Title :
On bistability in genetic double-negative feedback loop with positive autoregulations
Author :
Ling Guang ; He Ding-Xin ; Guan Zhi-Hong ; Zhang Xian-He ; Zhan Xi-Sheng
Author_Institution :
Coll. of Autom., Huazhong Univ. of Sci. & Technol., Wuhan, China
Abstract :
This paper focuses on bistability in a class of simplified double-negative feedback loop with positive autoregulations (DNFLPAs). The existence criteria of multiple equilibriums is established and the stability conditions are derived for each equilibrium. The effect of each biochemical parameters on bistability is explained. At last, several numerical simulations are carried out to deepen our analysis.
Keywords :
biocontrol; feedback; genetics; numerical analysis; stability; DNFLPA; biochemical parameters; bistability; genetic double-negative feedback loop; genetic regulatory networks; multiple equilibrium criteria; numerical simulations; positive autoregulations; stability conditions; Biological system modeling; Equations; Genetics; Mathematical model; Proteins; Stability criteria; Double-negative feedback loop; Genetic Regulatory Networks; Multistability; Positive autoregulation;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6897095
