| Full text | |
| Author(s): |
Innocentini, Guilherme C. P.
[1, 2]
;
Forger, Michael
[1]
;
Radulescu, Ovidiu
[2]
;
Antoneli, Fernando
[3, 4]
Total Authors: 4
|
| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat Aplicada, Rua Matao 1010, Cidade Univ, BR-05508090 Sao Paulo, SP - Brazil
[2] Univ Montpellier 2, UMR 5235, DIMNP, Pl E Bataillon, Bat 24, F-34095 Montpellier 5 - France
[3] Univ Fed Sao Paulo, Escola Paulista Med, Lab Genom Evolut & Biocomplexidade, Rua Pedro de Toledo 669, 4th Floor, BR-04039032 Sao Paulo, SP - Brazil
[4] Univ Fed Sao Paulo, Escola Paulista Med, DIS, Rua Pedro de Toledo 669, 4th Floor, BR-04039032 Sao Paulo, SP - Brazil
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | Bulletin of Mathematical Biology; v. 78, n. 1, p. 110-131, JAN 2016. |
| Web of Science Citations: | 4 |
| Abstract | |
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. (AU) | |
| FAPESP's process: | 12/04723-4 - Analysis of the transcription noise in protein synthesis: Multimodality, self-regulation and external regulation |
| Grantee: | Guilherme da Costa Pereira Innocentini |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |