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

Nathalie Verdiere; Lilianne Denis-Vidal; Ghislaine Joly-Blanchard; Dominique Domurado

International Journal of Applied Mathematics and Computer Science (2005)

  • Volume: 15, Issue: 4, page 517-526
  • ISSN: 1641-876X

Abstract

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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.

How to cite

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Verdiere, Nathalie, et al. "Identifiability and estimation of pharmacokinetic parameters for the ligands of the macrophage mannose receptor." International Journal of Applied Mathematics and Computer Science 15.4 (2005): 517-526. <http://eudml.org/doc/207763>.

@article{Verdiere2005,
abstract = {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.},
author = {Verdiere, Nathalie, Denis-Vidal, Lilianne, Joly-Blanchard, Ghislaine, Domurado, Dominique},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {identifiability; biological applications; nonlinear systems; parameter estimation},
language = {eng},
number = {4},
pages = {517-526},
title = {Identifiability and estimation of pharmacokinetic parameters for the ligands of the macrophage mannose receptor},
url = {http://eudml.org/doc/207763},
volume = {15},
year = {2005},
}

TY - JOUR
AU - Verdiere, Nathalie
AU - Denis-Vidal, Lilianne
AU - Joly-Blanchard, Ghislaine
AU - Domurado, Dominique
TI - Identifiability and estimation of pharmacokinetic parameters for the ligands of the macrophage mannose receptor
JO - International Journal of Applied Mathematics and Computer Science
PY - 2005
VL - 15
IS - 4
SP - 517
EP - 526
AB - 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.
LA - eng
KW - identifiability; biological applications; nonlinear systems; parameter estimation
UR - http://eudml.org/doc/207763
ER -

References

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