Reliability and efficiency of the D, E, S, A-optimal sampling schedule design

• Autorzy: Kalicka R. , Bochen D.
• Języki publikacji: EN

Abstrakty

EN

Due to the sharp practical and ethical constraints imposed on medical measurements, the parameter estimation procedure that is designed for diagnosis and therapy is often a difficult problem. When blood sampling provides the data, the number of samples and the measurement interval should be minimised. We have implemented D (determinant), E (eigenvalue), S (sensitivity) and A (trace) optimal sampling schedules (OSSs). These OSSs have minimal size, which means that the number of samples is equal to the number of model parameters that are being estimated. Setting up the results of the D, E, S and A approaches allows us to compare their efficiency and usefulness. Illustrative examples are presented.

Słowa kluczowe

EN

modelling; optimal sampling schedules; various criteria

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 1999
• Tom: Vol. 3, No 4
• Strony: 453--464
• Opis fizyczny: Bibliogr. 5 poz., rys., tab.

Twórcy

autor

Kalicka R.

• Faculty of Electronics Telecommunications and Informatics, Department of Medical and Ecological Electronics, Technical University of Gdansk, ul Narutowicza 11/12, 80-952 Gdansk, Poland

autor

Bochen D.

• Technical University of Bialystok, Faculty of Electrical Engineering, Grunwaldzka 11/15, 15-893 Bialystok, Poland

Bibliografia

• [1] Kalicka R. and Bochen D, Various criteria of sampling schedule optimisation. Are they equivalent? The Fifth National Conference on Application of Mathematics in Biology and Medicine, Ustrzyki Gome, September 1999,76-81
• [2] Mori F. and Distefano J.J., Optimal Nonuniform Sampling Interval and Test-Input Design for Identification of Physiological Systems from Very Limited Data, IEEE Transactions and Automatic Control, AC-24, December 1979,893-893
• [3] Cobelli C., Distefano J.J. and Ruggeri A., Minimal SS for Identification of Dynamic Models of Metabolic Systems of Clinical Interest: Case Studies for Two Liver Function Tests, Mathematical Biosciences, Elsevier Science Publishing 1983, 173-186
• [4] The Mathworks Inc., Optimisation Toolbox User’s Guide, Mathworks 1997,42-65
• [5] Zalewski A. and Cegiela R., MA TLAB — numerical calculations and their applications, Nakom, 1997