Stochastic Dynamics of Biological Network Regulated by Small RNA

Recently, the experimental data displayed that the small RNA played the important role in the gene regulatory network, furthermore , the noises and delay are ubiquitous in the nature and play the important role, so we should investigated the small RNA network with noises and delay and study the dynamical behaviors. In this paper, we studied the nonlinear dynamics of the model by using the theory of nonlinear dynamical system and obtained some results as follows: (1) the system against the small noise is robust;(2) the small noises have the impact on the amplitudes;(3) the large amplitude noises have the significant effect on the cycle in the system. These theoretical results can help us understand the process of gene regulatory.

[1]  D. Bray.  Molecular Networks: The Top-Down View , 2003, Science.

[2]  Ming-Jing Hwang,et al.  The role of microRNA in the delayed negative feedback regulation of gene expression. , 2007, Biochemical and biophysical research communications.

[3]  Ertugrul M. Ozbudak,et al.  Regulation of noise in the expression of a single gene , 2002, Nature Genetics.

[4]  Jianwei Shen,et al.  Oscillatory dynamics in a simple gene regulatory network mediated by small RNAs , 2009 .

[5]  P. Swain,et al.  Stochastic Gene Expression in a Single Cell , 2002, Science.

[6]  A. Goldbeter,et al.  Robustness of circadian rhythms with respect to molecular noise , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[7]  P. Swain,et al.  Intrinsic and extrinsic contributions to stochasticity in gene expression , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[8]  T. Disotell,et al.  The art of genes: How organisms make themselves , 2001 .

[9]  J. Dunlap.  Molecular Bases for Circadian Clocks , 1999, Cell.

[10]  N. Monk.  Oscillatory Expression of Hes1, p53, and NF-κB Driven by Transcriptional Time Delays , 2003, Current Biology.

[11]  S. Leibler,et al.  Robustness in simple biochemical networks , 1997, Nature.

[12]  N. Gostling,et al.  From DNA to Diversity: Molecular Genetics and the Evolution of Animal Design , 2002, Heredity.

[13]  Julian Lewis.  Autoinhibition with Transcriptional Delay A Simple Mechanism for the Zebrafish Somitogenesis Oscillator , 2003, Current Biology.

[14]  Jeffrey W. Smith,et al.  Stochastic Gene Expression in a Single Cell , .

[15]  Ryoichiro Kageyama,et al.  Instability of Hes7 protein is crucial for the somite segmentation clock , 2004, Nature Genetics.

[16]  R. Jackson.  Genomic regulatory systems , 2001 .

[17]  K. Aihara,et al.  Stability of genetic regulatory networks with time delay , 2002 .