Quasi-steady-state approximation for chemical reaction networks
Quasi-steady-state approximation for chemical reaction networks
复制标题
化学反应网络的准稳态近似
DOI：
10.1007/s002850050116
复制
发表时间：
1998
影响因子：
1.9
通讯作者：
M. Stiefenhofer
中科院分区：
文献类型：
--
作者：
M. Stiefenhofer
抽象的。 在 Fenichel [4] 的不变流形理论中研究了导致 Heinrich [9] 准稳态近似的参数嵌入，以澄清这种还原为低维系统所需的基本假设。特别是，在这种通用方法中可以避免池变量的概念。此外，慢速子网络对互补的快速子网络的主导影响可以用几何和化学术语来解释，这可以被视为慢速子系统对快速子系统的“奴役”。最后，将结果应用于粘菌通讯系统 [6, 7, 13] 和麦芽糖运输系统 [2, 3]。
Abstract. The parameter embedding leading to the quasi-steady-state approximation of Heinrich [9] is investigated within the theory of invariant manifolds of Fenichel [4] in order to clarify the essential assumptions needed for this reduction to a low dimensional system. In particular, the concept of pool-variables can be avoided in this generalized approach. Moreover, the dominating influence of the slow subnetwork over the complementary fast subnetwork is interpreted geometrically and in chemical terms and this can be seen as an “enslaving” of the fast subsystem by the slow subsystem. Finally, the results are applied to a system of slime mould communication [6, 7, 13] and to a maltose transport system [2, 3].
大肠杆菌麦芽糖结合蛋白的未配体形式对麦芽糖转运的抑制：实验结果和数学处理。
影响因子：
2
作者：
Merino,G;Boos,W;Shuman,HA;Bohl,E
通讯作者：
Bohl,E