Numerical characterization of hemodynamics conditions near aortic valve after implantation of left ventricular assist device

Annalisa Quaini; Sunčica Čanić; David Paniagua

doi:10.3934/mbe.2011.8.785

Article Contents

2011, Volume 8, Issue 3: 785-806. Doi: 10.3934/mbe.2011.8.785

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Numerical characterization of hemodynamics conditions near aortic valve after implantation of left ventricular assist device

1.
Department of Mathematics, University of Houston 4800 Calhoun Rd, Houston (TX) 77204
2.
Department of Mathematics, University of Houston, 4800 Calhoun Rd, Houston, TX 77204
3.
Department of Cardiology, Texas Heart Institute at St. Lukes Episcopal Hospital, and Mickael E Debakey VA Medical Center, 2002 Holcombe Boulevard, Houston, TX 77030

Received: May 31, 2010

Revised: August 31, 2010

Published: May 2011

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Abstract

Left Ventricular Assist Devices (LVADs) are implantable mechanical pumps that temporarily aid the function of the left ventricle. The use of LVADs has been associated with thrombus formation next to the aortic valve and close to the anastomosis region, especially in patients in which the native cardiac function is negligible and the aortic valve remains closed. Stagnation points and recirculation zones have been implicated as the main fluid dynamics factors contributing to thrombus formation. The purpose of the present study was to develop and use computer simulations based on a fluid-structure interaction (FSI) solver to study flow conditions corresponding to different strategies in LVAD ascending aortic anastomosis providing a scenario with the lowest likelihood of thrombus formation. A novel FSI algorithm was developed to deal with the presence of multiple structures corresponding to different elastic properties of the native aorta and of the LVAD cannula. A sensitivity analysis of different variables was performed to assess their impact of flow conditions potentially leading to thrombus formation. It was found that the location of the anastomosis closest to the aortic valve (within 4 cm away from the valve) and at the angle of 30$^\circ$ minimizes the likelihood of thrombus formation. Furthermore, it was shown that the rigidity of the dacron anastomosis cannula plays almost no role in generating pathological conditions downstream from the anastomosis. Additionally, the flow analysis presented in this manuscript indicates that compliance of the cardiovascular tissue acts as a natural inhibitor of pathological flow conditions conducive to thrombus formation and should not be neglected in computer simulations.

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Mathematics Subject Classification: Primary: 65M60, 74F10, 76D05.

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