Analytical Solutions for Simulation of Mathematical Modelling of Liposomal Drug Release to Tumor by Adomian Decomposition Method.

Abstract

In this paper,  the  system of partial differential equations of the  thermo sensitive liposome-mediated drug delivery  model is solved analytically by applied the Adomian decomposition method with the appropriate initial and boundary  condition as well. Also, to determine the effectiveness of suggested models, simulated results were in comparison to the corresponding experimental information , and an important agreement was reached . So that a quantitative analysis is finally done by numerical simulation by adopting the values of all typical parameters to clarify the drug concentrations behavior with increasing time in different cases.

Keywords: Local drug ; Drug delivery ; cancer stem cells ; Adomian decomposition method ; Different locations.