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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 |
Description
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.