Analysis of nonlinear differential equations:: Parameter estimation and model selection

被引：0
|
作者：
Horbelt, W
Müller, T
Timmer, J
Melzer, W
Winkler, K
机构：
[1] Freiburger Zentrum Datenanal & Modellbildung, D-79104 Freiburg, Germany
[2] Univ Ulm, Inst Angew Physiol, D-89069 Ulm, Germany
[3] Univ Klin Freiburg, Freiburg, Germany
来源：
MEDICAL DATA ANALYSIS, PROCEEDINGS | 2000年 / 1933卷
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We have implemented a method for estimating parameters in systems of nonlinear differential equations which is superior to conventional approaches with respect to reliability and effectiveness. The method is based on the multiple shooting approach introduced by Bock (1983). Different models are compared with respect to their adequacy by means of likelihood ratio tests. We demonstrate the advantages of the algorithm with simulated data and present applications from calcium dynamics in skeletal muscle cells and the human lipoprotein metabolism.
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页码：152 / 158
页数：7
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