Mathematical model of chimeric anti-gene receptor (CAR) T cell therapy with presence of cytokine
In this paper, we reconstruct a mathematical model of therapy by CAR T cells for acute lymphoblastic leukemia (ALL) With injection of modified T cells to body, then some signs such as fever, nausea and etc appear. These signs occur for the sake of cytokine release syndrome (CRS). This syndrome has a...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2018
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| In: |
Numerical algebra, control and optimization
Year: 2018, Volume: 8, Issue: 1, Pages: 63-80 |
| ISSN: | 2155-3297 |
| DOI: | 10.3934/naco.2018004 |
| Online Access: | Resolving-System, Volltext: http://dx.doi.org/10.3934/naco.2018004
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| Author Notes: | Reihaneh Mostolizadeh, Zahra Afsharnezhad, Anna Marciniak-Czochra |
| Summary: | In this paper, we reconstruct a mathematical model of therapy by CAR T cells for acute lymphoblastic leukemia (ALL) With injection of modified T cells to body, then some signs such as fever, nausea and etc appear. These signs occur for the sake of cytokine release syndrome (CRS). This syndrome has a direct effect on result and satisfaction of therapy. So, the presence of cytokine will be played an important role in modelling process of therapy (CAR T cells). Therefore, the model will include the CAR T cells, B healthy and cancer cells, other circulating lymphocytes in blood, and cytokine. We analyse stability conditions of therapy Without any control, the dynamic model evidences sub-clinical or clinical decay, chronic destabilization, singularity immediately after a few hours and finally, it depends on the initial conditions. Hence, we try to show by which conditions, therapy will be effective. For this aim, we apply optimal control theory. |
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| Item Description: | Gesehen am 27.06.0218 |
| Physical Description: | Online Resource |
| ISSN: | 2155-3297 |
| DOI: | 10.3934/naco.2018004 |