Abstract
A dynamical distributed model of glycolysis with the diffusion is considered in the parametric zone of self-oscillations. A phenomenon of the diffusion-induced suppression of self-oscillations is found and studied by technique of harmonic coefficients. We show how, under increase of diffusion, temporal oscillations of homogeneous solutions transform into stationary non-homogeneous structures in the form of patterns-attractors. A phenomenon of multistability in this spatially distributed glycolytic model is discussed and a variety of coexisting patterns and their amplitude characteristics is quantified.
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Bashkirtseva, I., Pankratov, A. Suppression of self-oscillations and formation of heterogeneous structures by diffusion in the non-linear glycolytic model. Eur. Phys. J. Spec. Top. 229, 3033–3042 (2020). https://doi.org/10.1140/epjst/e2020-000070-y
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DOI: https://doi.org/10.1140/epjst/e2020-000070-y