Emergent Lévy behavior in single-cell stochastic gene expression

Emergent Lévy behavior in single-cell stochastic gene expression.

Single-cell gene expression is inherently stochastic; its emergent behavior can be defined in terms of the chemical master equation describing the evolution of the mRNA and protein copy numbers as the latter tends to infinity. We establish two types of "macroscopic limits": the Kurtz limit is consistent with the classical chemical kinetics, while the Lévy limit provides a theoretical foundation...

Stochastic gene expression in a single cell.

Clonal populations of cells exhibit substantial phenotypic variation. Such heterogeneity can be essential for many biological processes and is conjectured to arise from stochasticity, or noise, in gene expression. We constructed strains of Escherichia coli that enable detection of noise and discrimination between the two mechanisms by which it is generated. Both stochasticity inherent in the bi...

Stochastic Simulation of Gene Expression in a Single Cell

In this paper, we onsider two sto hasti models of gene expression in prokaryoti ells. In the rst model, sixteen bio hemi al rea tions involved in trans ription, translation and trans riptional regulation in the presen e of indu er mole ules are onsidered. The time evolution of the number of biomole ules of a parti ular type is determined using the sto hasti simulation method based on the Gilles...

Inferring single-cell gene expression mechanisms using stochastic simulation

MOTIVATION Stochastic promoter switching between transcriptionally active (ON) and inactive (OFF) states is a major source of noise in gene expression. It is often implicitly assumed that transitions between promoter states are memoryless, i.e. promoters spend an exponentially distributed time interval in each of the two states. However, increasing evidence suggests that promoter ON/OFF times c...

Monoallelic expression as an emergent property of stochastic gene regulation