EXISTENCE OF STABLE LIMIT-CYCLES FOR ENZYME CATALYZED REACTIONS WITH POSITIVE FEEDBACK

被引：22

作者：

ERLE, D ^{[1
]}

MAYER, KH ^{[1
]}

PLESSER, T ^{[1
]}

机构：

[1] MAX PLANCK INST ERNAHRUNGSPHYSIOL,D-4600 DORTMUND 1,FED REP GER

来源：

MATHEMATICAL BIOSCIENCES | 1979年 / 44卷 / 3-4期

关键词：

D O I：

10.1016/0025-5564(79)90081-6

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Many models of open enzyme regulated systems are given by two first order differential equations of a certain type. We present a set of biochemically reasonable conditions for the rate laws which imply the existence of observable oscillations. A simple positive feedback mechanism is discussed as an example. Results on the allosteric model of glycolytic oscillations, which were formerly obtained by linear stability analysis and computer simulation, are extended and verified by mathematical proofs. © 1979.

引用

页码：191 / 208

页数：18

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