A numerical algorithm for avascular tumor growth model |
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| Authors: | Mohammed Shuker Mahmood,Silvia Mahmood,Du&scaron an Dobrota |
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| Affiliation: | 1. Department of Applied Mathematics, Mechanical Engineering Faculty, University of ?ilina, 010 26 ?ilina, Slovakia;2. Institute of Medical Biochemistry, Jessenius Faculty of Medicine, Comenius University, 037 54 Martin, Slovakia |
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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. |
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| Keywords: | Avascular tumor growth Necrotic core Cell movement Numerical solution |
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