On the Analysis of a Mathematical Model of CAR–T Cell Therapy for Glioblastoma: Insights from a Mathematical Model
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 aggressive...
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| Format: | Article |
| Language: | English |
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Sciendo
2023-09-01
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| Series: | International Journal of Applied Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.34768/amcs-2023-0027 |
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| author | Bodnar Marek Foryś Urszula Piotrowska Monika J. Bodzioch Mariusz Romero-Rosales Jose A. Belmonte-Beitia Juan |
| author_facet | Bodnar Marek Foryś Urszula Piotrowska Monika J. Bodzioch Mariusz Romero-Rosales Jose A. Belmonte-Beitia Juan |
| author_sort | Bodnar Marek |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T18:15:49Z |
| format | Article |
| id | doaj.art-13f978502d6d422d8b332892f5007215 |
| institution | Directory Open Access Journal |
| issn | 2083-8492 |
| language | English |
| last_indexed | 2024-03-11T18:15:49Z |
| publishDate | 2023-09-01 |
| publisher | Sciendo |
| record_format | Article |
| series | International Journal of Applied Mathematics and Computer Science |
| spelling | doaj.art-13f978502d6d422d8b332892f50072152023-10-16T06:08:09ZengSciendoInternational Journal of Applied Mathematics and Computer Science2083-84922023-09-0133337939410.34768/amcs-2023-0027On the Analysis of a Mathematical Model of CAR–T Cell Therapy for Glioblastoma: Insights from a Mathematical ModelBodnar Marek0Foryś Urszula1Piotrowska Monika J.2Bodzioch Mariusz3Romero-Rosales Jose A.4Belmonte-Beitia Juan51Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097Warsaw, Poland1Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097Warsaw, Poland1Institute of Applied Mathematics and Mechanics, University of Warsaw, Banacha 2, 02-097Warsaw, Poland2Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn, Słoneczna 54, 10-710Olsztyn, Poland3Mathematical Oncology Laboratory (MOLAB), University of Castilla–La Mancha, Avda. Camilo José Cela s/n, 13071Ciudad Real, Spain3Mathematical Oncology Laboratory (MOLAB), University of Castilla–La Mancha, Avda. Camilo José Cela s/n, 13071Ciudad Real, SpainChimeric 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.https://doi.org/10.34768/amcs-2023-0027glioblastomacar-t cell therapymathematical modellingperiodic treatment |
| spellingShingle | Bodnar Marek Foryś Urszula Piotrowska Monika J. Bodzioch Mariusz Romero-Rosales Jose A. Belmonte-Beitia Juan On the Analysis of a Mathematical Model of CAR–T Cell Therapy for Glioblastoma: Insights from a Mathematical Model International Journal of Applied Mathematics and Computer Science glioblastoma car-t cell therapy mathematical modelling periodic treatment |
| title | On the Analysis of a Mathematical Model of CAR–T Cell Therapy for Glioblastoma: Insights from a Mathematical Model |
| title_full | On the Analysis of a Mathematical Model of CAR–T Cell Therapy for Glioblastoma: Insights from a Mathematical Model |
| title_fullStr | On the Analysis of a Mathematical Model of CAR–T Cell Therapy for Glioblastoma: Insights from a Mathematical Model |
| title_full_unstemmed | On the Analysis of a Mathematical Model of CAR–T Cell Therapy for Glioblastoma: Insights from a Mathematical Model |
| title_short | On the Analysis of a Mathematical Model of CAR–T Cell Therapy for Glioblastoma: Insights from a Mathematical Model |
| title_sort | on the analysis of a mathematical model of car t cell therapy for glioblastoma insights from a mathematical model |
| topic | glioblastoma car-t cell therapy mathematical modelling periodic treatment |
| url | https://doi.org/10.34768/amcs-2023-0027 |
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