We consider the stochastic gene expression process with inter-state flip-flops. An exact steady-state solution to the master equation is obtained. The probability distribution of gene copies shows even-odd number oscillations. The reason the behaviour occurs is an underlying interference of Poisson and Gaussian processes. A master equation previously derived in the adiabatic limit of fast switching by Kepler and Elston 1 is suggested for stochastic gene expression to take into account inter-state switching processes. The master equation contains an extra term that describes the gene copy number  diffusion and is responsible for the oscillations . That means the multistability (multimodality) is induced by the noise caused by the inter-state switching, the stochastic flip-flop process . We also point out to a similar phenomenon in quantum physics.
We consider the stochastic gene expression process with inter-state flip-flops. An exact steady-state solution to the master equation is calculated. One of the main goals in this paper is to investigate whether the probability distribution of gene copies contains even-odd number oscillations. A master equation previously derived in the adiabatic limit of fast switching by Kepler and Elston \mbox{%DIFAUXCMD kepler processes. The master equation contains an extra term that describes the gene copy number unconventional diffusion and is responsible for the oscillations . We also point out to a similar phenomenon in quantum physics.
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obtained. The
calculated. One of the main goals in this paper is to investigate whether the
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shows
contains
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The reason the behaviour occurs is an underlying interference of Poisson and Gaussian processes.
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1
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is suggested for stochastic gene expression to take into account inter-state switching
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unconventional
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. That means the multistability (multimodality) is induced by the noise caused by the inter-state switching, the stochastic flip-flop process