Biomechanics and Modeling in Mechanobiology

, Volume 13, Issue 6, pp 1303–1330 | Cite as

Blood flow distribution in an anatomically detailed arterial network model: criteria and algorithms

  • Pablo J. BlancoEmail author
  • Sansuke M. Watanabe
  • Enzo A. Dari
  • Marco Aurélio R. F. Passos
  • Raúl A. Feijóo
Original Paper


Development of blood flow distribution criteria is a mandatory step toward developing computational models and numerical simulations of the systemic circulation. In the present work, we (i) present a systematic approach based on anatomical and physiological considerations to distribute the blood flow in a 1D anatomically detailed model of the arterial network and (ii) develop a numerical procedure to calibrate resistive parameters in terminal models in order to effectively satisfy such flow distribution. For the first goal, we merge data collected from the specialized medical literature with anatomical concepts such as vascular territories to determine blood flow supply to specific (encephalon, kidneys, etc.) and distributed (muscles, skin, etc.) organs. Overall, 28 entities representing the main specific organs are accounted for in the detailed description of the arterial topology that we use as model substrate. In turn, 116 vascular territories are considered as the basic blocks that compose the distributed organs throughout the whole body. For the second goal, Windkessel models are used to represent the peripheral beds, and the values of the resistive parameters are computed applying a Newton method to a parameter identification problem to guarantee the supply of the correct flow fraction to each terminal location according to the given criteria. Finally, it is shown that, by means of the criteria developed, and for a rather standard set of model parameters, the model predicts physiologically realistic pressure and flow waveforms.


Computational hemodynamics Anatomy Vascular territories Arterial circulation Parameter identification 



This work was partially supported by the Brazilian agencies CNPq and FAPERJ. The support of these agencies is gratefully acknowledged.


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© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Pablo J. Blanco
    • 1
    • 2
    Email author
  • Sansuke M. Watanabe
    • 1
    • 2
    • 3
  • Enzo A. Dari
    • 4
  • Marco Aurélio R. F. Passos
    • 5
    • 6
  • Raúl A. Feijóo
    • 1
    • 2
  1. 1.National Laboratory for Scientific ComputingLNCC/MCTIPetrópolisBrazil
  2. 2.National Institute of Science and Technology in Medicine Assisted by Scientific ComputingINCT-MACCPetrópolisBrazil
  3. 3.Federal Rural University of PernambucoUFRPEBoa VistaBrazil
  4. 4.Centro Atómico BarilocheCNEA/CONICETBarilocheArgentina
  5. 5.Department of AnatomyState University of Rio de Janeiro, UERJRio de JaneiroBrazil
  6. 6.Department of AnatomyMedical School of PetrópolisPetrópolisBrazil

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