Naw. Vanriel et al., A STRUCTURED, MINIMAL PARAMETER MODEL OF THE CENTRAL NITROGEN-METABOLISM IN SACCHAROMYCES-CEREVISIAE - THE PREDICTION OF THE BEHAVIOR OF MUTANTS, Journal of theoretical biology, 191(4), 1998, pp. 397-414
In order to enable future pathway engineering of a complex system, suc
h as the nitrogen metabolism in yeast, mathematical modelling tools ha
ve to be developed. The stoichiometric and biochemical characteristics
of the glutamate and glutamine nodes (the Central Nitrogen Metabolism
, CNM) are qualitatively known. Quantitative knowledge about the dynam
ics of the network lacks and needs to be developed for metabolic repro
gramming. A model-based-experiment approach is proposed in which the d
evelopment of a model initiates new experiments of which the results t
hen improve the model. As a first step in this iterative system identi
fication cycle, recent experimental data, both qualitative and quantit
ative, obtained from defined studies on the CNM of the yeast Saccharom
yces cerevisiae have been translated into an initial mathematical mode
l. The model approach is based on a combination of Flux Analysis and s
imple enzyme kinetics. The model is constructed using nonlinear Ordina
ry Differential Equations and regulation of the synthesis and activity
of key enzymes of the CNM is included. The parameters of the model ar
e estimated with a constrained Least Squares algorithm using the stead
y-state and dynamic pulse data of a glutamine limited continuous cultu
re. The resulting model describes a continuous culture of a wild-type
strain correctly and in general the trends of the dynamic behaviour af
ter both glutamine and ammonia pulses to this culture are good. Inclus
ion of countercurrent reactions and compartmentation in the model is e
ssential for the descriptive quality of the model under dynamic condit
ions. It is clear that more experimental work is needed. The model ind
icates that the GOGAT/Glutamine Synthetase (GS) pathway plays a more i
mportant physiological stabilizing role in yeast than is generally ass
umed. New, model-based, experiments have to investigate the function o
f GOGAT, especially under dynamic conditions. Also redox cofactors and
ATP have to be measured. The resulting model is validated with data o
f similar experiments with a GS-mutant. The quality of the prediction
of the behaviour of the mutant is comparable to the descriptive proper
ty, which is a very promising result, taking into account the limited
dataset compared to the system complexity. (C) 1998 Academic Press Lim
ited.