System reduction of nonlinear positive systems by linearization and truncation

被引：0
|
作者：
Hardin, Hanna M.
van Schuppen, Jan H.
机构：
[1] Free Univ Amsterdam, Dept Mol Cell Physiol, NL-1081 HV Amsterdam, Netherlands
[2] CWI, NL-1090 GB Amsterdam, Netherlands
来源：
POSITIVE SYSTEMS, PROCEEDINGS | 2006年 / 341卷
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
System reduction is applied to a mathematical model of glycolysis in yeast and to a chain network without and with feedback. The method of system reduction used is linearization of a rational positive system at a steady state, balancing of the local linear system, and truncation of the balanced linear system. For a model of glycolysis in yeast with glucose as input and pyruvate as output, it is shown that a third order linear system locally approximates well the original thirteenth order nonlinear system.
引用
收藏
页码：431 / 438
页数：8
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