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Titolo:
RAPID-EQUILIBRIUM APPROXIMATION APPLIED TO MATHEMATICAL-MODELS OF TRACER DYNAMICS IN BIOCHEMICAL REACTION SYSTEMS
Autore:
SCHUSTER R; HOLZHUTTER HG;
Indirizzi:
HUMBOLDT UNIV BERLIN,INST BIOCHEM,HESS STR 3-4 O-1040 BERLIN GERMANY
Titolo Testata:
Mathematical and computer modelling
fascicolo: 6-8, volume: 19, anno: 1994,
pagine: 241 - 253
SICI:
0895-7177(1994)19:6-8<241:RAATMO>2.0.ZU;2-2
Fonte:
ISI
Lingua:
ENG
Soggetto:
GLYCOLYSIS;
Keywords:
RAPID-EQUILIBRIUM APPROXIMATION; MATHEMATICAL MODEL; TRACER DYNAMICS; BIOCHEMICAL REACTION SYSTEMS; DIFFERENTIAL EQUATIONS; TIME HIERARCHY; REGRESSION ANALYSIS; RADIOACTIVE TRACER; METABOLIC PATHWAYS; SPECIFIC RADIOACTIVITY; QUASI-STEADY STATE APPROXIMATION;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
CompuMath Citation Index
Science Citation Index Expanded
Science Citation Index Expanded
Science Citation Index Expanded
Citazioni:
16
Recensione:
Indirizzi per estratti:
Citazione:
R. Schuster e H.G. Holzhutter, "RAPID-EQUILIBRIUM APPROXIMATION APPLIED TO MATHEMATICAL-MODELS OF TRACER DYNAMICS IN BIOCHEMICAL REACTION SYSTEMS", Mathematical and computer modelling, 19(6-8), 1994, pp. 241-253

Abstract

A method is presented which allows to reduce the size of the differential equation system describing the dynamics of radioactive tracers inbiochemical reaction systems endowed with time hierarchy, i.e., encompassing fast and slow reaction rates which may differ by several orders of magnitude. The basic idea of this approach is to apply the rapid-equilibrium approximation commonly used in the mathematical modelling of metabolic systems (cf. [1]) for lumping into single ''pool variables' all those reactive groups which can be labeled and which are connected by fast reversible reactions. The set of remaining slow reactions governing the dynamics of the reduced system of pool variables dependson the special way of labeling chosen. Thus, the reduction procedure permits to judge the maximal possible number of flux rates which can be estimated from stationary or time-dependent tracer experiments by regression analysis (fitting). Moreover, the method can be employed for identifying near-equilibrium and nonequilibrium reactions. An illustration of the reduction algorithm is provided by considering the distribution of C-14-tracers in the pentose phosphate pathway.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 07/07/20 alle ore 15:24:05