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Tytuł artykułu

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

Treść / Zawartość
Identyfikatory
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 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 a priori parameter values. Then the resulting parameter estimate is improved by using the classical least-squares method.
Rocznik
Strony
517--526
Opis fizyczny
Bibliogr. 16 poz., wykr.
Twórcy
autor
  • Department Gènie Informatique, University of Technology of Compiègne, BP 20 529, 60 205 Compiègne Cedex, France
  • University of Sciences and Tech. Lille, France
  • Department Gènie Informatique, University of Technology of Compiègne, BP 20 529, 60 205 Compiègne Cedex, France
autor
  • CRBA —Faculty of Pharmacy, BP 14 491, 34093 Montpellier Cedex 5, France
Bibliografia
  • [1] Aubrée-Lecat A., Hervagault C., Delacour C., Beaude C., Bourdillon C. and Rémy M.H. (1989): Direct electrochemical determination of glucose oxidase in biological samples. — Anal. Biochem., Vol. 178, No. 2, pp. 427–430.
  • [2] Aubrée-Lecat A., Duban M.C., Demignot S., Domurado M., Fournié P. and Domurado D. (1993): Influence of barriercrossing limitations 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, Montréal, Canada, pp. 158–166.
  • [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.
  • [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.
  • [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.
  • [13] Ljung L. and Glad T. (1994): On global identifiability for arbitrary model parametrizations. — Automatica, Vol. 30, No. 2, pp. 265–276.
  • [14] Marino R. and Tomei P. (1995): Adaptive observers with arbitrary exponential rate of convergence for nonlinear systems. — IEEE Trans. Automat. Contr., Vol. 40, No. 7, pp. 1300–1304.
  • [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.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0018-0047
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