Exact time-dependent solutions for a self-regulating gene.
Phys Rev E Stat Nonlin Soft Matter Phys
; 83(6 Pt 1): 062902, 2011 Jun.
Article
em En
| MEDLINE
| ID: mdl-21797428
ABSTRACT
The exact time-dependent solution for the stochastic equations governing the behavior of a binary self-regulating gene is presented. Using the generating function technique to rephrase the master equations in terms of partial differential equations, we show that the model is totally integrable and the analytical solutions are the celebrated confluent Heun functions. Self-regulation plays a major role in the control of gene expression, and it is remarkable that such a microscopic model is completely integrable in terms of well-known complex functions.
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Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Modelos Genéticos
Tipo de estudo:
Prognostic_studies
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Assunto da revista:
BIOFISICA
/
FISIOLOGIA
Ano de publicação:
2011
Tipo de documento:
Article
País de afiliação:
Brasil