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1 International Journal of Applied Mathematics and Computer Science

1 2005

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Identifiability and estimation of pharmacokinetic parameters for the ligands of the macrophage mannose receptor

Verdiere N., Denis-Vidual L, Joly-Blanchard G., Domurado D.

International Journal of Applied Mathematics and Computer Science

2005

Vol. 15, no 4

517-526

The aim of this paper is numerical estimation of pharmacokinetic parameters of the ligands of the macrophage mannose receptor, without knowing a priori the values of these parameters. However, it first requires a model identifiability analysis, which is done by applying an algorithm implemented in a symbolic computation language. It is shown that this step can lead to a direct numerical estimation algorithm. In this way, a first estimate is computed from noisy simulated observations without a priori parameter values. Then the resulting parameter estimate is improved by using the classical least-squares method.