Investigation of brain tumor behavior with mathematical model

In this graduate thesis, basic mathematical models such as (∂c ̅)/(∂t ̅ )=¯(∇ ) .J+ρc ̅ explaining brain tumor growth with the help of differential equations and reaction-diffusion mathematical models expressed by {█(∂_t u-div(D(x)∇u)-f(u)=0 ,on Ω⤬(0,T)@ D∇u.n=0 ,on ∂Ω⤬(0,T)@u(0)=φ , on Ω )┤ were examined and information is given on using differential equations to describe the growth of brain tumors. This thesis consist of five chapters. In the introduction part of the first chapter, detailed information about the current literature is presented. In the second and third chapters, some mathematical models about the use of differential equations in brain tumor models and the properties of these models are mentioned. In the fourth chapter, some existing findings are mentioned and the fifth chapter is devoted to the conclusion. KEYWORDS: Brain Tumors, Mathematical Model, Tumor Growth, Cancer Tumors