A Mathematical Approach in the Design of Arterial Bypass Using Unsteady Stokes Equations
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In this paper we present an approach for the study of Aorto-Coronaric bypass anastomoses configurations using unsteady Stokes equations. The theory of optimal control based on adjoint formulation is applied in order to optimize the shape of the zone of the incoming branch of the bypass (the toe) into the coronary according to several optimality criteria.
KeywordsOptimal control shape optimization small perturbation theory finite elements unsteady Stokes equations haemodynamics aorto-coronaric bypass anastomoses design of improved medical devices
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