Exact results for gene-expression models with general waiting-time distributions.
Phys Rev E
; 109(2-1): 024119, 2024 Feb.
Article
em En
| MEDLINE
| ID: mdl-38491572
ABSTRACT
Complex molecular details of transcriptional regulation can be coarse-grained by assuming that reaction waiting times for promoter-state transitions, the mRNA synthesis, and the mRNA degradation follow general distributions. However, how such a generalized two-state model is analytically solved is a long-standing issue. Here we first present analytical formulas of burst-size distributions for this model. Then, we derive an iterative equation for the mRNA moment-generating function, by which mRNA raw and binomial moments of any order can be conveniently calculated. The analytical results obtained in the special cases of phase-type waiting-time distributions not only provide insights into the mechanisms of complex transcriptional regulations but also bring conveniences for experimental data-based statistical inferences.
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1
Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Listas de Espera
/
Modelos Genéticos
Idioma:
En
Revista:
Phys Rev E
Ano de publicação:
2024
Tipo de documento:
Article