Mathematics

A fast computational framework is devised to the study of
several configurations of patient-specific coronary artery bypass
grafts. This is especially useful to perform a sensitivity
analysis of the haemodynamics for different flow conditions
occurring in native coronary arteries and bypass grafts, the
investigation of the progression of the coronary artery disease and the choice of the most appropriate surgical procedure.
A complete pipeline, from the acquisition of patientspecific
medical images to fast parametrized computational
simulations, is proposed. Complex surgical configurations
employed in the clinical practice, such as Y-grafts and sequential
grafts, are studied. A virtual surgery platform based
on model reduction of unsteady Navier Stokes equations for
blood dynamics is proposed to carry out sensitivity analyses
in a very rapid and reliable way. A specialized geometrical
parametrization is employed to compare the effect of stenosis
and anastomosis variation on the outcome of the surgery
in several relevant cases.