Journal of Biomechanics
Volume 38, Issue 5 , Pages 1129-1141 , May 2005

Multiscale modeling of the cardiovascular system: application to the study of pulmonary and coronary perfusions in the univentricular circulation

  • Katia Laganà

      Affiliations

    • Laboratory of Biological Structure Mechanics, Bioengineering Department, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133, Milan, Italy
    • ,
  • Rossella Balossino

      Affiliations

    • Laboratory of Biological Structure Mechanics, Bioengineering Department, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133, Milan, Italy
    • ,
  • Francesco Migliavacca

      Affiliations

    • Laboratory of Biological Structure Mechanics, Bioengineering Department, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133, Milan, Italy
    • Corresponding Author InformationCorresponding author. Tel.: +39-02-2399-4283; fax: +39-02-2399-4286
    • ,
  • Giancarlo Pennati

      Affiliations

    • Laboratory of Biological Structure Mechanics, Bioengineering Department, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133, Milan, Italy
    • ,
  • Edward L. Bove

      Affiliations

    • Section of Cardiac Surgery, The University of Michigan School of Medicine, Ann Arbor, MI, USA
    • ,
  • Marc R. de Leval

      Affiliations

    • Cardiothoracic Unit, Great Ormond Street Hospital for Children NHS Trust, London, UK
    • ,
  • Gabriele Dubini

      Affiliations

    • Laboratory of Biological Structure Mechanics, Structural Engineering Department, Politecnico di Milano, Milan, Italy

,Accepted 12 May 2004.

References 

  1. Barnea O, Santamore WP, Rossi A, Salloum E, Chien S, Austin EH. Estimation of oxygen delivery in newborns with a univentricular circulation. Circulation. 1998;98:1407–1413
  2. Bove EL. Current status of staged reconstruction for hypoplastic left heart syndrome. Pediatric Cardiology. 1998;19:308–315
  3. DeGroff CG, Shandas R, Kwon J, Valdes-Cruz L. Accuracy of the Bernoulli equation for estimation of pressure gradient across stenotic Blalock–Taussig shunts (an in vitro and numerical study). Pediatric Cardiology. 2000;21:439–447
  4. El Bouhmadi A, Boulot P, Laffargue F, Brun JF. Rheological properties of fetal red cells with special reference to aggregability and disaggregability analyzed by light transmission and laser backscattering techniques. Clinical Hemorheology and Microcirculation. 2000;22:79–90
  5. Fogel MA, Rychik J, Vetter J, Donofrio MT, Jacobs M. Effect of volume unloading surgery on coronary flow dynamics in patients with aortic atresia. Journal of Thoracic and Cardiovascular Surgery. 1997;113:718–726
  6. Jouppila P, Kirkinen P, Puukka R. Correlation between umbilical vein blood flow and umbilical blood viscosity in normal and complicated pregnancies. Archives of Gynecology. 1986;237:191–197
  7. Kilner PJ, Yang GZ, Mohiaddin RH, Firmin DN, Longmore DB. Helical and retrograde secondary flow patterns in the aortic arch studied by three-directional magnetic resonance velocity mapping. Circulation. 1993;88(5 Pt 1):2235–2247
  8. Kitagawa T, Katoh I, Fukumura Y, Masuda Y, Hori T. Achieving optimal pulmonary blood flow in the first-stage palliation in early infancy for complex cardiac defects with hypoplastic left ventricles. Cardiology in the Young. 1995;5:21–27
  9. Laganà K, Dubini G, Migliavacca F, Pietrabissa R, Pennati G, Veneziani A, et al. Multiscale modelling as a tool to prescribe realistic boundary conditions for the study of surgical procedures. Biorheology. 2002;39:359–364
  10. Mantero S, Pietrabissa R, Fumero R. The coronary bed and its role in the cardiovascular system (a review and an introductory single-branch model). Journal of Biomedical Engineering. 1992;14:109–116
  11. Migliavacca F, Yates R, Pennati G, Dubini G, Fumero R, de Leval MR. Calculating blood flow from Doppler measurements in the systemic-to-pulmonary artery shunt after the Norwood operation (a method based on computational fluid dynamics). Ultrasound in Medicine and Biology. 2000;26:209–219
  12. Migliavacca F, Dubini G, Pennati G, Pietrabissa R, Fumero R, Hsia T-Y, et al. Computational model of the fluid dynamics in systemic-to-pulmonary shunts. Journal of Biomechanics. 2000;33:549–557
  13. Migliavacca F, Pennati G, Dubini G, Fumero R, Pietrabissa R, Urcelay G, et al. Modeling of the Norwood circulation (effects of shunt size, vascular resistances, and heart rate). American Journal of Physioliology Heart Circulation Physiology. 2001;280:H2076–H2086
  14. Norwood WI. Hypoplastic left heart syndrome. Annals of Thoracic Surgery. 1991;52:688–695
  15. Pennati G, Fumero R. Scaling approach to study the changes through the gestation of human fetal cardiac and circulatory behaviors. Annals of Biomedical Engineering. 2000;28:442–452
  16. Pennati G, Bellotti M, Fumero R. Mathematical modelling of the human fetal cardiovascular system based on Doppler ultrasound data. Medical Engineering & Physics. 1997;19:327–335
  17. Pennati G, Migliavacca F, Dubini G, Pietrabissa R, de Leval MR. A mathematical model of circulation in the presence of the bidirectional cavopulmonary anastomosis in children with a univentricular heart. Medical Engineering & Physics. 1997;19:223–234
  18. Pennati G, Fiore GB, Migliavacca F, Laganà K, Fumero R, Dubini G. In vitro steady-flow analysis of systemic-to-pulmonary shunt haemodynamics. Journal of Biomechanics. 2001;34:23–30
  19. Quarteroni A, Veneziani A. Analysis of a geometrical multiscale model based on the coupling of PDE's and ODE's for Blood Flow Simulations. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal. 2003;1:173–195
  20. Quarteroni A, Ragni S, Veneziani A. Coupling between lumped and distributed models for blood flow problems. Computing and Visual Science. 2001;4:111–124
  21. Rychik J, Bush DM, Spray TL, Gaynor JW, Wernovsky G. Assessment of pulmonary/systemic blood flow ratio after first-stage palliation for hypoplastic left heart syndrome (development of a new index with the use of doppler echocardiography). Journal of Thoracic and Cardiovascular Surgery. 2000;120:81–87
  22. Tacy TA, Whitehead KK, Cape EG. In vitro Doppler assessment of pressure gradients across modified Blalock–Taussig shunts. American Journal of Cardiology. 1998;81:1219–1223

PII: S0021-9290(04)00262-3

doi: 10.1016/j.jbiomech.2004.05.027

Journal of Biomechanics
Volume 38, Issue 5 , Pages 1129-1141 , May 2005

Article Tools

* Image Usage & Resolution