Journal of Scientific Computing

, Volume 28, Issue 2, pp 139–165

A Mathematical Approach in the Design of Arterial Bypass Using Unsteady Stokes Equations

Authors

    • Institute of Numerical MathematicsRussian Academy of Sciences
  • Alfio Quarteroni
    • Chair of Modelling and Scientific Computing (CMCS)École Polytechnique Fédérale de Lausanne (EPFL)
    • MOX, Dipartimento di Matematica “Francesco Brioschi”Politecnico di Milano
  • Gianluigi Rozza
    • Chair of Modelling and Scientific Computing (CMCS)École Polytechnique Fédérale de Lausanne (EPFL)
In Honor of David Gottlieb’s 60th Birthday

DOI: 10.1007/s10915-006-9077-9

Cite this article as:
Agoshkov, V., Quarteroni, A. & Rozza, G. J Sci Comput (2006) 28: 139. doi:10.1007/s10915-006-9077-9

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.

Keywords

Optimal controlshape optimizationsmall perturbation theoryfinite elementsunsteady Stokes equationshaemodynamicsaorto-coronaric bypass anastomosesdesign of improved medical devices

Copyright information

© Springer Science+Business Media, Inc. 2006