GLOBAL IDENTIFIABILITY OF THE PARAMETERS OF NONLINEAR-SYSTEMS WITH SPECIFIED INPUTS - A COMPARISON OF METHODS

被引：105

作者：

CHAPPELL, MJ ^{[1
]}

GODFREY, KR ^{[1
]}

VAJDA, S ^{[1
]}

机构：

[1] BOSTON UNIV,DEPT BIOMED ENGN,BOSTON,MA 02215

来源：

MATHEMATICAL BIOSCIENCES | 1990年 / 102卷 / 01期

关键词：

D O I：

10.1016/0025-5564(90)90055-4

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The two methods available for analyzing the global structural identifiability of the parameters of a nonlinear system with a specified input function, the Taylor series approach and the similarity transformation approach, are compared and contrasted through application to three examples. It is shown that, as for linear systems, it is very difficult to predict which of the available methods will result in the least effort for a particular example. The role of modern symbolic manipulation packages in the analysis is assessed. The third example proves intractable using the similarity transformation approach as originally formulated, but the analysis is completed using a reformulation that exploits the polynominal form of the system equations in the example. © 1990.

引用

页码：41 / 73

页数：33

共 19 条

[1]

CHAPPELL MJ, 1989, 5 U WARW CONTR INSTR

[2]

Godfrey K., 1983, COMPARTMENTAL MODELS

[3]

Godfrey K, 1987, IDENTIFIABILITY PARA, V1, P1

[4] THE DETERMINISTIC IDENTIFIABILITY OF NONLINEAR PHARMACOKINETIC MODELS [J].