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Article

Keywords:
identification of parameters; quasilinearization method
Summary:
The parameter estimation problem for a continuous dynamical system is a difficult one. In this paper we study a simple mathematical model of the liver. For the parameter identification we use the observed clinical data obtained by the BSP test. Bellman’s quasilinearization method and its modifications are applied.
References:
[1] R. Bellman, R.  Roth: Quasilinearization and the Identification Problem. World Scientific, Singapore, 1983. MR 0724931
[2] P.  Hartman: Ordinary Differential Equations. S. M. Hartman, Baltimore, 1973. MR 0344555 | Zbl 0281.34001
[3] E.  Hrnčíř: Personal notes. (1985), Unpublished.
[4] R.  Kalaba, K.  Spingarn: Control, Identification, and Input Optimization. Mathematical Concepts and Methods in Science and Engineering, Vol. 25. Plenum Press, New York-London, 1982. MR 0656520
[5] J. M.  Watt, A.  Young: An attempt to simulate the liver on a computer. Comput.  J. 5 (1962), 221–227.
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