非多项式动力学的稳定性理论
The stability theory of nonpolynomial kinetics.
作者信息
Nazarea A D, Rice S A
出版信息
Proc Natl Acad Sci U S A. 1971 Oct;68(10):2502-4. doi: 10.1073/pnas.68.10.2502.
Abstract
The results of an investigation of the formal stability behavior of equivalent classes of kinetic equations (generated by stability constraint specifications) that are general enough to include nonpolynomial kinetics are outlined. The immediate motivation for the study arose from the need for a comprehensive theory when steric interactions in biosynthetic networks are explicitly taken into account.
摘要
本文概述了对动力学方程等价类（由稳定性约束规范生成）形式稳定性行为的研究结果，这些等价类具有足够的通用性，能够涵盖非多项式动力学。该研究的直接动机源于在明确考虑生物合成网络中的空间相互作用时，需要一个全面的理论。
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Studies in the stability theory of complex homogeneous kinetics. I. Fundamental formalism.复相均相动力学稳定性理论研究。I. 基本形式体系。
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本文引用的文献
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Feedback inhibition of aspartate transcarbamylase in liver and in hepatoma.
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Feedback inhibition of thymodine kinase by thymodine triphosphate.三磷酸胸苷对胸苷激酶的反馈抑制作用。
J Biol Chem. 1963 Apr;238:1467-74.
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Feedback inhibition of purine biosynthesis in ascites tumor cells.腹水肿瘤细胞中嘌呤生物合成的反馈抑制
J Biol Chem. 1962 Aug;237:2631-5.
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Control of pyrimidine biosynthesis in Escherichia coli by a feed-back mechanism.大肠杆菌中嘧啶生物合成的反馈调节机制。
J Biol Chem. 1956 Aug;221(2):757-70.
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On the stability of the kinetics of a certain class of biomolecular reactions.关于某类生物分子反应动力学的稳定性
Biophysik. 1971;7(2):85-94. doi: 10.1007/BF01190140.
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