In previous reports (Stankowski, S. (1983) Biochim. Biophys. Acta 735, 341-351 and 352-360) the ordinary Scatchard-type analysis has been shown to yield erroneous results when applied to the binding of large molecules to membranes or cells. Formulae have been given to treat the limiting cases of very thin and of very bulky ligands. These results are now extended to include ligands of any shape and cooperative interactions. As an example, data on the cooperative binding of polymyxin to charged lipid bilayers are reevaluated. Adsorption with concomitant incorporation of the large molecule into the membrane is also considered.