Ragheb Mghames, Karim Amin, Hussein Fakih, Sami Hammoud, Assmaa Taha, "Analysis of a Delay Differential Equation model of Allergic reactions in Acute Lymphoblastic Leukemia," WSEAS Transactions on Biology and Biomedicine, vol. 23, pp. 30-41, 2026, DOI:10.37394/23208.2026.23.4
Ragheb Mghames, Karim Amin, Hussein Fakih, Sami Hammoud, Assmaa Taha. Analysis of a Delay Differential Equation model of Allergic reactions in Acute Lymphoblastic Leukemia.
WSEAS Transactions on Biology and Biomedicine. 2026;23:30-41. 10.37394/23208.2026.23.4
WSEAS Transactions on Biology and Biomedicine
Print ISSN: 1109-9518, E-ISSN: 2224-2902
Volume 23, 2026
Analysis of a Delay Differential Equation model of Allergic reactions in Acute Lymphoblastic Leukemia
Authors: , , , ,
Abstract: In this article, we explore the cellular dynamics of Lymphoblasts in patients undergoing therapy
for acute lymphoblastic leukemia, emphasizing potential allergic reactions. We also extend previous
models to incorporate desensitization processes linked to hypersensitivity caused by chemotherapy.
Furthermore, we analyze the interactions between the immune system and cancer progression, excluding
allergies, using linear stability analysis and mathematical simulations.
Keywords:
Acute lymphoblastic leukemia, Allergies, Immune Response, Equilibrium Points, Stability
Analysis, Critical Case
Pages: 30-41 WSEAS Transactions on Biology and Biomedicine, ISSN / E-ISSN: 1109-9518 / 2224-2902, Volume 23, 2026, Art. #4 DOI: 10.37394/23208.2026.23.4
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