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2011, Volume 2011: 1404-1412. Doi: 10.3934/proc.2011.2011.1404 open access
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Wavelet analysis of phase clusters in a distributed biochemical system

  • 1.

    Department of Theoretical Physics, Kursk State University, Radishcheva st., 33, 305000, Kursk

  • 2.

    Institute of Physics, Humboldt-University at Berlin, Newtonstr. 15, 12489, Berlin

Received:  June 30, 2010
Revised:  February 28, 2011
Published:  August 2017
Abstract Related Papers Cited by
    Abstract
  • 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.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

    Citation:
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