Turing Analysis of a Mathematical Model for Interaction between Tumor Cell and Its Inhibitor
Journal: Academic Journal of Applied Mathematical Sciences (Vol.3, No. 5)Publication Date: 2017-05-15
Authors : Serdal Pamuk; Irem Cay;
Page : 46-51
Keywords : Turing instability; Reaction-diffusion system; Tumor cell; Inhibitor.;
Abstract
This work has been presented at ICFAS2016, ”International Congress on Fundamental and Applied Sciences, 22-26 Aug, 2016, Istanbul, Turkey”. In this paper we present a 2D mathematical model which is related to the interaction between tumor cell and its inhibitor. We obtain some necessary conditions in order for Turing instability to occur. We also provide some numerical examples to verify our theoretical results.
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