Determining the stability of genetic switches: Explicitly accounting for mRNA noise

Michael Assaf, Elijah Roberts, Zaida Luthey-Schulten

Research output: Contribution to journalArticle

Abstract

Cells use genetic switches to shift between alternate gene-expression states, e.g., to adapt to new environments or to follow a developmental pathway. Here, we study the dynamics of switching in a generic-feedback on-off switch. Unlike protein-only models, we explicitly account for stochastic fluctuations of mRNA, which have a dramatic impact on switch dynamics. Employing the WKB theory to treat the underlying chemical master equations, we obtain accurate results for the quasistationary distributions of mRNA and protein copy numbers and for the mean switching time, starting from either state. Our analytical results agree well with Monte Carlo simulations. Importantly, one can use the approach to study the effect of varying biological parameters on switch stability.

Original languageEnglish (US)
Article number248102
JournalPhysical review letters
Volume106
Issue number24
DOIs
StatePublished - Jun 14 2011

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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