Translation-invariant monotone systems, and a global convergence result for enzymatic futile cycles
Translation-invariant monotone systems, and a global convergence result for enzymatic futile cycles
复制标题
DOI：
10.1016/j.nonrwa.2006.09.006
复制
发表时间：
2008-02-01
影响因子：
2
通讯作者：
Sontag, Eduardo D.
中科院分区：
文献类型：
--
作者：
Angeli, David;Sontag, Eduardo D.
证明了具有一定的投影不变性的强单调常微分方程组具有所有投影解收敛到唯一平衡点的性质。这个结果可以看作是米耶琴斯基关于满足守恒律的系统的一个著名定理的对偶。作为一个应用，它表明，酶无效循环具有全局收敛性。(c)2006爱思唯尔有限公司保留所有权利。
Strongly monotone systems of ordinary differential equations which have a certain translation-invariance property are shown to have the property that all projected solutions converge to a unique equilibrium. This result may he seen as a dual of a well-known theorem of Mierczynski for systems that satisfy a conservation law. As an application, it is shown that enzymatic futile cycles have a global convergence property. (c) 2006 Elsevier Ltd. All rights reserved.