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Applied Math Seminar
Mathematical Models of Blood Flow in Arteries
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Mathematical models ranging from lumped parameter, one-dimensional wave propagation, and most recently three-dimensional fluid-structure interaction methods, can all be used with effect to describe velocity and pressure fields in arteries. With data obtained from modern three-dimensional imaging techniques, it is now possible to simulate blood flow in subject-specific models. This has enabled an entirely new application of cardiovascular fluid mechanics, namely predicting changes in blood flow resulting from possible therapeutic interventions for individual patients. Methods to construct patient-specific geometric models of the vascular system from three-dimensional imaging data, plan treatments and solve the governing 3D or 1D wave propagation equations will be discussed. |