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In this study, we consider Murray’s and Glioma’s tumor growth models based on reaction- diffusion equation. Mathematical modeling of tumor development are involved with the associated experimental work, reasoning the final relationship between experimental and theoretical approaches and these lead a path to model the prediction of tumor growth. Initially, we study the primary model of tumor growth which is connected with the ordinary differential equations and finally extended the problem to reaction-diffusion models. We predict the tumor growth model using numerical study and the observation in different zone of time. The goal of tumor growth prediction is to model the tumor growth process, which can be achieved by theoretical mathematical modeling collaboration with the model personalization from clinical assessment. After certain time period, it is shown that the mathematical model shows the tumor cell population reaching a maximum cell number that the tissue can carry.