@ARTICLE{russo_dibernardo_sontag09,
   AUTHOR       = {G. Russo and di Bernardo, M. and E.D. Sontag},
   JOURNAL      = {PLoS Computational Biology},
   TITLE        = {Global entrainment of transcriptional systems to 
      periodic inputs},
   YEAR         = {2010},
   OPTMONTH     = {},
   OPTNOTE      = {},
   OPTNUMBER    = {},
   PAGES        = {e1000739},
   VOLUME       = {6},
   KEYWORDS     = {contractive systems, contractions, systems biology, 
      biochemical networks, gene and protein networks},
   PDF          = {../../FTPDIR/russo_dibernardo_sontag_entrainment_plos2010.pdf},
   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 fixed limit cycles. General results are proved, and the 
      properties are verified in the specific case of some models of 
      transcriptional systems. }
}

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