Mathematical model of chimeric anti-gene receptor (CAR) T cell therapy with presence of cytokine

• Verfasst von: Mostolizadeh, Reihaneh [VerfasserIn]
• Verfasst von: Afsharnezhad, Zahra [VerfasserIn]
• Verfasst von: Marciniak-Czochra, Anna [VerfasserIn]
• Titel: Mathematical model of chimeric anti-gene receptor (CAR) T cell therapy with presence of cytokine
• Verf.angabe: Reihaneh Mostolizadeh, Zahra Afsharnezhad, Anna Marciniak-Czochra
• Umfang: 18 S.
• Fussnoten: Gesehen am 27.06.0218
• Titel Quelle: Enthalten in: Numerical algebra, control and optimization
• Jahr Quelle: 2018
• Band/Heft Quelle: 8(2018), 1, S. 63-80
• ISSN Quelle: 2155-3297
• DOI: doi:10.3934/naco.2018004
• Sprache: eng
• K10plus-PPN: 1576927180

Abstract

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.