Optimal control model of immunotherapy for autoimmune diseases

In this work, we develop a new mathematical model to evaluate the impact of drug therapies on autoimmunity disease. We describe the immune system interactions at the cellular level, using the kinetic theory approach, by considering self-antigen presenting cells, self-reactive T cells, immunosuppress...

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Veröffentlicht in:	Mathematical methods in the applied sciences 2021-07, Vol.44 (11), p.8883-8902
Hauptverfasser:	Costa, M. Fernanda P., Ramos, M. P. Machado, Ribeiro, Carolina, Soares, A. J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Antigens Autoimmune diseases Cauchy problems Cellular interactions Chemotherapy Ciências Naturais Cytokines Drug therapy general biology and biomathematics Health services Immune system Interleukins Kinetic theory linear ODEs Lymphocytes Macroscopic models Matemáticas Mathematical biology Mathematical Modelling Mathematical models non&#8208 non‐linear ODEs Optimal control Science & Technology
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