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C4476401!4476401!25768447
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pmid25768447      Phys+Rev+E+Stat+Nonlin+Soft+Matter+Phys 2015 ; 91 (2): 020701
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  • Gene regulation and noise reduction by coupling of stochastic processes #MMPMID25768447
  • Ramos AF; Hornos JEM; Reinitz J
  • Phys Rev E Stat Nonlin Soft Matter Phys 2015[Feb]; 91 (2): 020701 PMID25768447show ga
  • Here we characterize the low noise regime of a stochastic model for a negative self-regulating binary gene. The model has two stochastic variables, the protein number and the state of the gene. Each state of the gene behaves as a protein source governed by a Poisson process. The coupling between the the two gene states depends on protein number. This fact has a very important implication: there exist protein production regimes characterized by sub-Poissonian noise because of negative covariance between the two stochastic variables of the model. Hence the protein numbers obey a probability distribution that has a peak that is sharper than those of the two coupled Poisson processes that are combined to produce it. Biochemically, the noise reduction in protein number occurs when the switching of genetic state is more rapid than protein synthesis or degradation. We consider the chemical reaction rates necessary for Poisson and sub-Poisson processes in prokaryotes and eucaryotes. Our results suggest that the coupling of multiple stochastic processes in a negative covariance regime might be a widespread mechanism for noise reduction.
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