Resumen: Chimeric antigen receptor T (CAR T) cell therapy has been proven to be successful against a variety of leukemias and lymphomas. This paper undertakes an analytical and numerical study of a mathematical model describing the competition of CAR T, leukemia, tumor, and B cells. Considering its significance in sustaining anti-CD19 CAR T-cell stimulation, a B-cell source term is integrated into the model. Through stability and bifurcation analyses, the potential for tumor eradication, contingent on the continuous influx of B cells, has been revealed, showing a transcritical bifurcation at a critical B-cell input. Additionally, an almost heteroclinic cycle between equilibrium points is identified, providing a theoretical basis for understanding disease relapse. Analyzing the oscillatory behavior of the system, the time-dependent dynamics of CAR T cells and leukemic cells can be approximated, shedding light on the impact of initial tumor burden on therapeutic outcomes. In conclusion, the 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. Idioma: Inglés DOI: 10.1063/5.0206341 Año: 2024 Publicado en: CHAOS 34, 8 (2024), [15 pp.] ISSN: 1054-1500 Financiación: info:eu-repo/grantAgreement/ES/AEI/PID2022-140341OB-I00 Financiación: info:eu-repo/grantAgreement/ES/AEI/PID2022-140451OB-I00 Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-23R Financiación: info:eu-repo/grantAgreement/ES/DGA/LMP 94-21 Tipo y forma: Artículo (PostPrint) Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)