title: Cold target competition analysis of the classical activation pathway of complement-mediated cytotoxicity: a non-interaction model for competing lysis.
abstract: A mathematical analysis of cold target competition experiments of complement-mediated lysis is presented, aimed at developing a minimal model of lysis where no interaction between the competing populations of sensitized blood group A and B erythrocytes is presumed. The model is able to predict the extent of lysis from the input values with remarkable accuracy suggesting that under the conditions used no stimulation and/or inhibition of the lysis of the sensitized erythrocytes occurs. The distribution of complement between the competing A and B erythrocyte populations is approximated by the model and found to be proportional to the 5th and 4th power of the ratios of the antibody and target cell concentrations, respectively. In accordance with earlier observations, suggesting that the interaction between the antibody and the C1q molecules is based on polar electrostatic charges, we propose that the sensitizing antibody provides an electrostatic field around the erythrocytes which attracts C1q molecules towards their membranes.
authors.affiliation: Mathematical Institute of Hungarian Academy of Sciences, Department of Statistics, Budapest.
authors.forename: G
authors.initials: G
authors.lastname: Tusnády
authors.forename: A
authors.initials: A
authors.lastname: Erdei
authors.forename: T
authors.initials: T
authors.lastname: Bakács
mesh_terms: D000911:Antibodies, Monoclonal / Q000276:immunology; D001667:Binding, Competitive; D003167:Complement Activation / Q000502:physiology; D003171:Complement Pathway, Classical / Q000502:physiology*; D003601:Cytotoxicity Tests, Immunologic; D003602:Cytotoxicity, Immunologic / Q000502:physiology*; D004306:Dose-Response Relationship, Immunologic; D006801:Humans; D008433:Mathematics; D008962:Models, Theoretical
chemical_list: D000911:Antibodies, Monoclonal