Identifiability and estimation of pharmacokinetic parameters for the ligands of the macrophage mannose receptor
International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 4, p. 517.

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The aim of this paper is numerical estimation of pharmacokinetic parameters of the ligands of the macrophage mannose receptor, without knowing it 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 it a priori parameter values. Then the resulting parameter estimate is improved by using the classical least-squares method.
Classification : 93B30, 93B40, 68W30, 92C45, 62P10
Mots-clés : identifiability, biological applications, nonlinear systems, parameter estimation 
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     author = {Nathalie Verdiere and Lilianne Denis-Vidal and Ghislaine Joly-Blanchard and Dominique Domurado},
     title = {Identifiability and estimation of pharmacokinetic parameters for the ligands of the macrophage mannose receptor},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {517},
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     zbl = {1104.92027},
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Nathalie Verdiere; Lilianne Denis-Vidal; Ghislaine Joly-Blanchard; Dominique Domurado. Identifiability and estimation of pharmacokinetic parameters for the ligands of the macrophage mannose receptor. International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) no. 4, p. 517. https://geodesic-test.mathdoc.fr/item/IJAMCS_2005__15_4_207763/