Various vectorial behaviours of a spatially structured substrate cycle.

The dynamic properties of the glucose/glucose-6-phosphate cycle are studied under conditions where the phosphatase and kinase interconverting enzymes are spatially distributed. A semi-artificial membrane made of compacted plant cell walls bearing active phosphatase in its natural state, separates two compartments, one of these compartments containing soluble hexokinase. Depending only upon the two enzyme activity levels and the initial distribution of the substrates, numerous asymmetrical and vectorial behaviours can be observed, such as facilitated glucose 6-phosphate diffusion, active transport of either glucose or glucose 6-phosphate and sequential (alternative) transport between glucose and glucose 6-phosphate. A diffusion-partition reaction coupling can account for these oriented mass transfers. The possibility of such a coupling in this model system is clearly dictated by the global analog of the Curie principle. These results may provide new insight on (a) the still obscure role played by the cell-wall phosphatase activities, particularly their involvement in the transport of exogenous phosphomonoesters, and (b) the actual in vivo operation of substrate and protein cycles in view of the heterogeneity and anisotropy of the cellular milieu.