Technical report: the estimation of the tumor growth rate and the equation solution of the mathematics model / Akma Azreena Ahmad Kamal, Nur Yasmin Abdullah and Siti Nurul Natasha Khairil Huslaini

The aim of this project is to calculate the growth rate of tumor using logistic equation and determining the equilibrium solution of the model. Logistic equation is commonly used in calculating the population growth model. The process to calculate the growth rate of tumor is applied on the experimental data for Ehrlich ascites tumor (EAT) in a mouse taken from Krug & Taubert (1985). By using MATLAB and Microsoft Excel, a logistic test behavior is performed to determine whether the data is reasonably logistic. Next, a graphical test using Microsoft Excel is used to estimate the parameters r and K the equilibrium solution for this problem is obtained by using Maple. Finally, the results obtained through this study are r = 0.4691 and k=120x10⁷