A free boundary problem modeling thrombus growth. Model development and numerical simulation using the level set method

DOI10.1007/s00285-009-0324-1zbMath1205.92010OpenAlexW1575320394WikidataQ51759205 ScholiaQ51759205MaRDI QIDQ604556

Frédéric Frank Weller

Publication date: 11 November 2010

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-009-0324-1

zbMATH Keywords

Fluid dynamicsShear stressLevel set methodFree boundary problemThrombus growth

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Physiology (general) (92C30) Free boundary problems for PDEs (35R35) Physiological flows (76Z05) Physiological flow (92C35) Moving boundary problems for PDEs (35R37)

Related Items (6)

Numerical simulations of a reduced model for blood coagulation ⋮ Analysis of a mathematical model of rheumatoid arthritis ⋮ Mathematical Models for Blood Coagulation ⋮ A phase-field method applied to interface tracking for blood clot formation. ⋮ Numerical validation of a synthetic cell-based model of blood coagulation ⋮ Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations and Schauder's estimates for a degenerate parabolic problem with dynamic boundary conditions

Uses Software

• GASCOIGNE
• VisuSimple

Cites Work

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• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Multigrid techniques for finite elements on locally refined meshes
• Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
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