Authors :
Ibrahim Jamiu Omotola
Volume/Issue :
Volume 8 - 2023, Issue 10 - October
Google Scholar :
https://tinyurl.com/26t8ysjx
Scribd :
https://tinyurl.com/2p9ffrmz
DOI :
https://doi.org/10.5281/zenodo.10254812
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.
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.
