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.
Received: 06 January 2007
Revised: 19 March 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No~10672093) and
Innovation Foundation of Shanghai University for Postgraduates, China. %, 70431002,10672093).
Cite this article:
Li Ying(李莹), Liu Zeng-Rong(刘曾荣), and Zhang Jian-Bao(张建宝) Dynamics of network motifs in genetic regulatory networks 2007 Chinese Physics 16 2587
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