MATHEMATICAL MODEL OF RHEUMATOID ARTHRITIS AND ITS TREATMENT
Mathematical models of immune mediated disorders provide an analytic framework in which we can address specific questions concerning disease immune dynamics and the choice of treatment. Herein, we present a novel mathematical model that describes the immunopathogenesis of rheumatoid arthritis using non-linear differential equations. A methodology for estimating the values of the coefficients contained in the model is discussed. The model explores the functional dynamics of cartilage destruction during disease progression, in which a system of differential equations deciphers the interactions between B and T lymphocytes. Immunomodulatory relation between pro-inflammatory and regulatory T cell subsets is also solved in these equations. Of importance, our model provides a mechanistic interpretation of targeted immunotherapy which deals with the intervention of pathophysiological immune processes in rheumatoid arthritis.