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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Hauptverfasser: Mostolizadeh, Reihaneh (VerfasserIn) , Afsharnezhad, Zahra (VerfasserIn) , Marciniak-Czochra, Anna (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 2018
In: Numerical algebra, control and optimization
Year: 2018, Jahrgang: 8, Heft: 1, Pages: 63-80
ISSN:2155-3297
DOI:10.3934/naco.2018004
Online-Zugang:Resolving-System, Volltext: http://dx.doi.org/10.3934/naco.2018004
Volltext
Verfasserangaben:Reihaneh Mostolizadeh, Zahra Afsharnezhad, Anna Marciniak-Czochra

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520 |a 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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