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受质量守恒约束的反应网络中的极限环振荡和混沌

Limit-cycle oscillations and chaos in reaction networks subject to conservation of mass.

作者信息

Di Cera E, Phillipson P E, Wyman J

机构信息

Istituto di Fisica, Università Cattolica, Rome, Italy.

出版信息

Proc Natl Acad Sci U S A. 1989 Jan;86(1):142-6. doi: 10.1073/pnas.86.1.142.

Abstract

A cyclic network of autocatalytic reactions involving an unbuffered cofactor and a number of components subject to conservation of mass displays a surprising richness of dynamical behaviors. Limit-cycle oscillations are possible over a wide range of parameter values. Additionally, a cascade of period-doubling bifurcations leading to chaos can coexist with a multiplicity of stable steady states. These results draw attention to the role of unbuffering as a feedback in biochemical systems.

摘要

一个涉及无缓冲辅助因子和多个遵循质量守恒的组分的自催化反应循环网络展现出了令人惊讶的丰富动力学行为。在广泛的参数值范围内都可能出现极限环振荡。此外,导致混沌的倍周期分岔级联可以与多个稳定稳态共存。这些结果使人们关注到无缓冲作为生化系统中一种反馈的作用。

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Transitions between oscillatory modes in a glycolytic model system.糖酵解模型系统中振荡模式的转变。
Proc Natl Acad Sci U S A. 1984 Jul;81(14):4394-8. doi: 10.1073/pnas.81.14.4394.
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