Autor: |
Abdullahy, R., Halanay, A., Amin, K., Mghame, R. |
Předmět: |
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Zdroj: |
Annals: Series on Mathematics & its Applications; 2023, Vol. 15 Issue 1/2, p443-472, 30p |
Abstrakt: |
A new model that captures the cellular evolution of patients undergoing maintenance therapy for acute lymphoblastic leukemia in connection with allergic reactions is considered. A previous model from is modified to include the cells involved in allergies induced by chemotherapy and desensitization. Delay differential equations are used to model cell evolution. General properties of solutions are deduced, eventually proving partial stability of certain equilibria with respect to some of the variables. The immune system's functioning, as well as the therapeutic role for cancer cure without interference of allergic reactions caused by this treatment, are also evaluated using numerical simulations. [ABSTRACT FROM AUTHOR] |
Databáze: |
Complementary Index |
Externí odkaz: |
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