Quantitative analysis of pattern formation in a multistable model of glycolysis with diffusion

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Quantitative analysis of pattern formation in a multistable model of glycolysis with diffusion. / Bashkirtseva, Irina ; Pankratov, Alexander ; Ryashko, Lev.
In: Physica D: Nonlinear Phenomena, Vol. 455, 133890, 01.12.2023.

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

BibTeX

@article{22bb8d33952b4491b451f591cb3aa68e,

title = "Quantitative analysis of pattern formation in a multistable model of glycolysis with diffusion",

abstract = "Motivated by the problem of uncertainty quantification in self-organization, we study a spatially extended Sel{\textquoteright}kov–Strogatz model of glycolysis. A variety of coexisting patterns induced by the Turing instability is studied in the parametric zones where the original local model without diffusion exhibits stable equilibria or self-oscillations. A phenomenon of the suppression of homogeneous self-oscillations by diffusion with formation of stationary non-homogeneous patterns-attractors is revealed. To quantify the uncertainty in the number and modality of patterns-attractors and to perform an advanced parametric analysis, we use the spectral coefficients technique and Shannon entropy.",

author = "Irina Bashkirtseva and Alexander Pankratov and Lev Ryashko",

note = "The work was supported by Russian Science Foundation (N 21-11-00062 ).",

year = "2023",

month = dec,

day = "1",

doi = "10.1016/j.physd.2023.133890",

language = "English",

volume = "455",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Quantitative analysis of pattern formation in a multistable model of glycolysis with diffusion

AU - Bashkirtseva, Irina

AU - Pankratov, Alexander

AU - Ryashko, Lev

N1 - The work was supported by Russian Science Foundation (N 21-11-00062 ).

PY - 2023/12/1

Y1 - 2023/12/1

N2 - Motivated by the problem of uncertainty quantification in self-organization, we study a spatially extended Sel’kov–Strogatz model of glycolysis. A variety of coexisting patterns induced by the Turing instability is studied in the parametric zones where the original local model without diffusion exhibits stable equilibria or self-oscillations. A phenomenon of the suppression of homogeneous self-oscillations by diffusion with formation of stationary non-homogeneous patterns-attractors is revealed. To quantify the uncertainty in the number and modality of patterns-attractors and to perform an advanced parametric analysis, we use the spectral coefficients technique and Shannon entropy.

AB - Motivated by the problem of uncertainty quantification in self-organization, we study a spatially extended Sel’kov–Strogatz model of glycolysis. A variety of coexisting patterns induced by the Turing instability is studied in the parametric zones where the original local model without diffusion exhibits stable equilibria or self-oscillations. A phenomenon of the suppression of homogeneous self-oscillations by diffusion with formation of stationary non-homogeneous patterns-attractors is revealed. To quantify the uncertainty in the number and modality of patterns-attractors and to perform an advanced parametric analysis, we use the spectral coefficients technique and Shannon entropy.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85170409370

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001072896200001

U2 - 10.1016/j.physd.2023.133890

DO - 10.1016/j.physd.2023.133890

M3 - Article

VL - 455

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

M1 - 133890

ER -

ID: 44663776