Mathematical Analysis and Numerical Simulations for the Cancer Tissue Invasion Model

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:1
Mathematical Analysis and Numerical Simulations for the Cancer Tissue Invasion Model

Mathematical Analysis and Numerical Simulations for the Cancer Tissue Invasion Model

Authors : Gülnihal MERAL, İbrahim Çağatay YAMANLAR

Pages : 371-391

Doi:10.31801/cfsuasmas.421546

View : 16 | Download : 10

Publication Date : 2019-02-01

Article Type : Research Paper

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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