PARAMETER-ESTIMATION - LOCAL IDENTIFIABILITY OF PARAMETERS
PARAMETER-ESTIMATION - LOCAL IDENTIFIABILITY OF PARAMETERS
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DOI：
10.1152/ajpendo.1990.258.4.e727
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发表时间：
1990-04-01
影响因子：
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通讯作者：
PERRY, T
中科院分区：
文献类型：
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作者：
JACQUEZ, JA;PERRY, T
对于生物系统，通常无法设置实验来测量所有状态变量。如果只能测量状态变量的子集，则某些系统参数可能不会影响测得的状态变量，或者它们在不分别定义参数效应的组合中这样做。这样的参数是无法识别的，从理论上讲是无法估量的。给定系统模型，线性或非线性以及所有参数值的初始估计值，我们展示了一个简单的理论，并描述了一个程序，用于检查模型上给定实验的初始估计值的参数的局部识别性。该程序可从作者获得该程序。
For biological systems one often cannot set up experiments to measure all of the state variables. If only a subset of the state variables can be measured, it is possible that some of the system parameters cannot influence the measured state variables or that they do so in combinations that do not define the parameters'' effects separately. Such parameters are unidentifiable and are in theory unestimable. Given a model of the system, linear or nonlinear, and initial estimates of the values of all parameters, we exhibit a simple theory and describe a program for checking the local identifiability of the parameters at the initial estimates for given experiments on the model. The program, IDENT, is available from the authors.