Protein synthesis driven by dynamical stochastic transcription
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Data
2016
Autores
Innocentini, Guilherme C. P.
Forger, Michael
Radulescu, Ovidiu
Antoneli, Fernando [UNIFESP]
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In this manuscript, we propose a mathematical framework to couple transcription and translation in which mRNA production is described by a set of master equations, while the dynamics of protein density is governed by a random differential equation. The coupling between the two processes is given by a stochastic perturbation whose statistics satisfies the master equations. In this approach, from the knowledge of the analytical time-dependent distribution of mRNA number, we are able to calculate the dynamics of the probability density of the protein population.
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Bulletin Of Mathematical Biology. New york, v. 78, n. 1, p. 110-131, 2016.