Chemical networks with inflows and outflows: A positive linear differential inclusions approach
Chemical networks with inflows and outflows: A positive linear differential inclusions approach
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DOI：
10.1002/btpr.162
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发表时间：
2009-05
影响因子：
2.9
通讯作者：
D. Angeli;P. De Leenheer;Eduardo Sontag
中科院分区：
文献类型：
--
作者：
D. Angeli;P. De Leenheer;Eduardo Sontag
生化反应网络的某些质量作用动力学模型，虽然由非线性微分方程描述，但可以部分地视为状态相关的线性时变系统，而这反过来又可以由凸紧值的正线性微分内含物来建模。给出了这种内含物的渐近稳定性的结果，并将其应用于无所不在的具有流入和流出的生化反应网络，即无用循环。我们还提供了一般齐次开关系统的指数稳定性的表征，这不仅对其本身感兴趣，而且在无用循环的分析中也起着作用。©2009美国化学工程师学会生物技术。掠夺。, 2009年
Certain mass‐action kinetics models of biochemical reaction networks, although described by nonlinear differential equations, may be partially viewed as state‐dependent linear time‐varying systems, which in turn may be modeled by convex compact valued positive linear differential inclusions. A result is provided on asymptotic stability of such inclusions, and applied to a ubiquitous biochemical reaction network with inflows and outflows, known as the futile cycle. We also provide a characterization of exponential stability of general homogeneous switched systems which is not only of interest in itself, but also plays a role in the analysis of the futile cycle. © 2009 American Institute of Chemical Engineers Biotechnol. Prog., 2009