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  • 标题:Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curves
  • 本地全文:下载
  • 作者:Luu Hoang Duc ; Joseph Páez Chávez ; Doan Thai Son
  • 期刊名称:Journal of Biological Dynamics
  • 印刷版ISSN:1751-3758
  • 电子版ISSN:1751-3766
  • 出版年度:2016
  • 卷号:10
  • 期号:1
  • 页码:379-394
  • DOI:10.1080/17513758.2016.1204016
  • 出版社:Taylor & Francis
  • 摘要:In biochemical networks transient dynamics plays a fundamental role, since the activation of signalling pathways is determined by thresholds encountered during the transition from an initial state (e.g. an initial concentration of a certain protein) to a steady-state. These thresholds can be defined in terms of the inflection points of the stimulus–response curves associated to the activation processes in the biochemical network. In the present work, we present a rigorous discussion as to the suitability of finite-time Lyapunov exponents and metabolic control coefficients for the detection of inflection points of stimulus–response curves with sigmoidal shape.
  • 关键词:Finite-time Lyapunov spectrum; transient dynamics; sigmoidal response curve; nonautonomous dynamical system
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