Global entrainment of transcriptional systems to periodic inputs

Details Global entrainment of transcriptional systems to periodic inputs Global entrainment of transcriptional systems to periodic inputs

2009-06-30

arxiv.org/abs/0907.0017v1

Biology

Quantitative Biology

Quantitative Methods

Scientific paper

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.

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