Exact solution of a stochastic protein dynamics model with delayed degradation

Details Exact solution of a stochastic protein dynamics model with delayed degradation Exact solution of a stochastic protein dynamics model with delayed degradation

2011-06-30

arxiv.org/abs/1106.6306v2

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We study a stochastic model of protein dynamics that explicitly includes delay in the degradation. We rigorously derive the master equation for the processes and solve it exactly. We show that the equations for the mean values obtained differ from others intuitively proposed and that oscillatory behavior is not possible in this system. We discuss the calculation of correlation functions in stochastic systems with delay, stressing the differences with Markovian processes. The exact results allow to clarify the interplay between stochasticity and delay.

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