A simple mathematical model of the human liver

Lenka Čelechovská

Applications of Mathematics (2004)

  • Volume: 49, Issue: 3, page 227-246
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Čelechovská, Lenka. "A simple mathematical model of the human liver." Applications of Mathematics 49.3 (2004): 227-246. <http://eudml.org/doc/32527>.

@article{Čelechovská2004,
abstract = {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.},
author = {Čelechovská, Lenka},
journal = {Applications of Mathematics},
keywords = {identification of parameters; quasilinearization method; identification of parameters; quasilinearization method},
language = {eng},
number = {3},
pages = {227-246},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A simple mathematical model of the human liver},
url = {http://eudml.org/doc/32527},
volume = {49},
year = {2004},
}

TY - JOUR
AU - Čelechovská, Lenka
TI - A simple mathematical model of the human liver
JO - Applications of Mathematics
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 3
SP - 227
EP - 246
AB - 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.
LA - eng
KW - identification of parameters; quasilinearization method; identification of parameters; quasilinearization method
UR - http://eudml.org/doc/32527
ER -

References

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  1. Quasilinearization and the Identification Problem, World Scientific, Singapore, 1983. (1983) MR0724931
  2. Ordinary Differential Equations, S. M. Hartman, Baltimore, 1973. (1973) Zbl0281.34001MR0344555
  3. Personal notes, (1985), Unpublished. (1985) 
  4. Control, Identification, and Input Optimization. Mathematical Concepts and Methods in Science and Engineering, Vol. 25, Plenum Press, New York-London, 1982. (1982) MR0656520
  5. 10.1093/comjnl/5.3.221, Comput.  J. 5 (1962), 221–227. (1962) DOI10.1093/comjnl/5.3.221

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