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Stability Analysis of Wnt-ERK cellular signalling by using Nyquist Criterion
Taisei Hidaka,Takashi Nakakuki 제어로봇시스템학회 2017 제어로봇시스템학회 국제학술대회 논문집 Vol.2017 No.10
We have previously reported an analysis method for intracellular signal transduction systems by using Nyquist criterion in which we provided a proof-of-principle study with the Goodwin oscillator as a simple model that is a threedimensional small system with a negative feedback regulation. In this study, we try to apply our method based on Nyquist criterion to a practical cancer cell signalling model on the Wnt-ERK pathway that is a 31-dimensional ordinary differential equation system with the six multiple feedback regulations. In this study, two different feedback loops that are mediated by a same signalling molecule are investigated. By applying our method to the analysis of each feedback loop independently, the effect of them on the stability of the whole system is compared.