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Języki publikacji
EN
Abstrakty
EN
The paper presents optimal input design for parametric identification of the SISO state space compartmental models of pharmacokinetic systems. The adopted objective function is the trace of the Fisher information matrix (the sensitivity criterion). The class of equienergy admissible inputs is concemed, as rate-dependent side effects occur for many medicines. The optimal input design problem is a nonlinear programming problem with constraint. The problem is solved using Kuhn-Tucker necessary conditions. SeveraI compartmental models were examined. The optimal inputs of different shapes were obtained and compared.
Twórcy
autor
  • Faculty of Electronics, Telecommunication and Informatics, Gdańsk University of Technology, 80-952 Gdańsk, Narutowicza 11/12, Poland, renatak@biomed.eti.pg.gda.pl
Bibliografia
  • 1. Cobelli C., Ruggeri A., Thomaseth K.: Optimal input and sampling schedule for physiological system identification, J. Eisenfeld and C. DeLisi, Eds., Elsevier, New York, 1985, 161-172.
  • 2. Brandt S.: Data analysis, PWN, Warszawa 1999.
  • 3. Mehra R. K.: Optimal inputs for linear system identification, IEEE Transactions on Automatic Control, AC-19, 3, 1974, 192-200.
  • 4. Kalaba R. E., Springarn K. : Optimal inputs for blood glucose regulation parameter estimation, Part 3, Journal of Optimization Theory and Applications, 33, 2, 1981.
  • 5. Pharmindex - Pharmaceutics compendium - 2004, Medimedia, Warsaw 2004.
  • 6. Cobelli C., Thomaseth K.: On optimality of the impulse input for linear system identification, Mathematical Biosciences, 1988, 89, 127-133.
  • 7. Kalicka R., Pietrenko-Dąbrowska A.: Parametric identification of models of pharmacokinetic systems on the base of the optimal input using sensitivity criterion, XIII National Conference of Biocybernetics and Biomedical Engineering, Gdańsk 2003, 225-230.
  • 8. Pietrenko-Dąbrowska A., Kalicka R.: The comparison of optimal inputs for parameter estimation of compartmental models of pharmacokinetic systems, II National Conference on Information Technology, Gdańsk, 2004, Gdańsk University of Technology Journal, 3, 183-190.
  • 9. Kalicka R., Pietrenko-Dąbrowska A.: Optimal input design using sensitivity criterion for parametric identification of pharmacokinetic models, Biocybernetics and Biomedical Engineering, 25, 2, 2005, 3-18.
  • 10. Kalicka R., Pietrenko-Dąbrowska A.: Equienergy vs equidose inputs in pharmacokinetic studies, EMBEC'05: IFMBE European Conference on Biomedical Engineering Prague, Czech Republic, 2005.
  • 11. Findeisen W., Szymanowski J., Wierzbicki A.: Optimization - theory and computational methods, Polish Scientific Publishers, Warsaw 1980.
  • 12. Matlab Optimization Toolbox User's Guide, Mathworks, Inc, 2000.
  • 13. Godfrey K.: Compartmental models and their application, Academic Press, 1983.
  • 14. Kalicka R.: Modelling of kinetic processes in biomedical systems, Gdańsk University of Technology Publishers, 2000.
  • 15. McIntosh J.E.A., McIntosh R.P.: Mathematical Modelling and Computers in Endocrinology, Springer-Verlag, New York 1980.
  • 16. Univ. Of Alberta, Faculty of Pharmacy and Pharmaceutical Sciences, Internet site address: http://www.pharmacy.ualberta.ca/.
  • 17. Goodwin G.C., Payne R.L.: Dynamic system identification: Experiment design and data analysis, Academic Press, INC., London 1977.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ1-0030-0018
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