Stanford Mechanics and Computation
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Mathematical models for the cardiovascular system: numerical simulation, control and optimization, clinical applications Mathematical models allow the description of the complex interactions which govern the blood motion and artery wall deformation under the pressure pulse, or the interplay between electrical, mechanical and fluid-dynamical processes occurring in the heart. Appropriate reduction strategies can be devised to allow for an effective description of the interaction between large, 3D components, and small 1D branches of the circulatory system, as well as the simulation, control and shape optimization of assisted devices or surgical prostheses. This presentation will address some of these issues and a few representative applications.
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