Sen A K
Department of Mathematical Sciences, Purdue University School of Science, Indianapolis, Indiana 46205.
Math Biosci. 1990 Dec;102(2):191-223. doi: 10.1016/0025-5564(90)90062-4.
A topological approach is presented for the analysis of control and regulation in metabolic pathways. In this approach, the control structure of a metabolic pathway is represented by a weighted directed graph. From an inspection of the topology of the graph, the control coefficients of the enzymes are evaluated in a heuristic manner in terms of the enzyme elasticities. The major advantage of the topological approach is that it provides a visual framework for (1) calculating the control coefficients of the enzymes, (2) analyzing the cause-effect relationships of the individual enzymes, (3) assessing the relative importance of the enzymes in metabolic regulation, and (4) simplifying the structure of a given pathway, from a regulatory viewpoint. Results are obtained for (a) an unbranched pathway in the absence of feedback the feedforward regulation and (b) an unbranched pathway with feedback inhibition. Our formulation is based on the metabolic control theory of Kacser and Burns (1973) and Heinrich and Rapoport (1974).
本文提出一种拓扑方法用于分析代谢途径中的控制与调节。在这种方法中，代谢途径的控制结构由加权有向图表示。通过检查图的拓扑结构，根据酶的弹性以启发式方式评估酶的控制系数。拓扑方法的主要优点在于它为以下方面提供了一个可视化框架：（1）计算酶的控制系数；（2）分析各个酶的因果关系；（3）评估酶在代谢调节中的相对重要性；（4）从调节角度简化给定途径的结构。得到了以下结果：（a）无反馈和前馈调节的无分支途径；（b）有反馈抑制的无分支途径。我们的公式基于Kacser和Burns（1973年）以及Heinrich和Rapoport（1974年）的代谢控制理论。
