MATHEMATICAL ANALYSIS AND NUMERICAL SIMULATIONS FOR THE CANCER TISSUE INVASION MODEL

Abstract

Cancer cell invasion is one of the most important stages of metastasis. In this paper, the local existence and uniqueness of the cancer cellinvasion model is proved using an iterative procedure. Moreover the numericalsimulations are performed using a combination of a nonstandard Önite di§erence scheme and backward and forward Euler methods. It is seen that theresults agree well with the expected behaviour of the invasion.