中国物理B ›› 2007, Vol. 16 ›› Issue (9): 2587-2594.doi: 10.1088/1009-1963/16/9/015

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Dynamics of network motifs in genetic regulatory networks

李莹1, 张建宝1, 刘曾荣2   

  1. (1)Department of Mathematics, Shanghai University, Shanghai 200444, China; (2)Institute of Systems Biology, Shanghai University, Shanghai 200444, China
  • 收稿日期:2007-01-06 修回日期:2007-03-19 出版日期:2007-09-20 发布日期:2007-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No~10672093) and Innovation Foundation of Shanghai University for Postgraduates, China. %, 70431002,10672093).

Dynamics of network motifs in genetic regulatory networks

Li Ying(李莹)a)†, Liu Zeng-Rong(刘曾荣)b)‡, and Zhang Jian-Bao(张建宝)a)   

  1. a Department of Mathematics, Shanghai University, Shanghai 200444, China; b Institute of Systems Biology, Shanghai University, Shanghai 200444, China
  • Received:2007-01-06 Revised:2007-03-19 Online:2007-09-20 Published:2007-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No~10672093) and Innovation Foundation of Shanghai University for Postgraduates, China. %, 70431002,10672093).

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摘要： Network motifs hold a very important status in genetic regulatory networks. This paper aims to analyse the dynamical property of the network motifs in genetic regulatory networks. The main result we obtained is that the dynamical property of a single motif is very simple with only an asymptotically stable equilibrium point, but the combination of several motifs can make more complicated dynamical properties emerge such as limit cycles. The above-mentioned result shows that network motif is a stable substructure in genetic regulatory networks while their combinations make the genetic regulatory network more complicated.

关键词: genetic regulatory network, motif, feedback loop

Abstract: Network motifs hold a very important status in genetic regulatory networks. This paper aims to analyse the dynamical property of the network motifs in genetic regulatory networks. The main result we obtained is that the dynamical property of a single motif is very simple with only an asymptotically stable equilibrium point, but the combination of several motifs can make more complicated dynamical properties emerge such as limit cycles. The above-mentioned result shows that network motif is a stable substructure in genetic regulatory networks while their combinations make the genetic regulatory network more complicated.

Key words: genetic regulatory network, motif, feedback loop

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
02.60.Cb (Numerical simulation; solution of equations) 87.18.Sn (Neural networks and synaptic communication)