The flux of the system increases exactly by a . In mathematical terms this means that the flux is a homogeneous function of degree one and the metabolite concentrations homogeneous functions of degree zero. In principle for a whole cell, the summation would have to be over all metabolic steps of that cell. While this is theoretically not impossible, it is very improbable and most experimental studies of enzyme over-expression by cloning have revealed that large increases of enzyme concentrations are not accompanied by equivalent increases in pathway flux. The magnitude of the flux-control coefficients can be seen as a percentage of control exerted by the individual step over the flux of interest.
Control is shared between all enzymes in different proportions.