RT journal article T1 Understanding the role of B cells in CAR T-cell therapy in leukemia through a mathematical model A1 Serrano, Sergio A1 Barrio, Roberto A1 Martínez Rubio, Álvaro A1 Belmonte Beitia, Juan A1 Pérez-García, Víctor M. A2 Matemáticas AB Chimeric Antigen Receptor T (CAR-T) cell therapy has been proven to be successful against different leukaemias and lymphomas. This paper makes an analytical and numerical study of a mathematical model describing the competition of CAR-T, leukaemias tumor and B cells. Considering its significance in sustaining anti-CD19 CAR T-cell stimulation, we integrate a B-cell source term into the model. Through stability and bifurcation analyses, we reveal the potential for tumor eradication contingent on the continuous influx of B-cells, uncovering a transcritical bifurcation at a critical B-cell input. Additionally, we identify an almost heteroclinic cycle between equilibrium points, providing a theoretical basis for understanding disease relapse. Analyzing the oscillatory behavior of the system, we approximate the time-dependent dynamics of CAR T-cells and leukemic cells, shedding light on the impact of initial tumor burden on therapeutic outcomes. In conclusion, our study provides insights into CAR T-cell therapy dynamics for acute lymphoblastic leukemias, offering a theoretical foundation for clinical observations and suggesting avenues for future immunotherapy modeling research. SN 1089-7682 YR 2024 FD 2024-09-09 LK http://hdl.handle.net/10498/35808 UL http://hdl.handle.net/10498/35808 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026