Hg. Holzhutter et al., ESTIMATION OF STEADY-STATE FLUX RATES IN METABOLIC SYSTEMS BY COMPUTER-SIMULATIONS OF RADIOACTIVE-TRACER EXPERIMENTS, Computer applications in the biosciences, 9(5), 1993, pp. 573-580
The dynamics of radioactive tracers in metabolic systems can be mathem
atically modelled by coupled systems of differential equations for bot
h the concentrations and the specific radioactivitie of the metabolite
s involved. Computer simulations, i. e. direct fitting of numerical so
lutions of these equations to observed time-courses of metabolites and
specific radioactivities, enables one to estimate unknown kinetic par
ameters of the system. The theoretical fundamentals of this approach a
nd the main steps towards the quantitative assessment of flux rates in
stationary metabolic systems are outlined. An application of the meth
od to the purine nucleotide metabolism of Ehrlich ascites tumor cells
is given based on a simplified model of this pathway. The obtained ste
ady-state flux rates indicate a marked increase in the metabolism of t
he adenine nucleotides during the proliferating phase in comparison to
the resting phase of tumor growth.