Title: Approximate Analytical Solution of a Cancer Immunotherapy Model by the Application of Differential Transform and Adomian Decomposition Methods,
Abstract: Immunotherapy plays a major role in tumour treatment, in comparison with
other methods of dealing with cancer. The Kirschner-Panetta (KP) model of
cancer immunotherapy describes the interaction between tumour cells, effector
cells and interleukin-2 which are clinically utilized as medical treatment. The
model selects a rich concept of immune-tumour dynamics. In this paper,
approximate analytical solutions to KP model are represented by using the
differential transform and Adomian decomposition. The complicated nonlinearity
of the KP system causes the application of these two methods to require more
involved calculations. The approximate analytical solutions to the model are
compared with the results obtained by numerical fourth order Runge-Kutta
method.