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首页> 美国卫生研究院文献>Proceedings of the National Academy of Sciences of the United States of America >Special Feature: Complex Systems: From Chemistry to Systems Biology Special Feature: Kinetic laws phase–phase expansions renormalization group and INR calibration
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Special Feature: Complex Systems: From Chemistry to Systems Biology Special Feature: Kinetic laws phase–phase expansions renormalization group and INR calibration

机译：特殊功能：复杂系统：从化学到系统生物学特殊功能：动力学定律相-相扩展重归一化组和INR校准

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摘要

We introduce systematic approaches to chemical kinetics based on the use of phase–phase (log–log) representations of the rate equations. For slow processes, we obtain a corrected form of the mass-action law, where the concentrations are replaced by kinetic activities. For fast reactions, delay expressions are derived. The phase–phase expansion is, in general, applicable to kinetic and transport processes. A mechanism is introduced for the occurrence of a generalized mass-action law as a result of self-similar recycling. We show that our self-similar recycling model applied to prothrombin assays reproduces the empirical equations for the International Normalized Ratio calibration (INR), as well as the Watala, Golanski, and Kardas relation (WGK) for the dependence of the INR on the concentrations of coagulation factors. Conversely, the experimental calibration equation for the INR, combined with the experimental WGK relation, without the use of theoretical models, leads to a generalized mass-action type kinetic law.
机译：我们基于速率方程的相-相（对数-对数）表示法，介绍了化学动力学的系统方法。对于缓慢的过程，我们获得了质量作用定律的校正形式，其中浓度被动力学活性代替。对于快速反应，可以导出延迟表达式。相扩展通常适用于动力学和传输过程。引入了一种机制，用于由于自相似循环而产生广义质量作用定律。我们证明了我们应用于凝血酶原测定的自相似回收模型再现了国际归一化比率校准（INR）以及INR对浓度依赖性的Watala，Golanski和Kardas关系（WGK）的经验方程式凝血因子。相反，在不使用理论模型的情况下，INR的实验校准方程式与实验WGK关系相结合，得出了广义的质量作用型动力学定律。

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