Role of delay in the stochastic creation process

Details Role of delay in the stochastic creation process Role of delay in the stochastic creation process

2011-05-31

arxiv.org/abs/1105.6311v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We develop an approximate theoretical method to study discrete stochastic birth and death models that include a delay time. We analyze the effect of the delay in the fluctuations of the system and obtain that it can qualitatively alter them. We also study the effect of distributed delay. We apply the method to a protein-dynamics model that explicitly includes transcription and translation delays. The theoretical model allows us to understand in a general way the interplay between stochasticity and delay.

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