Mathematical Analysis and Numerical Simulations for a Model of Atherosclerosis

DOI10.1007/978-4-431-56457-7_21zbMath1366.76104OpenAlexW2558577633MaRDI QIDQ5278265

Telma Silva, Jorge Tiago, Adélia Sequeira

Publication date: 13 July 2017

Published in: Mathematical Fluid Dynamics, Present and Future (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-56457-7_21

zbMATH Keywords

monotone sequencesupper and lower solutionsnonlinear boundary conditionsreaction-diffusion equationsatherosclerosisexistence-comparison theorem

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Physiological flows (76Z05)

Cites Work

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• Existence, uniqueness, stability and asymptotic behavior of solutions for a mathematical model of atherosclerosis
• Reaction-diffusion model of atherosclerosis development
• Mathematical and numerical modeling of early atherosclerotic lesions
• Mathematical modelling of atherosclerosis as an inflammatory disease
• Mathematical modelling of the atherosclerotic plaque formation

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