Annals of Biomedical Engineering

, Volume 35, Issue 1, pp 1–18

Coupling of a 3D Finite Element Model of Cardiac Ventricular Mechanics to Lumped Systems Models of the Systemic and Pulmonic Circulation

  • Roy C. P. Kerckhoffs
  • Maxwell L. Neal
  • Quan Gu
  • James B. Bassingthwaighte
  • Jeff H. Omens
  • Andrew D. McCulloch
Article

DOI: 10.1007/s10439-006-9212-7

Cite this article as:
Kerckhoffs, R.C.P., Neal, M.L., Gu, Q. et al. Ann Biomed Eng (2007) 35: 1. doi:10.1007/s10439-006-9212-7

Abstract

In this study we present a novel, robust method to couple finite element (FE) models of cardiac mechanics to systems models of the circulation (CIRC), independent of cardiac phase. For each time step through a cardiac cycle, left and right ventricular pressures were calculated using ventricular compliances from the FE and CIRC models. These pressures served as boundary conditions in the FE and CIRC models. In succeeding steps, pressures were updated to minimize cavity volume error (FE minus CIRC volume) using Newton iterations. Coupling was achieved when a predefined criterion for the volume error was satisfied. Initial conditions for the multi-scale model were obtained by replacing the FE model with a varying elastance model, which takes into account direct ventricular interactions. Applying the coupling, a novel multi-scale model of the canine cardiovascular system was developed. Global hemodynamics and regional mechanics were calculated for multiple beats in two separate simulations with a left ventricular ischemic region and pulmonary artery constriction, respectively. After the interventions, global hemodynamics changed due to direct and indirect ventricular interactions, in agreement with previously published experimental results. The coupling method allows for simulations of multiple cardiac cycles for normal and pathophysiology, encompassing levels from cell to system.

Keywords

Multi-scale modelVentricular interactionsCardiovascularVentricular–vascular couplingPulmonary artery constrictionIschemia

Copyright information

© Biomedical Engineering Society 2006

Authors and Affiliations

  • Roy C. P. Kerckhoffs
    • 1
  • Maxwell L. Neal
    • 2
  • Quan Gu
    • 3
  • James B. Bassingthwaighte
    • 4
  • Jeff H. Omens
    • 1
    • 5
  • Andrew D. McCulloch
    • 1
  1. 1.Department of Bioengineering, The Whitaker Institute for Biomedical EngineeringUniversity of California, San DiegoLa JollaUSA
  2. 2.Department of Medical Education and Biomedical InformaticsUniversity of WashingtonSeattleUSA
  3. 3.Department of Structural EngineeringUniversity of California, San DiegoLa JollaUSA
  4. 4.Department of BioengineeringUniversity of WashingtonSeattleUSA
  5. 5.Department of MedicineUniversity of California, San DiegoLa JollaUSA