Turing Analysis of a Mathematical Model for Interaction between Tumor Cell and Its Inhibitor

Serdal Pamuk and Irem Cay
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Serdal Pamuk: Department of Mathematics, University of Kocaeli, Umuttepe Campus, 41380, Kocaeli – Turkey
Irem Cay: Department of Mathematics, University of Kocaeli, Umuttepe Campus, 41380, Kocaeli - Turkey

Academic Journal of Applied Mathematical Sciences, 2017, vol. 3, issue 5, 46-51

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.

Keywords: Turing instability; Reaction-diffusion system; Tumor cell; Inhibitor. (search for similar items in EconPapers)
Date: 2017
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