Formulation and numerical simulations of a continuum model of avascular tumor growth

DOI10.1016/j.mbs.2011.03.002zbMath1214.92043OpenAlexW2043655938WikidataQ51593364 ScholiaQ51593364MaRDI QIDQ541892

Mohammed Shuker Mahmood, Dušan Dobrota, Silvia Mahmood

Publication date: 8 June 2011

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2011.03.002

zbMATH Keywords

cell cyclecell movement

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) 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) Cell biology (92C37) Moving boundary problems for PDEs (35R37)

Related Items (4)

Identification of some unknown parameters in an aggressive-invasive cancer model using adjoint approach ⋮ Combined higher-order finite volume and finite element scheme for double porosity and nonlinear adsorption of transport problem in porous media ⋮ Modelling acidosis and the cell cycle in multicellular tumour spheroids ⋮ Modelling tumour cell proliferation from vascular structure using tissue decomposition into avascular elements

Cites Work

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• Modelling the formation of necrotic regions in avascular tumours
• Mathematical Models of Avascular Tumor Growth
• Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour
• Modelling solid tumour growth using the theory of mixtures
• 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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