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.
@article{bwmeta1.element.bwnjournal-article-amcv15i4p517bwm,
author = {Verdiere, Nathalie and Denis-Vidal, Lilianne and Joly-Blanchard, Ghislaine and Domurado, Dominique},
title = {Identifiability and estimation of pharmacokinetic parameters for the ligands of the macrophage mannose receptor},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {15},
year = {2005},
pages = {517-526},
zbl = {1104.92027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv15i4p517bwm}
}
Verdiere, Nathalie; Denis-Vidal, Lilianne; Joly-Blanchard, Ghislaine; Domurado, Dominique. 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) pp. 517-526. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv15i4p517bwm/
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