Mathematical model of CAR-T therapy taking into account cells targeting off-tumour antigens
In  two mathematical models of CAR-T (Chimeric Antigen Receptor T) cell therapy were presented. The results of this therapy against leukaemias and lymphomas were positive [2, 3], but in the case of solid tumours, including glioblastoma the results were less optimistic [4, 5]. We will focus on the mathematical analysis of one of presented models, that takes into account CAR-T cells targeting no-tumour and off-tumour antigens. The system consist of four ordinary differential equations. In  only an initial dose of CAR-T cell treatment was considered. We consider two kind of treatments: a constant one (which will be modelled by a source term of CAR-T cells) and periodic one (modelled by an impulsive differential equations). Basic mathematical properties of the model will be presented as well as an asymptotic dynamics of solutions will be discussed.
Copyright (c) 2023 Marek Bodnar, Urszula Foryś, Monika J. Piotrowska, Mariusz Bodzioch, Jose A. Romero-Rosale, Juan Belmonte-Beitia
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