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Autor: Lei, Jinzhi (Comienzo)
2 registros cumplieron la condición especificada en la base de información BIBCYT. ()
Registro 1 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: Lei, Jinzhi ; He, Guowei ; Liu, Haoping ; Nie, Qing
Título: A delay model for noise-induced bi-directional switching*
Páginas/Colación: pp. 2845-2860
Fecha: December
Nonlinearity Vol. 22, no. 12 Diciembre 2009
Información de existenciaInformación de existencia

Resumen
Many biological systems can switch between two distinct states. Once switched, the system remains stable for a period of time and may switch back to its original state. A gene network with bistability is usually required for the switching and stochastic effect in the gene expression may induce such switching. A typical bistable system allows one-directional switching, in which the switch from the low state to the high state or from the high state to the low state occurs under different conditions. It is usually difficult to enable bi-directional switching such that the two switches can occur under the same condition. Here, we present a model consisting of standard positive feedback loops and an extra negative feedback loop with a time delay to study its capability to produce bi-directional switching induced by noise. We find that the time delay in the negative feedback is critical for robust bi-directional switching and the length of delay affects its switching frequency.

Registro 2 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: Lei, Jinzhi ; MACKEY, MICHAEL C.
Título: STOCHASTIC DIFFERENTIAL DELAY EQUATION, MOMENT
Páginas/Colación: pp. 387-407
Url: Ir a http://siamdl.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=SMJMAP000067000002000387000001&idtype=cvipshttp://siamdl.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=SMJMAP000067000002000387000001&idtype=cvips
SIAM Journal on Applied Mathematics Vol. 67, no. 2 Dec./Feb. 2006
Información de existenciaInformación de existencia

Palabras Claves: Palabras: HEMATOPOIETIC DISEASE HEMATOPOIETIC DISEASE, Palabras: MOMENT STABILITY MOMENT STABILITY, Palabras: STOCHASTIC DIFFERENTIAL DELAY EQUATION STOCHASTIC DIFFERENTIAL DELAY EQUATION

Resumen
RESUMEN

RESUMEN

 

We study the moment stability of the trivial solution of a linear differential delay equation in the presence of additive and multiplicative white noise. The results established here are applied to examining the local stability of the hematopoietic stem cell (HSC) regulation system in the presence of noise. The stability of the first moment for the solutions of a linear differential delay equation under stochastic perturbation is identical to that of the unperturbed system. However, the stability of the second moment is altered by the perturbation. We obtain, using Laplace transform techniques, necessary and sufficient conditions for the second moment to be bounded. In applying the results to the HSC system, we find that the system stability is sensitive to perturbations in the stem cell differentiation and death rates, but insensitive to perturbations in the proliferation rate.

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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