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标题：Dynamic Analysis of Quorum-sensing Genetic Oscillators with the Influence of External Medium 1 1 This work was partially supported by the National Natural Science Foundation of China under Grants 61633011, 61503282, 61672245, 61472374 and 61672112.
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作者：Guang Ling ; Zhi-Hong Guan ; Bin Hu 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：12131-12136
DOI：10.1016/j.ifacol.2017.08.2150
语种：English
出版社：Elsevier
摘要：AbstractLiving organisms have the capacity to exhibit elaborate rhythmic behaviors. These complex behaviors are controlled by biochemical networks themselves as well as environmental clues. Quorum sensing refers to the typical intercellular communication mechanism executed by certain small molecule. This paper undertakes a dynamic analysis of single amoeba Dictyostelium cell, which is a representative genetic unicellular oscillator, communicating with others through quorum sensing. Apply the theory of vibration rather than center manifold method, our focal attention is dedicated to the kinetic influence of external signaling medium cAMP. The equilibrium existence condition is discussed, and near Hopf bifurcation point, the approximate solution is derived by Lindstedt’s method. Several numerical simulations are conducted to demonstrate our results.
关键词：KeywordsGenetic regulatory networksdynamics analysisHopf bifurcationquorum-sensing mechanismexternal medium