Wavelet analysis of phase clusters in a distributed biochemical system

Andrey Yu Verisokin, Darya V. Verveyko, Eugene B. Postnikov, Anastasia I. Lavrova

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The spatio-temporal dynamics of glycolysis in distributed medium have been studied both theoretically and experimentally. Different patterns such as travelling waves, standing waves and clusters have been observed in experiment. We describe pattern formation using distributed Selkov model that describes kinetics of phosphofructokinase which is a key enzyme of glycolytic reactions. We have found in numerical simulations that the varying the diffusion coefficient values within the range of 0-10-3 shows a large variety of phase patterns: from the birth of a hierarchy of phase clusters to their complete phase synchronization. In order to understand the mechanism phase clusters emergence and their dynamics we are using continuous wavelet transform.

Original languageEnglish
Pages (from-to)1404-1412
Number of pages9
JournalDiscrete and Continuous Dynamical Systems- Series A
Issue numberSUPPL.
StatePublished - 1 Sep 2011
Externally publishedYes

Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


  • Distributed Selkov system
  • Glycolytic reaction
  • Non-Turing bifurcations
  • Nonlinear oscillator
  • Reaction-diffusion


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