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Variability, transients and excitement in a stochastic model of enzyme kinetics

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  • Bashkirtseva, Irina
  • Zaitseva, Svetlana

Abstract

We study stochastic variability of enzyme kinetics based on a mathematical model with nonlinear recycling of the product into the substrate. Probabilistic mechanisms of noise-induced generation of mixed-mode stochastic spiking oscillations are investigated numerically and analytically. The decisive role of transient oscillatory attractors in stochastic excitation is revealed. For the analysis of these phenomena, a general mathematical approach using the apparatus of confidence domains and stochastic sensitivity of attractors is applied.

Suggested Citation

  • Bashkirtseva, Irina & Zaitseva, Svetlana, 2021. "Variability, transients and excitement in a stochastic model of enzyme kinetics," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921005385
    DOI: 10.1016/j.chaos.2021.111184
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    References listed on IDEAS

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    1. Patnaik, P.R., 2005. "Application of the Lyapunov exponent to detect noise-induced chaos in oscillating microbial cultures," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 759-765.
    2. Ciorsac, Alecu & Craciun, Dana & Ostafe, Vasile & Isvoran, Adriana, 2011. "Nonlinear correlations in the hydrophobicity and average flexibility along the glycolytic enzymes sequences," Chaos, Solitons & Fractals, Elsevier, vol. 44(4), pages 191-197.
    3. Bashkirtseva, Irina & Ryashko, Lev & Ryazanova, Tatyana, 2020. "Analysis of regular and chaotic dynamics in a stochastic eco-epidemiological model," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    4. Bashkirtseva, Irina & Nasyrova, Venera & Ryashko, Lev, 2018. "Noise-induced bursting and chaos in the two-dimensional Rulkov model," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 76-81.
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