complete Synchronization Collective Dynamic 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Jianbao Zhang
    • 2
  • Zengrong Liu
    • 1
  • Ying Li
    • 2
  • Luonan Chen
    • 1
  1. 1.Institute of Systems Biology, Shanghai University, Shanghai. 200444China
  2. 2.College of Sciences, Shanghai University, Shanghai, 200444China

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