Mathematical model of the infection process in diphtheria for determining the therapeutic dose of antitoxic anti-diphtheria serum

It is known that administration of horse serum against diphtheria toxin can cause autoimmune and allergic complications. Therefore it is important for improvement of serotherapy to develop methods of prediction of disease course and quantity of diphtheria toxin and antitoxic antibodies in a serum. We have developed the mathematical model of diphtheria infection, which consists of six differential equations describing dynamics of diphtheria toxin and antitoxic antibodies in a serum, quantity of infection agent and macrophages in a site of inflammation. This mathematical model allows to predict the course of infectious process, the level of diphtheria toxin and antitoxic antibodies in the sera of people with diphtheria and to calculate the individual therapeutic dose of antitoxic serum for each patient.