A mathematical model of antigenic kinship of viruses Article

Rishe, N, Lipkind, M. (1987). A mathematical model of antigenic kinship of viruses . MATHEMATICAL MODELLING, 8(C), 592-596. 10.1016/0270-0255(87)90649-X

cited authors

  • Rishe, N; Lipkind, M



  • A combinatorial mathematical model describing the experimentally found diverse antigenic interconnections between different avian paramyxovirus (PMV) serotypes is suggested. According to the model, the whole network of antigenic interconnections is determined by the specific combinatorial sets of antigenic determinants, some of them being serotype-specific and the others being common with some other avian PMV serotypes. The suggested model is based on the postulates concerning PMV virion structure; bifunctional organization of PMV HN glycoprotein, its amount per virion and a mechanism of antibody-caused inhibition of its functional activities; a definition of an antigenic determinant as an elementary unit inducing and reacting only with a homologous type of antibodies. The suggested model through operating with mathematically expressed different definitions of antigenic kinship describes some experimental phenomena connected with interserotype antigenic relationships, especially, a long-ago-known but unexplainable phenomenon of asymmetric cross reactivity. © 1987.

publication date

  • January 1, 1987

published in

Digital Object Identifier (DOI)

start page

  • 592

end page

  • 596


  • 8


  • C