Mathematical modeling and simulation of the evolution of plaques in blood vessels

DOI10.1007/s00285-015-0934-8zbMath1343.35190OpenAlexW2239542188WikidataQ50852151 ScholiaQ50852151MaRDI QIDQ259239

F. Blanchet-Sadri, M. Dambrine

Publication date: 11 March 2016

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

Full work available at URL: http://archiv.ub.uni-heidelberg.de/volltextserver/16425/1/Dissertation_Yang.pdf

zbMATH Keywords

fluid-structure interactionatherosclerotic plaque formationcomputing wall stressescoupling biomechanical reactions and biomechanicsmodelling tissue growth

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Navier-Stokes equations (35Q30) Biomechanics (92C10) Biomechanical solid mechanics (74L15)

Related Items (20)

Transport of platelets induced by red blood cells based on mixture theory ⋮ An optimization framework for the computation of time-periodic solutions of partial differential equations ⋮ On a fluid–structure interaction problem for plaque growth ⋮ Numerical simulations of a 3D fluid-structure interaction model for blood flow in an atherosclerotic artery ⋮ A lipid-structured model of atherosclerotic plaque macrophages with lipid-dependent kinetics ⋮ A Fast Front-Tracking Approach and Its Analysis for a Temporal Multiscale Flow Problem with a Fractional Order Boundary Growth ⋮ Short-time existence of a quasi-stationary fluid-structure interaction problem for plaque growth ⋮ A multiphase model of growth factor-regulated atherosclerotic cap formation ⋮ Error analysis of an effective numerical scheme for a temporal multiscale plaque growth problem ⋮ Stress‐modulated growth in the presence of nutrients—Existence and uniqueness in one spatial dimension ⋮ Efficient Approximation of Flow Problems With Multiple Scales in Time ⋮ The Candy Wrapper Problem: A Temporal Multiscale Approach for PDE/PDE Systems ⋮ Mathematical and Numerical Models of Atherosclerotic Plaque Progression in Carotid Arteries ⋮ Error analysis of finite difference/collocation method for the nonlinear coupled parabolic free boundary problem modeling plaque growth in the artery ⋮ On the impact of fluid structure interaction in blood flow simulations. Stenotic coronary artery benchmark ⋮ 3D mathematical model for blood flow and non-Fickian mass transport by a coronary drug-eluting stent ⋮ Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates ⋮ Mathematical modeling and numerical simulation of atherosclerotic plaque progression based on fluid-structure interaction ⋮ Quasi-simultaneous coupling methods for partitioned problems in computational hemodynamics ⋮ On a fluid-structure interaction problem for plaque growth: cylindrical domain

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