CAUCHY PROBLEM FOR ONE MATHEMATICAL NONLINEAR MODEL OF AUTOIMUNE DISEASE

Author: Vladimer Odisharia
Co-authors: K.Odisharia, P.Tsereteli, N.Janikashvili
Keywords: AUTOIMUNE DISEASE, NONLINEAR MATHEMATICAL MODELS, CAUCHY PROBLEM
Annotation:

Our mathematical model is a system of ordinary differential equations [1], [2], it describes the immunopathogenic dynamics in patients suffering with rheumatoid arthritis. We improved this model by providing the treatment components that allows evaluating the effect of the drug and choosing a treatment scheme. The solution of Cauchy problem determined by the model is also considered.