Program
| MSC4c | |
|---|---|
| Franz Kappel | |
| Institute for Mathematics and Scientific Computing, University of Graz | |
| Title | Parameter Estimation and Experimental Design for a Cardiovascular Model |
| Abstract | Using a model for the reactions of the cardiovascular system to an ergometric workload we discuss the use of sensitivity functions and generalized sensitivity functions in order to predict the performance of parameter estimation techniques. In particular we show when generalized sensitivity functions indicate non-identifiability of parameter sets. Our considerations concerning experimental design are based on a generalization of measurement procedures which incorporate discrete and continuous measurements. A central role is played by the corresponding generalization of the Fisher information matrix. References: [1] H. T. Banks, Sava Dediu, Stacey L. Ernstberger, and Franz Kappel, Generalized sensitivities and optimal experimental design, submitted. [2] J. J. Batzel, F. Kappel, D. Schneditz, and H.T. Tran: Cardiovascular and Respiratory Systems: Modeling, Analysis, and Control, Frontiers in Applied Mathematics Vol. 34, SIAM, Philadelphia 2007. [3] Franz Kappel and Mohammad Muni, A new approach to optimal design problems, Proc. International Conf. on Nonlinear Analysis and Optimization Problems, Budva (Montenegro), October 6 – 10, 2008, to appear. [2] K. Thomaseth and C. Cobelli, Generalized sensitivity functions in physiological system identification, Ann. Biomedical Eng. 27 (1999), 607 – 616. |
| Location | Woodward 4 |