Canadian Open Mathematical Modeling and Applied Computing Journal Vol. 1, No. 1, August 2014, pp. 1- 19 Available online at http://crpub.com/Journals.php Open access Copyright © crpub.com, all rights reserved. 1 Research article Mathematical modeling and analysis of solid cancer growth with angiogenesis 1 SP. Ganesan, 2 V. Ananthaswamy * , 2 L. Rajendran 1 Department of Mathematics, Syed Ammal Engineering College, Ramnad, Tamil Nadu, India 2 Department of Mathematics, The Madura College, Madurai, Tamil Nadu, India. * Corresponding author e-mail: ananthu9777@rediffmail.com Abstract A mathematical model of solid cancer growth with angiogenesis in the absence of cancer controlling mechanism has been discussed. The intial conditions supplied to the dynamical system consists of a perturbation in the form of pulse. The aim of this method is to derive the approximated analytical solution of non-linear differential equations in the dynamics of cancer growth using the Homotopy perturbation method. Our analytical results are compared with the numerical simulation and a satisfactory agreement is observed. This method can be easily extended to solve the strongly nonlinear initial and boundary value problems arising in all applied sciences and technology problems. Keywords: Mathematical modeling; Cancer growth; System of nonlinear differential equation; Homotopy perturbation method; Numerical simulation. ______________________________________________________________________________ 1. Introduction Mathematical models of cancer growth have been the subject of research activity for many years. Cancer arises when within a single cell multiple malfunctions of control systems occur, which are broad, the system that promote cell growth and the system that protect against erratic growth [1]. In Gompertzian model [2-3], logistic and power function have been extensively used to describe tumor growth dynamics [4-5]. These simple formalisms have been also used to investigate different therapeutic strategies such as antiangiogenic or radiation treatments [6].