Stochastic phenotype transition of a single cell in an intermediate region of gene state switching

Physical Review Letters
Hao GeX Sunney Xie

Abstract

Multiple phenotypic states often arise in a single cell with different gene-expression states that undergo transcription regulation with positive feedback. Recent experiments show that, at least in E.coli, the gene state switching can be neither extremely slow nor exceedingly rapid as many previous theoretical treatments assumed. Rather, it is in the intermediate region which is difficult to handle mathematically. Under this condition, from a full chemical-master-equation description we derive a model in which the protein copy number, for a given gene state, follows a deterministic mean-field description while the protein-synthesis rates fluctuate due to stochastic gene state switching. The simplified kinetics yields a nonequilibrium landscape function, which, similar to the energy function for equilibrium fluctuation, provides the leading orders of fluctuations around each phenotypic state, as well as the transition rates between the two phenotypic states. This rate formula is analogous to Kramers' theory for chemical reactions. The resulting behaviors are significantly different from the two limiting cases studied previously.

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Citations

Nov 23, 2015·The Journal of Chemical Physics·Davit A Potoyan, Peter G Wolynes
Apr 1, 2017·PLoS Computational Biology·Bin HuangJose N Onuchic
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Nov 7, 2019·Proceedings of the National Academy of Sciences of the United States of America·Jiajun Zhang, Tianshou Zhou
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Jul 18, 2021·Physical Review. E·Michael AssafElijah Roberts
Oct 10, 2021·Cell Systems·Megan A CoomerMichael P H Stumpf

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