Global Entrainment of Transcriptional Systems to Periodic Inputs

@inproceedings{Russo2010GlobalEO,
  title={Global Entrainment of Transcriptional Systems to Periodic Inputs},
  author={Giovanni Russo and Mario di Bernardo and Eduardo D. Sontag},
  booktitle={PLoS Computational Biology},
  year={2010}
}
This paper addresses the problem of providing mathematical conditions that allow one to ensure that biological networks, such as transcriptional systems, can be globally entrained to external periodic inputs. Despite appearing obvious at first, this is by no means a generic property of nonlinear dynamical systems. Through the use of 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… CONTINUE READING
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An observation regarding systems which converge to steady states for all constant inputs, yet become chaotic with periodic inputs

  • ED Sontag
  • 2009
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