Non-equilibrium dynamics of gene expression and the Jarzynski equality

Abstract

In order to express specific genes at the right time, the transcription of genes is regulated by the presence and absence of transcription factor molecules. With transcription factor concentrations undergoing constant changes, gene transcription takes place out of equilibrium. In this paper we discuss a simple mapping between dynamic models of gene expression and stochastic systems driven out of equilibrium. Using this mapping, results of nonequilibrium statistical mechanics such as the Jarzynski equality and the fluctuation theorem are demonstrated for gene expression dynamics. Applications of this approach include the determination of regulatory interactions between genes from experimental gene expression data.

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• Characterizing steady state and transient properties of reaction-diffusion systems
• Sensitivity of asymmetric rate-dependent critical systems to initial conditions: insights into cellular decision making
• A Model for the Dynamics of Gene Networks