Jacquez J A, Perry T
Department of Physiology, University of Michigan, Ann Arbor 48109-0622.
Am J Physiol. 1990 Apr;258(4 Pt 1):E727-36. doi: 10.1152/ajpendo.1990.258.4.E727.
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.
对于生物系统，人们常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一个子集，那么可能存在一些系统参数无法影响所测量的状态变量，或者它们以无法分别定义参数效应的组合方式产生影响。这样的参数是不可识别的，理论上也是无法估计的。给定系统的一个模型，线性或非线性的，以及所有参数值的初始估计，我们展示了一个简单的理论，并描述了一个程序，用于在给定模型实验的初始估计下检查参数的局部可识别性。该程序IDENT可从作者处获取。
