Nonlinear compartmental model indistinguishability

被引:8
作者
Chapman, MJ
Godfrey, KR
机构
[1] COVENTRY UNIV,CONTROL THEORY & APPLICAT CTR,COVENTRY CV1 5FB,W MIDLANDS,ENGLAND
[2] UNIV WARWICK,DEPT ENGN,COVENTRY CV4 7AL,W MIDLANDS,ENGLAND
关键词
compartmental models; indistinguishability; local state isomorphism theorem; Michaelis-Menten kinetics; nonlinear systems; state-space methods;
D O I
10.1016/0005-1098(95)00152-2
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A version of the local state isomorphism theorem is used to show how nonlinear model structures, within some specified class, can be tested for indistinguishability from some given structure via a suitable choice of their respective parameters. This theory is applied to a two-compartmental structure with an assumed Michaelis-Menten elimination from compartment 1. Models tested for indistinguishability include structures with Michaelis-Menten elimination from compartment 2 in addition to, or instead of, that from compartment 1.
引用
收藏
页码:419 / 422
页数:4
相关论文
共 14 条
[1]   A METHODOLOGY FOR COMPARTMENTAL MODEL INDISTINGUISHABILITY [J].
CHAPMAN, MJ ;
GODFREY, KR .
MATHEMATICAL BIOSCIENCES, 1989, 96 (02) :141-164
[2]   INDISTINGUISHABILITY FOR A CLASS OF NONLINEAR COMPARTMENTAL-MODELS [J].
CHAPMAN, MJ ;
GODFREY, KR ;
VAJDA, S .
MATHEMATICAL BIOSCIENCES, 1994, 119 (01) :77-95
[3]   GLOBAL IDENTIFIABILITY OF THE PARAMETERS OF NONLINEAR-SYSTEMS WITH SPECIFIED INPUTS - A COMPARISON OF METHODS [J].
CHAPPELL, MJ ;
GODFREY, KR ;
VAJDA, S .
MATHEMATICAL BIOSCIENCES, 1990, 102 (01) :41-73
[4]   THE PROBLEM OF MODEL INDISTINGUISHABILITY IN PHARMACOKINETICS [J].
GODFREY, KR ;
CHAPMAN, MJ .
JOURNAL OF PHARMACOKINETICS AND BIOPHARMACEUTICS, 1989, 17 (02) :229-267
[5]   NONLINEAR CONTROLLABILITY AND OBSERVABILITY [J].
HERMANN, R ;
KRENER, AJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (05) :728-740
[6]   ON GLOBAL IDENTIFIABILITY FOR ARBITRARY MODEL PARAMETRIZATIONS [J].
LJUNG, L ;
GLAD, T .
AUTOMATICA, 1994, 30 (02) :265-276
[7]  
LJUNG L, 1992, COMMUNICATION
[8]   NEW RESULTS ON SATURATION PHENOMENA IN BSP METABOLISM - THE ROLE OF FREE AND CONJUGATED BSP [J].
MILANESE, M ;
MOLINO, G ;
CAPPELLETTI, F .
MEDICAL & BIOLOGICAL ENGINEERING & COMPUTING, 1981, 19 (06) :707-716
[9]   SYSTEM IDENTIFIABILITY BASED ON POWER-SERIES EXPANSION OF SOLUTION [J].
POHJANPALO, H .
MATHEMATICAL BIOSCIENCES, 1978, 41 (1-2) :21-33
[10]   IDENTIFIABILITY AND DISTINGUISHABILITY TESTING VIA COMPUTER ALGEBRA [J].
RAKSANYI, A ;
LECOURTIER, Y ;
WALTER, E ;
VENOT, A .
MATHEMATICAL BIOSCIENCES, 1985, 77 (1-2) :245-266