A numerical method for analyzing the stability of Bi-parametric biological systems

doi:10.1109/SYNASC.2016.026

CORC > 重庆绿色智能技术研究院 > 中国科学院重庆绿色智能技术研究院 > 自动推理与认知研究中心

	A numerical method for analyzing the stability of Bi-parametric biological systems
	Chen, Changbo; Wu, Wenyuan
	2016
会议日期	September 24, 2016 - September 27, 2016
会议地点	Timisoara, Romania
DOI	10.1109/SYNASC.2016.026
页码	91-98
通讯作者	Wu, Wenyuan (wuwenyuan@cigit.ac.cn)
英文摘要	For a biological system modeled by a continuous dynamical system defined by rational functions with two parameters, we propose a numerical method to compute the fold and Hopf bifurcation boundaries of the system restricted in a finite region in the parametric space under certain assumptions. The bifurcation boundaries divide their complement in the region into connected subsets, called cells, such that above each of them the number of equilibria is constant and the stability of each equilibrium remains unchanged. The boundaries are generated by first tracing the fold and Hopf bifurcation curves in a higher dimensional space and then projecting them onto the parameter plane. One advantage of this method is that it can exploit global information of real varieties and generate complete boundaries based on homotopy continuation methods and critical point techniques. The bistability properties of several biological systems are successfully analyzed by our method. © 2016 IEEE.
会议录	18th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, SYNASC 2016
语种	英语
内容类型	会议论文
源URL	[http://119.78.100.138/handle/2HOD01W0/4855]
专题	自动推理与认知研究中心
作者单位	Chongqing Key Laboratory of Automated Reasoning and Cognition, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing, China
推荐引用方式 GB/T 7714	Chen, Changbo,Wu, Wenyuan. A numerical method for analyzing the stability of Bi-parametric biological systems[C]. 见:. Timisoara, Romania. September 24, 2016 - September 27, 2016.