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Analytical and numerical solutions for glial cells interactions between ’chemo-immunotherapy and cancer’

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Abstract

Cancer continues to be one of the most daunting obstacles to human health, which is why there is a never-ending attempt to create therapies that are particularly successful. For the purpose of improving treatment options and actively combating brain tumours, it is critical to have a complete comprehension of the intricate interactions that occur between cancer cells, the immune system, and therapeutic treatments. So, we suggest a model that shows how healthy cells (glial) and glioma cells (cancer cells), neurons, CD8+ T cells, macrophages, immunotherapy, and chemotherapy interact with each other by using differential equations. Positivity and boundedness are investigated. A further investigation of the analytical procedure has been carried out. Additionally, stability analysis is evaluated, and numerical simulations are provided in three different categories for the model that we have presented. A graph comparison is made between the numerical and the analytical in order to figure out the model’s quality in the discussion and conclusion. Among them, chemo-immunotherapy has emerged as a promising strategy that allows for the use of the synergistic effects of immunotherapy and chemotherapy in order to battle the development of tumours and the spread of diseases.

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Author notes

  1. T. Jayakumar, S. Sujitha and D. Maheskumar have contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamilnadu, 641020, India

    E. Vargees Kaviyan, T. Jayakumar & S. Sujitha

  2. Department of Science and Humanities, Sri Krishna College of Technology, Coimbatore, Tamilnadu, 641042, India

    D. Maheskumar

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  1. E. Vargees Kaviyan
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  2. T. Jayakumar
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  3. S. Sujitha
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  4. D. Maheskumar
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Each contributor made an equal contribution to the paper. The article was reviewed and approved by all writers.

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Correspondence to E. Vargees Kaviyan.

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Kaviyan, E.V., Jayakumar, T., Sujitha, S. et al. Analytical and numerical solutions for glial cells interactions between ’chemo-immunotherapy and cancer’. OPSEARCH (2024). https://doi.org/10.1007/s12597-024-00812-x

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