A conservative and variation preserving finite volume method for non-overlapping meshes of reaction and diffusion in angiogenesis

DOI10.1016/j.cam.2014.08.002zbMath1297.65103OpenAlexW2125610817MaRDI QIDQ457721

Leela Rakesh, Xiaoming Zheng, En Bing Lin, Yeon Hyang Kim

Publication date: 29 September 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.08.002

zbMATH Keywords

angiogenesisgrowth factorconservativenon-overlapping meshesreaction and diffusionvariation preserving

Mathematics Subject Classification ID

Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Cites Work

• Lattice and non-lattice models of tumour angiogenesis
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• A continuous model of angiogenesis: initiation, extension, and maturation of new blood vessels modulated by vascular endothelial growth factor, angiopoietins, platelet-derived growth factor-B, and pericytes
• A cell-based model of endothelial cell migration, proliferation and maturation during corneal angiogenesis
• Stochastic modelling of tumour-induced angiogenesis
• Continuous and discrete mathematical models of tumor-induced angiogenesis
• Mathematical modeling of tumor-induced angiogenesis
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