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Recent experiments at the level of a single cell have shown that gene expression occurs in abrupt stochastic bursts. Further, in an ensemble of cells, the levels of proteins produced have a bimodal distribution. In a large fraction of cells, the gene expression is either off or has a high value. We propose a stochastic model of gene expression, the essential features of which are stochasticity and cooperative binding of RNA polymerase. The model can reproduce the bimodal behavior seen in experiments.
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