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2005 | 15 | 4 | 517-526
Tytuł artykułu

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

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Rocznik
Tom
15
Numer
4
Strony
517-526
Opis fizyczny
Daty
wydano
2005
otrzymano
2004-12-20
poprawiono
2005-07-19
(nieznana)
2005-09-15
Twórcy
  • Department Genie Informatique, University of Technology of Compiegne, BP 20 529, 60 205 Compiegne Cedex, France
  • University of Sciences and Tech., Lille, France
  • Department Genie Informatique, University of Technology of Compiegne, BP 20 529, 60 205 Compiegne Cedex, France
  • CRBA - Faculty of Pharmacy, BP 14 491, 34093 Montpellier Cedex 5, France
Bibliografia
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  • 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.
  • 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.
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  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • Gibaldi M. and Perrier D. (1975): Pharmacokinetics. - New York: Marcel Dekker.
  • 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.
  • Ljung L. and Glad T. (1994): On global identifiability for arbitrary model parametrizations. - Automatica, Vol. 30, No. 2, pp. 265-276.
  • 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.
  • 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.
  • 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.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv15i4p517bwm
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