A Computational Approach for Solving Fractional Model of Malignant Tumour Growth based on Dynamics of Cell Cycle

Abstract

We have studied the fractional order mathematical model of malignant tumour growth based on cell cycle dynamics in this work. The model describes three different tumour cell dynamics of the population; quiescent cells, interphase cells, and mitotic cells. The studied model is based on fractional order differential equations. A computational approach has been implemented to give approximate solution of this fractional model. The model can be used to describe the graphical behavior of tumour cells. The computational results have been presented graphically to show the advantage and the efficiency of the scheme for fractional order malignant tumour growth model.