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Bounded noise induced first-order phase transitions in a baseline non-spatial model of gene transcription

Author

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  • d’Onofrio, Alberto
  • Caravagna, Giulio
  • de Franciscis, Sebastiano

Abstract

In this work we consider, from a statistical mechanics point of view, the effects of bounded stochastic perturbations of the protein decay rate for a bistable biomolecular network module. Namely, we consider the perturbations of the protein decay/binding rate constant (DBRC) in a circuit modeling the positive feedback of a transcription factor (TF) on its own synthesis. The DBRC models both the spontaneous degradation of the TF and its linking to other unknown biomolecular factors or drugs.

Suggested Citation

  • d’Onofrio, Alberto & Caravagna, Giulio & de Franciscis, Sebastiano, 2018. "Bounded noise induced first-order phase transitions in a baseline non-spatial model of gene transcription," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 2056-2068.
    • Handle: RePEc:eee:phsmap:v:492:y:2018:i:c:p:2056-2068
    DOI: 10.1016/j.physa.2017.11.123
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    Cited by:

    1. Nikolay Bessonov & Guillaume Pinna & Andrey Minarsky & Annick Harel-Bellan & Nadya Morozova, 2019. "Mathematical modeling reveals the factors involved in the phenomena of cancer stem cells stabilization," PLOS ONE, Public Library of Science, vol. 14(11), pages 1-24, November.
    2. Bobryk, R.V., 2021. "Stability analysis of a SIR epidemic model with random parametric perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

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