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Backward-stochastic-differential-equation approach to modeling of gene expression

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Autor(es):
Shamarova, Evelina ; Chertovskih, Roman ; Ramos, Alexandre F. ; Aguiar, Paulo
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: Physical Review E; v. 95, n. 3, p. 9-pg., 2017-03-29.
Resumo

In this article, we introduce a backward method to model stochastic gene expression and protein-level dynamics. The protein amount is regarded as a diffusion process and is described by a backward stochastic differential equation (BSDE). Unlike many other SDE techniques proposed in the literature, the BSDE method is backward in time; that is, instead of initial conditions it requires the specification of end-point ("final") conditions, in addition to the model parametrization. To validate our approach we employ Gillespie's stochastic simulation algorithm (SSA) to generate (forward) benchmark data, according to predefined gene network models. Numerical simulations show that the BSDE method is able to correctly infer the protein-level distributions that preceded a known final condition, obtained originally from the forward SSA. This makes the BSDE method a powerful systems biology tool for time-reversed simulations, allowing, for example, the assessment of the biological conditions (e.g., protein concentrations) that preceded an experimentally measured event of interest (e.g., mitosis, apoptosis, etc.). (AU)

Processo FAPESP: 13/01242-8 - Geração de campos magnéticos de grandes escalas por convecção de Rayleigh-Bénard
Beneficiário:Roman Chertovskikh
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado