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.
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References
Odisharia, K., Odisharia, V., Tsereteli, P., Janikashvili, N.: Implementation of the mathematical model of rheumatoid arthritis: reports of enlarged seminars of I. Vekua Inst. Appl. Math. 31, 107–110 (2017)
Andrew, S.M., Baker, C.T.H., Bocharov, G.A.: Rival approaches to mathematical modelling in immunology. J. Comput. Appl. Math. 205, 669–686 (2007)
Sakaguchi, S., Yamaguchi, T., Nomura, T., Ono, M.: Regulatory T cells and immune tolerance. Cell 133(5), 775–787 (2008)
Janikashvili, N., Chikovani, T., Audia, S., Bonnotte, B., Larmonier, N.: T Lymphocyte plasticity in autoimmunity and cancer. Biomed. Res. Int. 540–750, (2015)
Edwards, J.C., Cambridge, G.: B-cell targeting in rheumatoid arthritis and other autoimmune diseases. Nat. Rev. Immunol. 6(5), 394–403 (2006)
Genovese, M.C., McKay, J.D., Nasonov, E.L., Mysler, E.F., da Silva, N.A., Alecock, E., et al.: Interleukin-6 receptor inhibition with tocilizumab reduces disease activity in rheumatoid arthritis with inadequate response to disease-modifying antirheumatic drugs: the Tocilizumab in combination with traditional disease-modifying antirheumatic drug therapy study. Arthritis Rheum. 58, 2968–2980 (2008)
Smolen, J,S., Beaulieu, A., Rubbert-Roth, A., Ramos-Remus, C., Rovensky J., Alecock, E., et al.: Effect of interleukin-6 receptor inhibition with tocilizumab in patients with rheumatoid arthritis (OPTION study): a double-blind, placebo-controlled, randomised trial. Lancet 371, 987–997 (2008)
Murray, J.D.: Mathematical Biology, vol. 1, 3rd edn. Springer (2003)
Samson, M., Audia, S., Janikashvili, N., Ciudad, M., Trad, M., Fraszczak, J., Ornetti, P.I., Maillefert, J.F., Miossec, P., Bonnotte, B.: Inhibition of interleukin-6 function corrects Th17/Treg cell imbalance in patients with rheumatoid arthritis. Arthritis Rheum. 64(8), 2499–2503 (2012)
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Odisharia, K., Odisharia, V., Tsereteli, P., Janikashvili, N. (2019). On the Mathematical Model of Drug Treatment of Rheumatoid Arthritis. In: Jaiani, G., Natroshvili, D. (eds) Mathematics, Informatics, and Their Applications in Natural Sciences and Engineering. AMINSE 2017. Springer Proceedings in Mathematics & Statistics, vol 276. Springer, Cham. https://doi.org/10.1007/978-3-030-10419-1_10
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DOI: https://doi.org/10.1007/978-3-030-10419-1_10
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