A mechanism for proteolytic degradation of a native protein, in which cleavage of the first peptide bond in each molecule is much faster than subsequent cleavages. The result is that every native molecule has one bond cleaved before any molecule is further affected. In the other alternative extreme case, the one-by-one type mechanism, initial cleavage of the first bond of the native molecule is relatively slow but subsequent bond cleavages are fast, which results in complete degradation of one substrate molecule before another is attacked.