Global entrainment of transcriptional systems to periodic inputs
Quantitative Methods
2015-05-13 v1 Molecular Networks
Abstract
This paper addresses the problem of giving conditions for transcriptional systems to be globally entrained to external periodic inputs. By using contraction theory, a powerful tool from dynamical systems theory, it is shown that certain systems driven by external periodic signals have the property that all solutions converge to a fixed limit cycle. General results are proved, and the properties are verified in the specific case of some models of transcriptional systems. The basic mathematical results needed from contraction theory are proved in the paper, making it self-contained.
Keywords
Cite
@article{arxiv.0907.0017,
title = {Global entrainment of transcriptional systems to periodic inputs},
author = {Giovanni Russo and Mario di Bernardo and Eduardo D. Sontag},
journal= {arXiv preprint arXiv:0907.0017},
year = {2015}
}