The phenomenon of stochastic excitability in the enzymatic reaction model

Bashkirtseva, Irina; Zaitseva, Svetlana

doi:10.20537/vm180101

Vestn. Udmurt. Univ. Mat. Mekh. Komp’yut. Nauki

2018

DOI: 10.20537/vm180101

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The phenomenon of stochastic excitability in the enzymatic reaction model

Irina Bashkirtseva¹,

Svetlana Zaitseva²

Abstract: All Russian mathematical portal I. A. Bashkirtseva, S. S. Zaitseva, The phenomenon of stochastic excitability in the enzymatic reaction model, Vestn.

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Stochastic sensitivity analysis of stationary patterns in spatially extended systems

Kolinichenko

Ryashko

2020

Math Methods in App Sciences

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In this paper, a spatially extended stochastic reaction-diffusion model is studied.Due to Turing instability, stable nonhomogeneous stationary patterns are generated in such models. A theoretical approach to estimating the mean-square deviation of random solutions from the stable deterministic pattern-attractor is demonstrated. Stochastic sensitivity functions for stable stationary patterns are introduced. Theoretical evaluations are compared with statistically obtained data. Based on this approach, we investigate stochastic properties of different patterns in Brusselator. Variations in pattern sensitivity to noise and phenomenon of stochastic preference are discussed.

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Stochastic sensitivity analysis of stationary patterns in spatially extended systems

Kolinichenko

Ryashko

2020

Math Methods in App Sciences

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show abstract

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The phenomenon of stochastic excitability in the enzymatic reaction model

Abstract: All Russian mathematical portal I. A. Bashkirtseva, S. S. Zaitseva, The phenomenon of stochastic excitability in the enzymatic reaction model, Vestn.

Cited by 1 publication

References 0 publications

Stochastic sensitivity analysis of stationary patterns in spatially extended systems

Stochastic sensitivity analysis of stationary patterns in spatially extended systems

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