Publication Date: 2023/12/04
Abstract: Brain tumors have been reported to be among the highest causes of mortality. Based on the information from the Central Brain Tumor Registry of the United States (CBTRUS), it was projected that about 84,000 new cases of primary malignant and non-malignant brain and other central nervous system tumors were expected to be diagnosed in the United states in 2021. Brain Tumour is one of the illness that affect the Central Nervous System (CNS). Its effects are so critical and thereby requires an overhauling treatment. Over the years, different treatments have been employed to remove or alleviate the effects of this tumour. One of such treatments is the Chemotherapy approach. In this work, growth of brain tumour together with its treatment was modeled as a system of nonlinear ordinary differential equations. The existence and uniqueness of solution of this system were established. The steady states (equilibrium points) of this system were obtained and used to analyze its stability.
Keywords: Brain, Tumour, Chemotherapy, Steady States, Stability.
DOI: https://doi.org/10.5281/zenodo.10254812
PDF: https://ijirst.demo4.arinfotech.co/assets/upload/files/IJISRT23OCT1780.pdf
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