Homotopy Perturbation Method for Solving Cell Cycle of Tumoural Cells
N. S. Ravindran, M. Mohamed Sheri, P. Krishnapriya
Journal of Advances in Mathematics and Computer Science · pp. 3271–3285 · Published 23 Sep 2014
10.9734/BJMCS/2014/12519Abstract
In this work we present a mathematical model for tumour growth based on the biology of the cell cycle. Our model reproduces the dynamics of three different tumour cell populations: Quiescent cells, cells during the inter phase and mitotic cells. Here, we investigate the stability analysis of the cancer-free equilibrium. We have implemented Homotopy perturbation method to give approximated analytical solutions of non-linear ordinary differential equations of system such as model for Tumoural growth. A modification of the homotopy perturbation method based on the use of Pade approximations is done. Some plots are presented to show the reliability and simplicity of the methods.
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Cited by 1
N. Ravindran, M. Sheriff · 2016
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