Protein Synthesis Driven by Dynamical Stochastic Transcription
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...
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| Veröffentlicht in: | Bulletin of mathematical biology 2016-01, Vol.78 (1), p.110-131 |
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| container_title | Bulletin of mathematical biology |
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| creator | Innocentini, Guilherme C. P. Forger, Michael Radulescu, Ovidiu Antoneli, Fernando |
| description | 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. |
| doi_str_mv | 10.1007/s11538-015-0131-3 |
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| ispartof | Bulletin of mathematical biology, 2016-01, Vol.78 (1), p.110-131 |
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| subjects | Cell Biology Computer Simulation Gene Expression Life Sciences Mathematical and Computational Biology Mathematical Concepts Mathematics Mathematics and Statistics Models, Genetic Original Article Probability Protein Biosynthesis - genetics RNA, Messenger - biosynthesis RNA, Messenger - genetics Stochastic Processes Transcription, Genetic |
| title | Protein Synthesis Driven by Dynamical Stochastic Transcription |
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