[Mathematical modelling of the interaction of the plague capsular antigen with antibodies of varying affinity].
The group of high affinity antibodies is advantageous in antigen binding because of different dissociation rates of the antigen-antibody complexes. An antigen interacts with such a group in accordance with the value of the parameters characterizing the group and the antigen. The unbound antigen interacts with the subsequent group by the affinity value and so on. This is the basis of the presented model of univalent antigen interaction with antibodies of different affinity. The model values of the concentration of the bound and free antigens were close to the experimental ones for hyperimmune antiplague horse serum and monoclonal antibodies. The correspondence of the model values to the experimental ones is in favour of the suggested explanation of antigen interaction with antibodies of different affinity. It is advisable that the results be taken into account in estimation of biotechnological possibilities of the preparation of high affinity antibodies.
D000818:Animals; D000911:Antibodies, Monoclonal / Q000276:immunology; D000915:Antibody Affinity; D000936:Antigen-Antibody Complex / Q000276:immunology; D000937:Antigen-Antibody Reactions; D000942:Antigens, Bacterial / Q000276:immunology*; D004306:Dose-Response Relationship, Immunologic; D006736:Horses / Q000276:immunology; D007106:Immune Sera / Q000276:immunology; D007163:Immunosorbent Techniques; D008433:Mathematics; D051379:Mice; D008807:Mice, Inbred BALB C; D008954:Models, Biological; D009500:Neutralization Tests; D015010:Yersinia pestis / Q000276:immunology*
D000911:Antibodies, Monoclonal; D000936:Antigen-Antibody Complex; D000942:Antigens, Bacterial; D007106:Immune Sera
Matematicheskoe modelirovanie vzaimodeĭstviia chumnogo kapsul'nogo antigena s antitelami raznogo affiniteta.