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Wavelet analysis of phase clusters in a distributed biochemical system. / Verisokin, Andrey Yu; Verveyko, Darya V.; Postnikov, Eugene B.; Lavrova, Anastasia I.

In: Discrete and Continuous Dynamical Systems- Series A, No. SUPPL., 01.09.2011, p. 1404-1412.

Research output: Contribution to journal › Article › peer-review

Harvard

Verisokin, AY, Verveyko, DV, Postnikov, EB & Lavrova, AI 2011, 'Wavelet analysis of phase clusters in a distributed biochemical system', Discrete and Continuous Dynamical Systems- Series A, no. SUPPL., pp. 1404-1412.

APA

Verisokin, A. Y., Verveyko, D. V., Postnikov, E. B., & Lavrova, A. I. (2011). Wavelet analysis of phase clusters in a distributed biochemical system. Discrete and Continuous Dynamical Systems- Series A, (SUPPL.), 1404-1412.

Vancouver

Verisokin AY, Verveyko DV, Postnikov EB, Lavrova AI. Wavelet analysis of phase clusters in a distributed biochemical system. Discrete and Continuous Dynamical Systems- Series A. 2011 Sep 1;(SUPPL.):1404-1412.

Author

Verisokin, Andrey Yu ; Verveyko, Darya V. ; Postnikov, Eugene B. ; Lavrova, Anastasia I. / Wavelet analysis of phase clusters in a distributed biochemical system. In: Discrete and Continuous Dynamical Systems- Series A. 2011 ; No. SUPPL. pp. 1404-1412.

BibTeX

@article{5d03070f82d243a5af2d7dd0d75b2ccf,
title = "Wavelet analysis of phase clusters in a distributed biochemical system",
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.",
keywords = "Distributed Selkov system, Glycolytic reaction, Non-Turing bifurcations, Nonlinear oscillator, Reaction-diffusion",
author = "Verisokin, {Andrey Yu} and Verveyko, {Darya V.} and Postnikov, {Eugene B.} and Lavrova, {Anastasia I.}",
year = "2011",
month = sep,
day = "1",
language = "English",
pages = "1404--1412",
journal = "Discrete and Continuous Dynamical Systems",
issn = "1078-0947",
publisher = "Southwest Missouri State University",
number = "SUPPL.",

}

RIS

TY - JOUR

T1 - Wavelet analysis of phase clusters in a distributed biochemical system

AU - Verisokin, Andrey Yu

AU - Verveyko, Darya V.

AU - Postnikov, Eugene B.

AU - Lavrova, Anastasia I.

PY - 2011/9/1

Y1 - 2011/9/1

N2 - 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.

AB - 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.

KW - Distributed Selkov system

KW - Glycolytic reaction

KW - Non-Turing bifurcations

KW - Nonlinear oscillator

KW - Reaction-diffusion

UR - http://www.scopus.com/inward/record.url?scp=84878203559&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84878203559

SP - 1404

EP - 1412

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

SN - 1078-0947

IS - SUPPL.

ER -

ID: 27612577