Mathematical model of tumour cord growth along the source of nutrient

DOI10.1051/mmnp:2007007zbMath1337.92025OpenAlexW2072296424MaRDI QIDQ2788517

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Publication date: 19 February 2016

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp:2007007

zbMATH Keywords

level set methodfinite differencetumour growthmathematical modelhypoxiamixture theorytumour cordstumour-host interface

Mathematics Subject Classification ID

Medical applications (general) (92C50) Free boundary problems for PDEs (35R35) Cell movement (chemotaxis, etc.) (92C17)

Related Items (8)

Mathematical modelling of the Warburg effect in tumour cords ⋮ Necrotic core in EMT6/Ro tumour spheroids: is it caused by an ATP deficit? ⋮ Initial/boundary-value problems of tumor growth within a host tissue ⋮ Three-dimensional multispecies nonlinear tumor growth. II: Tumor invasion and angiogenesis ⋮ Ultrasound detection of externally induced microthrombi cloud formation: a theoretical study ⋮ Mathematical model of tumour cord growth along the source of nutrient ⋮ A review of mathematical models for the formation of vascular networks ⋮ The Steady State of Multicellular Tumour Spheroids: A Modelling Challenge

Uses Software

• GSL

Cites Work

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• Algorithm 832
• A MATHEMATICAL MODEL FOR TUMOR CORDS INCORPORATING THE FLOW OF INTERSTITIAL FLUID

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