Comparative Study of Tumor Growth Based on Single Species Models

Although the ideal way to simulate tumour development is still unknown, mathematical models are often employed to forecast how cancer will advance and how treatments will be developed. Five alternative ordinary differential Equation (ODE) models of tumour development have been proposed: exponential, logistic, Allee effect, Gompertz, and Bertalanffy. The problem is no consensus exists on the best model for a given cancer type. Using a sample dataset, we compared how these quantities differ depending on the growth model chosen. Equations were developed to determine the largest possible size of the tumour and the least level of chemotherapy needed for suppressing the tumour.