Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curves

Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curves
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用于刺激反应曲线阈值检测的有限时间李亚普诺夫指数和代谢控制系数

DOI:
10.1080/17513758.2016.1204016
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发表时间:
2016
影响因子:
2.8
通讯作者:
S. Siegmund
S. Siegmund
中科院分区:
生物学4区
文献类型:
--
作者:
L.H. Duc;J. Páez Chávez;D.T. Son;S. Siegmund

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在生物化学网络中,瞬态动力学起着重要的作用,因为信号通路的激活是由从初始状态(例如某种蛋白质的初始浓度)到稳态过渡期间遇到的阈值决定的。这些阈值可以根据与生化网络中的激活过程相关联的刺激-响应曲线的拐点来定义。在目前的工作中,我们提出了一个严格的讨论有限时间的李雅普诺夫指数和代谢控制系数的拐点的检测与S形形状的刺激反应曲线的适用性。
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 (eg 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.
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