On Coupling a Lumped Parameter Heart Model and a Three-Dimensional Finite Element Aorta Model

Authors

H. J. Kim, Stanford University
Irene E. Vignon-Clementel, INRIA Paris-Rocquencourt
C. A. Figueroa, Stanford University
John F. LaDisa, Marquette UniversityFollow
K. E. Jansen, Rensselaer Polytechnic Institute
Jeffrey A. Feinstein, Stanford UniversityFollow
Charles A. Taylor, Stanford University

Document Type

Article

Language

eng

Format of Original

17 p.

Publication Date

11-2009

Publisher

Springer

Source Publication

Annals of Biomedical Engineering

Source ISSN

0090-6964

Original Item ID

doi: 10.1007/s10439-009-9760-8

Abstract

Aortic flow and pressure result from the interactions between the heart and arterial system. In this work, we considered these interactions by utilizing a lumped parameter heart model as an inflow boundary condition for three-dimensional finite element simulations of aortic blood flow and vessel wall dynamics. The ventricular pressure–volume behavior of the lumped parameter heart model is approximated using a time varying elastance function scaled from a normalized elastance function. When the aortic valve is open, the coupled multidomain method is used to strongly couple the lumped parameter heart model and three-dimensional arterial models and compute ventricular volume, ventricular pressure, aortic flow, and aortic pressure. The shape of the velocity profiles of the inlet boundary and the outlet boundaries that experience retrograde flow are constrained to achieve a robust algorithm. When the aortic valve is closed, the inflow boundary condition is switched to a zero velocity Dirichlet condition. With this method, we obtain physiologically realistic aortic flow and pressure waveforms. We demonstrate this method in a patient-specific model of a normal human thoracic aorta under rest and exercise conditions and an aortic coarctation model under pre- and post-interventions.

Comments

Accepted version. Annals of Biomedical Engineering, Vol. 37, No. 11 (November 2009): 2153-2169. DOI. © 2009 Springer. Used with permission.

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Recommended Citation

Kim, H. J.; Vignon-Clementel, Irene E.; Figueroa, C. A.; LaDisa, John F.; Jansen, K. E.; Feinstein, Jeffrey A.; and Taylor, Charles A., "On Coupling a Lumped Parameter Heart Model and a Three-Dimensional Finite Element Aorta Model" (2009). Biomedical Engineering Faculty Research and Publications. 220.
https://epublications.marquette.edu/bioengin_fac/220