Mathematical models in immunology

Unified approach to mathematical modeling of host's immune response to viral and bacterial challenge is presented. Models are formulated by the systems of delay-differential equations within the framework of the Burnet's principle of clonal selection, the major histocompatibility complex restricted recognition of antigens by T-cells ; consider T- and B-cells of one specificity and fixed affinity antibodies to pathogen's antigen, and are derived using the birth-death cell population balances. The models are used for quantitative analysis of the viral hepatitis B infection, influenza A virus infection, acute pneumonia and viral-bacterial complications in lung. An approach to estimating parameters of a particular patient is suggested. Adjoint equations are used for sensitivity analysis of the models.