Annals of Biomedical Engineering

, Volume 35, Issue 4, pp 546–559

Morphometry-Based Impedance Boundary Conditions for Patient-Specific Modeling of Blood Flow in Pulmonary Arteries

  • Ryan L. Spilker
  • Jeffrey A. Feinstein
  • David W. Parker
  • V. Mohan Reddy
  • Charles A. Taylor
Article

DOI: 10.1007/s10439-006-9240-3

Cite this article as:
Spilker, R.L., Feinstein, J.A., Parker, D.W. et al. Ann Biomed Eng (2007) 35: 546. doi:10.1007/s10439-006-9240-3

Abstract

Patient-specific computational models could aid in planning interventions to relieve pulmonary arterial stenoses common in many forms of congenital heart disease. We describe a new approach to simulate blood flow in subject-specific models of the pulmonary arteries that consists of a numerical model of the proximal pulmonary arteries created from three-dimensional medical imaging data with terminal impedance boundary conditions derived from linear wave propagation theory applied to morphometric models of distal vessels. A tuning method, employing numerical solution methods for nonlinear systems of equations, was developed to modify the distal vasculature to match measured pressure and flow distribution data. One-dimensional blood flow equations were solved with a finite element method in image-based pulmonary arterial models using prescribed inlet flow and morphometry-based impedance at the outlets. Application of these methods in a pilot study of the effect of removal of unilateral pulmonary arterial stenosis induced in a pig showed good agreement with experimental measurements for flow redistribution and main pulmonary arterial pressure. Next, these methods were applied to a patient with repaired tetralogy of Fallot and predicted insignificant hemodynamic improvement with relief of the stenosis. This method of coupling image-based and morphometry-based models could enable increased fidelity in pulmonary hemodynamic simulation.

Keywords

Hemodynamics One-dimensional Finite element method Congenital heart disease Simulation-based treatment planning 

Copyright information

© Biomedical Engineering Society 2007

Authors and Affiliations

  • Ryan L. Spilker
    • 1
  • Jeffrey A. Feinstein
    • 2
  • David W. Parker
    • 1
  • V. Mohan Reddy
    • 3
  • Charles A. Taylor
    • 1
    • 2
    • 4
    • 5
  1. 1.Department of Mechanical EngineeringStanford UniversityStanfordUSA
  2. 2.Department of PediatricsStanford UniversityStanfordUSA
  3. 3.Department of Cardiothoracic SurgeryStanford UniversityStanfordUSA
  4. 4.Department of BioengineeringStanford UniversityStanfordUSA
  5. 5.Department of SurgeryStanford UniversityStanfordUSA