Coexistence of multi-attractor in small genetic regulatory networks
作者单位：School of ScienceWuhan University of Technology School of Mechanical Engineering and Electronic InformationChina University of Geosciences
会议名称：《第三十九届中国控制会议》
会议日期：2020年
学科分类：0831[工学-生物医学工程（可授工学、理学、医学学位）] 0711[理学-系统科学] 07[理学] 08[工学] 070104[理学-应用数学] 0701[理学-数学]
关 键 词：Genetic regulatory networks Multi-attractor Structure changes Stability criteria Saddle-node bifurcation
摘 要：The dynamics of living things are obviously complicated. Genetic regulatory networks of organisms have the capacity to show various attractor phenotypes. This paper focus on the coexistence of multiple types of attractors in a simple tri-node genetic motif. We discuss the coexistence of multiple equilibriums for the genetic motif and establish the stability criteria for each equilibrium. The dynamic display of the genetic motif depends on different biochemical parameters and initial *** is proved that the motif at least exists a point attractor for sure, and the point attractor is so special that it is also a structure switching attractor. The topology of the tri-node motif will change into a two-node negative feedback loop under right initial conditions. Besides, the motif may also have other types of attractors（periodic and chaotic attractors） under some biochemical parameters. Several numerical simulations are illustrated to deepen our insight.