Simple models for the analysis of binding protein‐dependent transport systems

Mathematical modeling was used to evaluate experimental data for bacterial binding protein‐dependent transport systems. Two simple models were considered in which ligand‐free periplasmic binding protein interacts with the membrane‐bound components of transport. In one, this interaction was viewed as a competition with the ligand‐bound binding protein, whereas in the other, it was considered to be a consequence of the complexes formed during the transport process itself. Two sets of kinetic parameters were derived for each model that fit the available experimental results for the maltose system. By contrast, a model that omitted the interaction of ligand‐free binding protein did not fit the experimental data. Some applications of the successful models for the interpretation of existing mutant data are illustrated, as well as the possibilities of using mutant data to test the original models and sets of kinetic parameters. Practical suggestions are given for further experimental design.