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Global entrainment of transcriptional systems to periodic inputs

Authors
  • Russo, Giovanni
  • di Bernardo, Mario
  • Sontag, Eduardo D.
Type
Preprint
Publication Date
Jun 30, 2009
Submission Date
Jun 30, 2009
Identifiers
DOI: 10.1371/journal.pcbi.1000739
Source
arXiv
License
Yellow
External links

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.

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