Variability, transients and excitement in a stochastic model of enzyme kinetics. (September 2021)

• Record Type: Journal Article
• Authors: Bashkirtseva, Irina; Zaitseva, Svetlana
• Is Part Of: Chaos, solitons and fractals. Volume 150(2021)
• Publication Date: 2021-09
• Subjects: Enzyme kinetics -- Noise-induced excitement -- Transients -- Stochastic sensitivity; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2021.111184
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: We study stochastic effects in the nonlinear model of enzymatic reaction. Probabilistic mechanisms of noise-induced excitement are analyzed. A role of transient attractors is clarified. Stochastic sensitivity analysis is carried out. 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.