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

top
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

top

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

top
  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 Personal notes, (1985), Unpublished.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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.