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

1 Department of Electrical and Electronic Engineering, Wuhan Polytechnic University, Wuhan, P.R. China
2 Department of Physics, College of Science, Huazhong Agricultural University, Wuhan, P.R. China
3 School of Mathematics and Physics, China University of Geosciences, Wuhan, P.R. China

Special Issues: Computational models in life sciences

We studied fluctuation-induced switching processes in the gene transcriptional regulatory system under cross-correlated sine-Wiener (CCSW) noises. It is numerically demonstrated that the increase of the multiplicative noise intensity A and cross-correlation time τ in CCSW noises can reduce the concentration of the TF-A monomer and switch to an “off” state. In addition, when the cross-correlation time τ is small, the increase of the additive noise intensity B leads to a switch of the process from “off”→“on”. Simultaneously, the increase of the cross-correlation intensity λ of CCSW noises contributes to maintaining the current state. When the cross-correlation time is large, the high concentration state has two peaks and the stationary probability distribution presents a three-peak structure.
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Keywords bistable system; cross-correlated sine-Wiener noises; switch process; three-peak structure; stationary probability distribution; mean first passage time

Citation: Guanghui Cheng, Yuangen Yao, Rong Gui, Ming Yi. Impact of cross-correlated sine-Wiener noises in the gene transcriptional regulatory system. Mathematical Biosciences and Engineering, 2019, 16(6): 6587-6601. doi: 10.3934/mbe.2019328

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