Theoretical Immunology

Inverse analysis of empirical matrices of idiotypic network interactions

The concept of shape space proposed by Perelson and Oster (1979, J. Theor. Biol. 81, 645-670) has been a useful tool for the theoretical immunologists, who have invoked it to model idiotypic binding, which plays a significant role in mathematical …

Stochastic inventory analysis of antibody production

In this paper, we present a stochastic inventory model for monoclonal antibody maintenance and production during a secondary immune response. This involves a new concept of “cost” factors to represent associated biochemical energy constraints in …

On antigen-antibody binding distributions

The probability distributions for the number of bound antigens and antibodies during immune response are obtained in this paper. Biological significance of this work and directions for further application are discussed along with some illustrative …