Fictitious domains and level sets for moving boundary problems. Applications to the numerical simulation of tumor growth

DOI10.1016/j.jcp.2010.11.005zbMath1207.92020OpenAlexW2060865413MaRDI QIDQ630368

Gema Camacho, Enrique Fernández-Cara, M. Carmen Calzada Canalejo, Mercedes Marín Beltrán

Publication date: 17 March 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.11.005

zbMATH Keywords

tumor growthlevel set methodfictitious domain method

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Numerical methods for partial differential equations, boundary value problems (65N99) Moving boundary problems for PDEs (35R37)

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The influence of soluble fragments of extracellular matrix (ECM) on tumor growth and morphology ⋮ Numerical solution of a two dimensional tumour growth model with moving boundary ⋮ Optimal control oriented to therapy for a free-boundary tumor growth model

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