Critical Transitions In a Model of a Genetic Regulatory System
Chaotic Dynamics
2014-03-13 v2 Computational Engineering, Finance, and Science
Computational Geometry
Analysis of PDEs
Genomics
Quantitative Methods
Abstract
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).
Keywords
Cite
@article{arxiv.1309.7919,
title = {Critical Transitions In a Model of a Genetic Regulatory System},
author = {Jesse Berwald and Marian Gidea},
journal= {arXiv preprint arXiv:1309.7919},
year = {2014}
}
Comments
19 pages, 8 figures