Title :
On oscillatory dynamics of small-RNAs-mediated two-gene regulatory networks
Author :
Min Xiao ; Wei Xing Zheng
Author_Institution :
Sch. of Math. & Inf. Technol., Nanjing Xiaozhuang Univ., Nanjing, China
Abstract :
This paper studies oscillatory dynamics of two-gene regulatory networks which are mediated by small RNAs (sRNAs) and subject to multiple delays. First, stability of the positive fixed point and the existence of the local Hopf bifurcation are examined for sRNAs-mediated two-gene regulatory networks. Then sufficient conditions for periodic oscillation are established for such networks with multiple delays. Computer simulations are presented to illustrate the proposed results.
Keywords :
RNA; bifurcation; biomedical electronics; circuit stability; delay circuits; oscillators; local Hopf bifurcation; multiple delay network; periodic oscillation dynamics; positive fixed point stability; small-RNA-mediated two-gene regulatory network; Bifurcation; Delays; Mathematical model; Oscillators; Proteins; RNA; Stability analysis;
Conference_Titel :
Circuits and Systems (ISCAS), 2013 IEEE International Symposium on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-5760-9
DOI :
10.1109/ISCAS.2013.6572209
