Set Theory Applied to the Mathematical Characterization of HLA Class II Binding Peptides

Antigen presentation contains the molecular basis for antigenic identification and immune responses. The set theory and experimental data were used in order to develop an union core region mathematic characterization through the definition of 8 laws associated to HLA class II binding. The laws were applied to 4 promiscuous peptides, 25 natural peptides sequences of core region: 13 binding peptides and 12 no binding peptides; and 19 synthetic peptides looking to differentiate peptides. Only one peptide was not rightly characterized. This methodology may be used to choose key peptides in the development of vaccine.