{"title":"How colored noise impacts excitation and suppression of calcium oscillations: Stochastic sensitivity analysis","authors":"Lev Ryashko","doi":"10.1016/j.chaos.2025.116338","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we study the specificity of the colored noise in the stochastic calcium dynamics. As a deterministic framework, the Li-Rinzel model with the frequency modulation of calcium oscillations is used. For the cases of mono- and bistability, a parametric description of the dependence of the dispersion of random states on correlation time and colored noise intensity is given. In studying the phenomenon of stochastic excitation of spike oscillations, we localize the range of the correlation parameter of the colored noise inducing coherence resonance. A probabilistic analysis of the suppression of calcium oscillations by noise is carried out. The constructive capabilities of the stochastic sensitivity technique in colored-noise-induced generation and suppression of calcium oscillations are demonstrated.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"196 ","pages":"Article 116338"},"PeriodicalIF":5.6000,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos Solitons & Fractals","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0960077925003510","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
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Abstract
In this paper, we study the specificity of the colored noise in the stochastic calcium dynamics. As a deterministic framework, the Li-Rinzel model with the frequency modulation of calcium oscillations is used. For the cases of mono- and bistability, a parametric description of the dependence of the dispersion of random states on correlation time and colored noise intensity is given. In studying the phenomenon of stochastic excitation of spike oscillations, we localize the range of the correlation parameter of the colored noise inducing coherence resonance. A probabilistic analysis of the suppression of calcium oscillations by noise is carried out. The constructive capabilities of the stochastic sensitivity technique in colored-noise-induced generation and suppression of calcium oscillations are demonstrated.
期刊介绍：
Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.
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