Analytical Simulation to Study the Behavior of Cancerous Tumors by Using Shehu Transformation-Akbari-Ganji’s Method with the Padé Approximation
DOI:
https://doi.org/10.51699/ijhsms.v2i12.3167Keywords:
Shehu transformation, Akbari -Ganji’s method, Padé approximation, Tumors, Immunotherapy, Cytokine, StabilityAbstract
This paper presents an approximate analytical study of the dynamic model of the interaction between lymphocytes and tumor cells in the presence of cytokines. A new method that combines the Shehu transformation and Akbari-Ganji method with the Padé approximation was applied. The accuracy and high efficiency of this method were demonstrated by error tables and graphs. The study found that the rate and duration of treatment had a significant effect on preventing the growth of cancer cells and improving the function of cancer-fighting lymphocytes, confirming the importance of studying and determining the optimal concentrations of cytokines that contribute to inhibiting the growth of cancer cells and improving the function of lymphocytes in fighting cancer.
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