代谢途径中过渡时间理论的推广：一种几何方法。
Generalization of the theory of transition times in metabolic pathways: a geometrical approach.
作者信息
Lloréns M, Nuño J C, Rodríguez Y, Meléndez-Hevia E, Montero F
机构信息
Departamento de Bioquímica y Biología Molecular I, Facultad de Ciencias Químicas, Universidad Complutense, 28040 Madrid, Spain.
出版信息
Biophys J. 1999 Jul;77(1):23-36. doi: 10.1016/S0006-3495(99)76869-4.
Cell metabolism is able to respond to changes in both internal parameters and boundary constraints. The time any system variable takes to make this response has relevant implications for understanding the evolutionary optimization of metabolism as well as for biotechnological applications. This work is focused on estimating the magnitude of the average time taken by any observable of the system to reach a new state when either a perturbation or a persistent variation occurs. With this aim, a new variable, called characteristic time, based on geometric considerations, is introduced. It is stressed that this new definition is completely general, being useful for evaluating the response time, even in complex transitions involving periodic behavior. It is shown that, in some particular situations, this magnitude coincides with previously defined transition times but differs drastically in others. Finally, to illustrate the applicability of this approach, a model of a reaction mediated by an allosteric enzyme is analyzed.
细胞代谢能够对内部参数和边界条件的变化做出响应。任何系统变量做出这种响应所需的时间，对于理解代谢的进化优化以及生物技术应用都具有重要意义。这项工作的重点是估计当发生扰动或持续变化时，系统的任何可观测变量达到新状态所需的平均时间的大小。为此，基于几何考虑引入了一个新的变量，称为特征时间。需要强调的是，这个新定义是完全通用的，即使在涉及周期性行为的复杂转变中，也有助于评估响应时间。结果表明，在某些特定情况下，这个大小与先前定义的转变时间一致，但在其他情况下则有很大差异。最后，为了说明这种方法的适用性，分析了一个由别构酶介导的反应模型。
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