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, Tome 15 (2005) no. 4, pp. 517-526.

Résumé

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.

Détail

Keywords: nonlinear systems, identifiability, parameter estimation, biological applications
Mots-clés : układ nieliniowy, identyfikowalność, estymacja parametrów, zastosowania biologiczne

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