A previously reported model describes retention and band width as functions of experimental conditions, for the reversed-phase gradient elution separation of peptides and proteins. The model begins by relating separation in gradient elution to corresponding separations by isocratic elution (same high-performance liquid chromatographic system). The use of certain semi-empirical relationships then allows band width to be predicted for samples for which isocratic data are unavailable. This in turn allows the prediction of band width, peak capacity and relative peak height (or peak volume) as a function of experimental conditions such as column dimensions, gradient conditions, mobile phase flow-rate, sample molecular weight, etc. The next paper [J. Chromatogr., 327 (1985) 93] demonstrates the practical value of this approach for optimizing the separation of peptide and protein mixtures.In the present paper it is first shown that isocratic data for desamido-insulin (6000 daltons) allow the accurate prediction of band widths as a function of experimental conditions in related gradient separations. It is further shown that the present model accurately predicts how band widths vary with experimental conditions for peptides and proteins having molecular weights in the range 600–80 000 daltons.