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A simple mathematical model of the human liver. (English) Zbl 1099.34031

Summary: The parameter estimation problem for a continuous dynamical system is a difficult one. 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.

MSC:

34B60 Applications of boundary value problems involving ordinary differential equations
92C50 Medical applications (general)
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References:

[1] R. Bellman, R. Roth: Quasilinearization and the Identification Problem. World Scientific, Singapore, 1983. · Zbl 0565.93015
[2] P. Hartman: Ordinary Differential Equations. S. M. Hartman, Baltimore, 1973. · 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 (1985), Unpublished.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.
[5] J. M. Watt, A. Young: An attempt to simulate the liver on a computer. Comput. J. 5 (1962), 221-227. · Zbl 0114.11503 · doi:10.1093/comjnl/5.3.221
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