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非线性微分方程参数估计中的一些经验

Some experiences in the estimation of parameters in non-linear differential equations.

作者信息

Barnes J G.P.

机构信息

, Reading, England

出版信息

FEBS Lett. 1969 Mar;2 Suppl 1:S63-S69. doi: 10.1016/0014-5793(69)80078-5.

DOI:10.1016/0014-5793(69)80078-5
PMID:11946366
Abstract

The author describes a procedure developed by himself and his colleagues for obtaining estimates of the parameters of rate equations, together with information about confidence regions for the estimates. The program has been used successfully for processing results from the chemical engineering industry, with highly non-linear model systems, particularly since temperature was a variable, and the "rate constants" were non-linear combinations of other constants. In biochemical situations, in which investigations are almost always at constant temperature, the non-linearity should not be so extreme, and the procedure may well be capable of dealing with more than 5 to 7 parameters for which it is recommended.

摘要

作者描述了一种由他自己和同事开发的程序,用于获得速率方程参数的估计值,以及关于这些估计值置信区间的信息。该程序已成功用于处理化学工程行业的结果,这些结果来自高度非线性模型系统,特别是因为温度是一个变量,且“速率常数”是其他常数的非线性组合。在生化领域的情况中,研究几乎总是在恒温条件下进行,非线性程度应该不会那么极端,并且该程序很可能能够处理超过其所推荐的5至7个参数。

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