Bodnar, Marek ; Foryś, Urszula ; Piotrowska, Monika J. ; Bodzioch, Mariusz ; Romero-Rosales, Jose A. ; Belmonte-Beitia, Juan
Foryś, Urszula - ed. ; Rejniak, Katarzyna - ed. ; Pękala, Barbara - ed. ; Bartłomiejczyk, Agnieszka - ed.
Chimeric antigen receptor T (CAR-T) cell therapy has been proven to be successful against different leukaemias and lymphomas. Its success has led, in recent years, to its use being tested for different solid tumours, including glioblastoma, a type of primary brain tumour, characterised by aggressiveness and recurrence. This paper presents an analytical study of a mathematical model describing the competition of CAR-T and glioblastoma tumour cells, taking into account their immunosuppressive capacity. ; The model is formulated in a general way, and its basic properties are investigated. However, most of the analysis considers the model with exponential tumour growth, assuming this growth type for simplicity. The existence and stability of steady states are studied, and the subsequent focus is on two different types of treatment: constant and periodic. Finally, protocols for CAR-T cell therapy of glioblastoma are numerically derived; these are aimed at preventing the tumour from reaching a critical size and at prolonging the patients` survival time as much as possible. The analytical and numerical results provide theoretical support for the treatment of glioblastoma using CAR-T cells.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 33, number 3 (2023) ; click here to follow the link
Biblioteka Uniwersytetu Zielonogórskiego
Jul 25, 2025
Jul 25, 2025
12
https://zbc.uz.zgora.pl/repozytorium/publication/101597
| Edition name | Date |
|---|---|
| On the analysis of a mathematical model of CAR-T cell therapy for glioblastoma: Insights from a mathematical model | Jul 25, 2025 |
Bodnar, Marek Foryś, Urszula Arino, Ovide - ed.
Zduniak, Beata Bodnar, Marek Foryś, Urszula Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Bartłomiejczyk, Agnieszka Bodnar, Marek Bogdańska, Magdalena U. Piotrowska, Monika J. Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
Foryś, Urszula Marciniak-Czochra, Anna Kimmel, Marek - red. Lachowicz, Mirosław - red. Świerniak, Andrzej - red.
Kapliński, Oleg Świtka, Romuald - red.
Tomczyk, Barbara Kuczma, Mieczysław - red.