A dynamical model of humoral response, based on the clonal selection theory, is developed. We assume a given continuous distribution of the cells, as far as the association constants of the receptors for the antigen are concerned, and the processes of stimulation and differentiation are assumed to be determined by the occupancy of the cell receptors, according to the mass action law. Fairly good agreement with the experimental data from the literature is obtained, as far as the values of antibody concentration and of their affinities for the antigen are concerned.The aim of the present work is to discuss, in terms of a mathematical model, the dynamics of the events occuring in an organism after introduction of a foreign substance - the antigen. The reaction of the organism, i. e. , the immune response, consists in the production of proteins - antibodies - able to combine with the antigen and to remove it. A dynamical model of humoral immune response, based on the clonal selection theory, is developed. A given continuous distribution of the cells is assumed, as far as the association constants of the receptors for the antigen are concerned, and the processes of stimulation and differentiation are assumed to be determined by the occupancy of the cell receptors, according to the mass action law. Fairly good agreement with the experimental data from the literature is obtained, as far as the values of antibody concentration and of their affinities for the antigen are concerned.
A dynamical model of humoral immune response / Bruni, Carlo; M. A., Giovenco; Koch, Giorgio; Strom, Roberto. - In: MATHEMATICAL BIOSCIENCES. - ISSN 0025-5564. - STAMPA. - 27:3-4(1975), pp. 191-211. [10.1016/0025-5564(75)90103-0]
A dynamical model of humoral immune response
BRUNI, Carlo;KOCH, Giorgio;STROM, Roberto
1975
Abstract
A dynamical model of humoral response, based on the clonal selection theory, is developed. We assume a given continuous distribution of the cells, as far as the association constants of the receptors for the antigen are concerned, and the processes of stimulation and differentiation are assumed to be determined by the occupancy of the cell receptors, according to the mass action law. Fairly good agreement with the experimental data from the literature is obtained, as far as the values of antibody concentration and of their affinities for the antigen are concerned.The aim of the present work is to discuss, in terms of a mathematical model, the dynamics of the events occuring in an organism after introduction of a foreign substance - the antigen. The reaction of the organism, i. e. , the immune response, consists in the production of proteins - antibodies - able to combine with the antigen and to remove it. A dynamical model of humoral immune response, based on the clonal selection theory, is developed. A given continuous distribution of the cells is assumed, as far as the association constants of the receptors for the antigen are concerned, and the processes of stimulation and differentiation are assumed to be determined by the occupancy of the cell receptors, according to the mass action law. Fairly good agreement with the experimental data from the literature is obtained, as far as the values of antibody concentration and of their affinities for the antigen are concerned.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
