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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  1. Aubree-Lecat A., Hervagault C., Delacour C., Beaude C., Bourdillon C. and Remy M.H. (1989): Direct electrochemical determination of glucose oxidase in biologicalsamples. - Anal. Biochem., Vol. 178, No. 2, pp. 427-430. 
  2. Aubree-Lecat A., Duban M.C., Demignot S., Domurado M., Fournie P. and Domurado D. (1993): Influence of barrier-crossinglimitations on the amount of macromolecular drug taken up by its target. - J. Pharmacokin. Biopharm., Vol. 21, No. 1, pp. 75-98. 
  3. Balazuc A.-M., Lagranderie M., Chavarot P., Pescher P., Roseeuw E., Schacht E.,Domurado D. and Marchal G. (2005): In vivo efficiency of targeted norfloxacin against persistent, isoniazid-insensitive, Mycobacterium bovis BCG present in the physiologically hypoxic mouse liver. - Microbes Infect., Vol. 7, No. 7-8, pp. 969-975. 
  4. Boulier F., Lazard D., Ollivier F. and Petitot M. (1995): Representation for the radical of a finitely generated differential ideal. - Proc. Int. Symp. Symbolic and Algebraic Computation, ISSAC'95, Montreal, Canada, pp. 158-166. Zbl0911.13011
  5. de Bellefontaine C., Josse F., Domurado M. and Domurado D. (1994): Immunoassay for native enzyme quantification in biological samples. - Appl. Biochem. Biotech., Vol. 48, No. 2, pp. 117-123. 
  6. Demignot S., and Domurado D. (1987): Effect of prosthetic sugar groups on the pharmacokinetics of glucose-oxidase. - Drug Design Deliv., Vol. 1, No. 4, pp. 333-348. 
  7. Denis-Vidal L., Joly-Blanchard G. and Noiret C. (2001a): Some effective approaches to check the identifiability of uncontrolled nonlinear systems. - Math. Comp. Simul., Vol. 57, No. 1, pp. 35-44. Zbl0984.93011
  8. Denis-Vidal L., Joly-Blanchard G., Noiret C., and Petitot M. (2001b): An algorithm to test identifiability of non-linear systems. - Proc. 5th IFAC Conf. Nonlinear Control Systems, NOLCOS, St. Petersburg, Russia, pp. 174-178. 
  9. Denis-Vidal L., Joly-Blanchard G. and Noiret C. (2003): System identifiability (symbolic computation) and parameter estimation (numerical computation). - Numer. Algo., Vol. 34, No. 2-4, pp. 282-292. Zbl1036.93009
  10. Domurado M., Domurado D., Vansteenkiste S., De Marre A. and Schacht E. (1995): Glucose oxidase as a tool to study in vivo the interaction of glycosylated polymers with the mannose receptor of macrophages. - J. Contr. Rel., Vol. 33, No. 1, pp. 115-123. 
  11. Gibaldi M. and Perrier D. (1975): Pharmacokinetics. - New York: Marcel Dekker. 
  12. Ibrir S. and Diop S. (2004): A numerical procedure for filtering and efficient high-order signal differentiation. - Int. J. Appl. Math. Comput. Sci., Vol. 14, No. 2, pp. 201-208. Zbl1076.93042
  13. Ljung L. and Glad T. (1994): On global identifiability for arbitrary model parametrizations. - Automatica, Vol. 30, No. 2, pp. 265-276. Zbl0795.93026
  14. Marino R. and Tomei P. (1995): Adaptive observers with arbitrary exponential rate of convergence for nonlinearsystems. - IEEE Trans. Automat. Contr., Vol. 40, No. 7, pp. 1300-1304. Zbl0832.93009
  15. Roseeuw E., Coessens V., Balazuc A.-M., Lagranderie M., Chavarot P., Pessina A., Neri M.G., Schacht E., Marchal G. and Domurado D.(2003): Synthesis, degradation and antimicrobial properties of targeted macromolecular prodrugs of norfloxacin. - Antimicrob. Agents Chemother., Vol. 47, No. 11, pp. 3435-3441. 
  16. Vajda S., Godfrey K.R. and Rabitz H. (1989): Similarity transformation approach to structural identifiability of nonlinear models. - Math. Biosci., Vol. 93, pp. 217-248. Zbl0696.92001

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