A numerical algorithm for avascular tumor growth model

Authors:
Mohammed Shuker Mahmood;Silvia Mahmood;Dušan Dobrota
Affiliations:
Department of Applied Mathematics, Mechanical Engineering Faculty, University of ilina, 010 26 ilina, Slovakia;Institute of Medical Biochemistry, Jessenius Faculty of Medicine, Comenius University, 037 54 Martin, Slovakia;Institute of Medical Biochemistry, Jessenius Faculty of Medicine, Comenius University, 037 54 Martin, Slovakia
Venue:
Mathematics and Computers in Simulation
Year:
2010

Citing 4
Cited 1

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Abstract

Avascular tumor growth model for multicellular spheroids is considered. The model is a moving boundary problem and consists of three types of cells. The governing equations are nonlinear hyperbolic and/or parabolic differential equations. Comparisons of the numerical solutions with the solution of the recent studies are done. The effect of the necrotic region on the tumor growth is discussed.