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Coloured Noises Induced Regime Shift Yet Energy-Consuming in an E2F/Myc Genetic Circuit Involving miR-17-92

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Abstract

E2F/Myc genetic circuit carries out its biological functions expressed by phenotypic diversity to regulate cancer development; however, the cost involved in fluctuating environments is unclear. Here, considering the regulation of miR-17-92 in an E2F/Myc genetic circuit, we propose a toy model with coloured noise to focus on the effects of the noise/correlation strength (NS/CS) and the auto/cross-correlation time (AT/CT) on cell phenotype transition and energy cost. The results indicate that increasing AT/CT always slows down the bimodal regulation of NS/CS while extending AT of multiplicative noise amplifies this effect to shift the bimodal regime; the changing trend of the mean first passage time (MFPT) also confirms the regulatory function of noises, i.e., CT attenuates cancer spread induced by increasing CS. Moreover, by reconstructing the effective topology network, we can validate that there is an optimal switching path existed by regulating NS/CS and AT/CT according to the principle of minimum energy consumption, which is nearly independent of CT in the phase plane of CS to CT. The overall analysis indicates that E2F/Myc genetic circuit would regulate NS/CS and AT/CT of noises to achieve phenotype diversity.

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Acknowledgements

The author would like to thank three anonymous reviewers for valuable comments, and also thank Elsevier Language Editing again (https://webshop.elsevier.com/) for English language editing.

Funding

The work was supported by the Hainan Province Science and Technology Special Fund (Grant No. ZDYF2021SHFZ231), the National Natural Science Foundation of China (Grant Nos. 12261028, 11961018, 11761025), Natural Science Foundation of Hainan Province (Grant Nos. 120RC451, 2019RC168), Hainan Province Innovative Scientific Research Project for Graduate Students (Grant Nos. Qhys2021-208, Qhys2022-182, Qhys2022-183), the financial support from Academician Shi Jianming Station of Hainan Province.

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Author notes

  1. Leiyan Chen and Yan Wang have contributed equally to this work.

Authors and Affiliations

  1. School of Sciences, Hainan University, Haikou, 570228, Hainan, People’s Republic of China

    Leiyan Chen, Zhigang Wang & Haohua Wang

  2. Department of Neurology, The First Affiliated Hospital, University of South China, 421001, HengYang, Hunan, People’s Republic of China

    Yan Wang

  3. School of Mathematics, Sun Yat-Sen University, Guangzhou, 510275, People’s Republic of China

    Leiyan Chen

  4. Hainan University, Key Laboratory of Engineering Modeling and Statistical Computation of Hainan Province, Haikou, 570228, Hainan, People’s Republic of China

    Zhigang Wang & Haohua Wang

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  1. Leiyan Chen
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Contributions

HHW and LLC proposed and designed this study, did all numerical simulations described in the paper, interpreted the results, and wrote the paper. ZGW, YW and HHW performed an analytical treatment of a stochastic differential equation. Both authors contributed to the discussions.

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Correspondence to Haohua Wang.

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Communicated by Lei-Han Tang.

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Chen, L., Wang, Y., Wang, Z. et al. Coloured Noises Induced Regime Shift Yet Energy-Consuming in an E2F/Myc Genetic Circuit Involving miR-17-92. J Stat Phys 190, 84 (2023). https://doi.org/10.1007/s10955-023-03095-6

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