Mathematical Analysis and Numerical Simulations for the Cancer Tissue Invasion Model

Year 2019, Volume: 68 Issue: 1, 371 - 391, 01.02.2019

Gülnihal Meral İbrahim Çağatay Yamanlar

https://doi.org/10.31801/cfsuasmas.421546

Cited By: 2

Abstract

Cancer cell invasion is one of the most important stages of metastasis. In this paper, the local existence and uniqueness of the cancer cell invasion model is proved using an iterative procedure. Moreover the numerical simulations are performed using a combination of a nonstandard finite difference scheme and backward and forward Euler methods. It is seen that the results agree well with the expected behaviour of the invasion.

Keywords

Cancer cell invasion, mathematical modelling, reaction-diffusion equation

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