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Acta Mathematicae Applicatae Sinica 2008, Vol. 24 Issue (4) :563-572    DOI:
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Stochastic Noise in Auto-regulatory Genetic Network: Model-dependence andStatistical Complication

Ying-zi Shang

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Abstract For the single gene network model, there are two basic
types. For convenience, we call them Type I and Type II,
respectively. The Type I model describes both the dynamics of mRNA
and protein. The Type II model is a simplification of the Type I
model based on the assumption that the change rate of mRNA is much
faster than protein because the half-life of mRNA is short compared
with that of protein. the Type II model describes only the dynamics
of protein. The analysis of the Type I model is based on the
assumption that the ratio of the protein decay rate to the mRNA
decay rate is small enough. The main results for Type I model show
that the Fano factor of the protein must be bigger than one if there
is no negative feedback on the transcription. If there is negative
feedback, the relative fluctuation strength in the number of
proteins is determined by the size of the feedback regulation
strength.
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KeywordsGenetic network     
AbstractFor the single gene network model, there are two basic
types. For convenience, we call them Type I and Type II,
respectively. The Type I model describes both the dynamics of mRNA
and protein. The Type II model is a simplification of the Type I
model based on the assumption that the change rate of mRNA is much
faster than protein because the half-life of mRNA is short compared
with that of protein. the Type II model describes only the dynamics
of protein. The analysis of the Type I model is based on the
assumption that the ratio of the protein decay rate to the mRNA
decay rate is small enough. The main results for Type I model show
that the Fano factor of the protein must be bigger than one if there
is no negative feedback on the transcription. If there is negative
feedback, the relative fluctuation strength in the number of
proteins is determined by the size of the feedback regulation
strength.
KeywordsGenetic network     
Received: 1900-01-01;
Cite this article:   
.Stochastic Noise in Auto-regulatory Genetic Network: Model-dependence andStatistical Complication[J]  Acta Mathematicae Applicatae Sinica, 2008,V24(4): 563-572
URL:  
http://www.applmath.com.cn/jweb_yysxxb_en/EN/      或     http://www.applmath.com.cn/jweb_yysxxb_en/EN/Y2008/V24/I4/563
 
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