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Identifiability and Parameter Estimation

Department of Physiology, The Uniuersity of Michigan Medical School, Ann Arbor, Michigan

In experiments on biological systems one often cannot measure all state variables (compartments). Given a particular experiment of that type, a basic kinetic parameter may have no effect on the observations; such a parameter is an insensible parameter for that experiment. A parameter may influence the observations and not be uniquely determinable; such a parameter is nonidentifiable for that experiment. Only identifiable parameters can be estimated uniquely, by that experiment. I review the basic theory to check identifiability for a nominal value of a parameter (local identifiability), and present some examples of problems that may arise in estimation. (Journal of Parenteral and Enteral Nutrition 15:55S-59S, 1991)

Journal of Parenteral and Enteral Nutrition, Vol. 15, No. 3, 55S-59S (1991)
DOI: 10.1177/014860719101500355S


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