A numerical algorithm for avascular tumor growth model

DOI10.1016/j.matcom.2009.09.011zbMath1193.92062OpenAlexW2079582941MaRDI QIDQ974266

Mohammed Shuker Mahmood, Silvia Mahmood, Dušan Dobrota

Publication date: 27 May 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.09.011

zbMATH Keywords

necrotic corecell movement

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Moving boundary problems for PDEs (35R37)

Related Items (4)

A numerical method based on the moving mesh for the solving of a mathematical model of the avascular tumor growth ⋮ Identification of some unknown parameters in an aggressive-invasive cancer model using adjoint approach ⋮ Formulation and numerical simulations of a continuum model of avascular tumor growth ⋮ Combined higher-order finite volume and finite element scheme for double porosity and nonlinear adsorption of transport problem in porous media

Cites Work

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• A HYBRID MODEL FOR TUMOR SPHEROID GROWTH IN VITRO I: THEORETICAL DEVELOPMENT AND EARLY RESULTS
• Analysis of Galerkin-characteristics algorithm for variably saturated flow in porous media
• Models for the Growth of a Solid Tumor by Diffusion

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