| Title:
|
A simple mathematical model of the human liver (English) |
| Author:
|
Čelechovská, Lenka |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
49 |
| Issue:
|
3 |
| Year:
|
2004 |
| Pages:
|
227-246 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
identification of parameters |
| Keyword:
|
quasilinearization method |
| MSC:
|
34B60 |
| MSC:
|
92C50 |
| MSC:
|
93B30 |
| idZBL:
|
Zbl 1099.34031 |
| idMR:
|
MR2059428 |
| DOI:
|
10.1023/B:APOM.0000042364.85016.7d |
| . |
| Date available:
|
2009-09-22T18:17:54Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133895 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/133896 |
| . |
| Reference:
|
[1] R. Bellman, R. Roth: Quasilinearization and the Identification Problem.World Scientific, Singapore, 1983. MR 0724931 |
| Reference:
|
[2] P. Hartman: Ordinary Differential Equations.S. M. Hartman, Baltimore, 1973. Zbl 0281.34001, MR 0344555 |
| Reference:
|
[3] E. Hrnčíř: Personal notes.(1985), Unpublished. |
| Reference:
|
[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 |
| Reference:
|
[5] J. M. Watt, A. Young: An attempt to simulate the liver on a computer.Comput. J. 5 (1962), 221–227. 10.1093/comjnl/5.3.221 |
| . |
