Critical Transitions In a Model of a Genetic Regulatory System
نویسندگان
چکیده
We consider a model for substrate-depletion oscillations in genetic systems, based on a stochastic differential equation with a slowly evolving external signal. We show the existence of critical transitions in the system. We apply two methods to numerically test the synthetic time series generated by the system for early indicators of critical transitions: a detrended fluctuation analysis method, and a novel method based on topological data analysis (persistence diagrams).
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عنوان ژورنال:
- CoRR
دوره abs/1309.7919 شماره
صفحات -
تاریخ انتشار 2013