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Published in:
2019 | OriginalPaper | Chapter
On the Mathematical Model of Drug Treatment of Rheumatoid Arthritis
Authors : Kakha Odisharia, Vladimer Odisharia, Paata Tsereteli, Nona Janikashvili
Published in: Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering
Publisher: Springer International Publishing
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Abstract
The model based investigation of immune mediated disorders is a complex and evolving field. We herein report about further development of the mathematical model of rheumatoid arthritis. We improved previously reported model (Odisharia et al. in Vekua Inst Appl Math 31:107–110, 2017, [1]) by providing treatment component. Tocilizumab is considered as a drug for treatment. The model explores the functional dynamics of cartilage destruction during disease progression, in which a model deciphers the interactions between B and T lymphocytes. Coefficients of model equations allow the adaptation of the model to an individual case of patients that is its advantage. These coefficients can be calculated automatically based on the results of blood clinical analysis. Developed software simulates treatment process which will help in process of choosing optimal treatment scheme.