4.4 Article

Multimodality and Flexibility of Stochastic Gene Expression

Journal

BULLETIN OF MATHEMATICAL BIOLOGY
Volume 75, Issue 12, Pages 2600-2630

Publisher

SPRINGER
DOI: 10.1007/s11538-013-9909-3

Keywords

Gene expression; Stochasticity; Noise reduction

Funding

  1. FAPESP (Fundacao de Amparo a Pesquisa do Estado de Sao Paulo, Brazil)
  2. USP-COFECUB program

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We consider a general class of mathematical models for stochastic gene expression where the transcription rate is allowed to depend on a promoter state variable that can take an arbitrary (finite) number of values. We provide the solution of the master equations in the stationary limit, based on a factorization of the stochastic transition matrix that separates timescales and relative interaction strengths, and we express its entries in terms of parameters that have a natural physical and/or biological interpretation. The solution illustrates the capacity of multiple states promoters to generate multimodal distributions of gene products, without the need for feedback. Furthermore, using the example of a three states promoter operating at low, high, and intermediate expression levels, we show that using multiple states operons will typically lead to a significant reduction of noise in the system. The underlying mechanism is that a three-states promoter can change its level of expression from low to high by passing through an intermediate state with a much smaller increase of fluctuations than by means of a direct transition.

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