Presentations

Stochastic Pattern Generation in the Diffusion Model of Glycolysis

Pankratov A.A., Bashkirtseva I.A.

Ural Federal University,19 Mira street, 620002 Ekaterinburg, Russia

The report considers the distributed diffusion model of the Selkov glycolytic oscillator [1] with one spatial coordinate. Noise-induced spatial structures [2] are studied.

The report presents the results of an investigation of noise-induced patterns in the Turing stability zone. Using numerical experiments and the harmonic coefficients, the diversity of the formed co-existed patterns is studied. Dependencies between pattern properties and parametric zone are studied as well. This work was supported by the Russian Science Foundation grant No. 21-11-00062.

References.

1. Selkov E. E. Self­oscillations in glycolysis 1. A simple kinetic model //European Journal of Biochemistry. – 1968. – Т. 4. – №. 1. – С. 79­86.

2. Kolinichenko A. P., Pisarchik A. N., Ryashko L. B. Stochastic phenomena in pattern formation for distributed nonlinear systems //Philosophical Transactions of the Royal Society A. – 2020. – Т. 378. – №. 2171. – С. 20190252.

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