Research article Special Issues

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

  • Received: 28 January 2019 Accepted: 28 June 2019 Published: 16 July 2019
  • 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.

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

    Related Papers:

  • 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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    © 2019 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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