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Adaptive numerical methods and multiscale mathematical models in cardiology

Mathematical Biology

Speaker: Boyce Griffith, NYU School of Medicine
Location: 2112 MSB
Start time: Mon, Nov 15 2010, 3:10PM

In this talk, I will describe adaptive numerical methods for simulating cardiac fluid mechanics, and adaptive multiscale mathematical models of electrical impulse propagation in cardiac muscle tissue. Block-structured adaptive mesh refinement (AMR) is used in both application areas to construct adaptively-refined discretizations that deploy high spatial or model resolution only where needed, e.g., in the vicinity of fluid-structure interfaces in the case of cardiac fluid mechanics, or in the vicinity of action potential wavefronts in the case of cardiac electrophysiology. Simulation results will be presented from models of blood flow in the heart, fluid-structure interaction in natural and prosthetic heart valves, and electrical impulse propagation in cardiac muscle.