Impact of cross-correlated sine-Wiener noises in the gene transcriptional regulatory system

DOI10.3934/mbe.2019328zbMath1470.92115OpenAlexW2957420496WikidataQ91167828 ScholiaQ91167828MaRDI QIDQ2045461

Yuangen Yao, Rong Gui, Ming Yi, Guang-Hui Cheng

Publication date: 13 August 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2019328

zbMATH Keywords

bistable systemmean first passage timestationary probability distributioncross-correlated sine-Wiener noisesswitch processthree-peak structure

Mathematics Subject Classification ID

Biochemistry, molecular biology (92C40) Regularization by noise (60H50)

Related Items (1)

An equivalent analytical method to deal with cross-correlated exponential type noises in the nonlinear dynamic system

Cites Work

• Switches in a genetic regulatory system under multiplicative non-Gaussian noise
• Stochastic resonance in a tumor-immune system subject to bounded noises and time delay
• Bounded noises in physics, biology, and engineering
• Emergent bimodality and switch induced by time delays and noises in a synthetic gene circuit
• Detection of sub-threshold periodic signal by multiplicative and additive cross-correlated sine-Wiener noises in the Fitzhugh-Nagumo neuron
• Enhancement of temporal regularity and degradation of spatial synchronization induced by cross-correlated sine-Wiener noises in regular and small-world neuronal networks
• Dynamics of a stochastic system driven by cross-correlated sine-Wiener bounded noises
• Coherence Resonance in a Noise-Driven Excitable System

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