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Special Edition Submission: "3D Printing for Medicine: biomaterials, processes and techniques"

Vol. 2 No. 1 (2019): March-September

Fluid flow in a Porous Scaffold for Microtia by Lattice Boltzmann Method



The birth deformity of ear, known as microtia, varies from a minimal deformed ear to the absence of auricular tissue or anotia. This malformation has been treated by reconstructing the external ear, mainly by autogenous rib cartilage in auricular repair. The fabrication of the ear framework is a prolonged reconstructive procedure and depends of the surgeon’s skill. In order to avoid these inconveniences and reduce surgery time, it was proposed in a previous work to use implants made with biocompatible materials. One of these is a scaffold made by fused deposition modeling using PLA based in the three-dimensional geometry of the ear cartilage. The aim of this work is to evaluate the feasibility of this scaffold to perform cell culture in a perfusion biorreactor by estimating the flow transport characteristics in porous media using a scaffold with the porous geometry of the human auricular cartilage for microtia. Flow and heat transfer through the scaffold were simulated by the lattice Boltzmann method, and permeability and shear stress distribution were obtained at different Reynolds numbers. The permeability values of the scaffold achieved are in the order of magnitude of scaffolds used for cell culture. Linear dependencies between maximum shear stress and Reynolds number, and between maximum shear stress and permeability were obtained. The values of shear stress achieved correspond to high percentage of cell viability. The scaffolds for microtia treatment with the proposed filling pattern select is appropriate for cell culture in a perfusion bioreactor with characteristics similar to those described herein.


  1. Brent B. What is microtia? Microtia-Atresia, (2011).
  2. Aase JM, Tegtmeier RE. Microtia in New Mexico: Evidence for multifactorial causation. Birth Defects Orig Artic Ser 13: 113–6 (1977).
  3. Tanzer RC. Total Reconstruction of the External Ear. Plast Reconstr Surg Transplant Bull 23: 1–15 (1959).
  4. Tanzer RC. Microtia—a Long-Term Follow-Up of 44 Reconstructed Auricles. Plast Reconstr Surg 61: 161–166 (1978).
  5. Brent B. Auricular Repair with Autogenous Rib Cartilage Grafts: Two Decades of Experience with 600 Cases. Plast Reconstr Surg 90: 355–374 (1992
  6. Berroterán MV. Implantes de Microtia Fabricados con Manufactura Aditiva Usando Polímeros Biocompatibles e Hidrogeles Moldeados. Master Thesis. Universidad Simón Bolívar (2015).
  7. Porter B, Zauel R, Stockman H, Guldberg, R, Fyhrie, D. 3-D computational modeling of media flow through scaffolds in a perfusion bioreactor. J Biomech 38: 543–549 (2005).
  8. Cioffi M, Boschetti F, Raimondi MT, Dubini, G. Modeling evaluation of the fluid-dynamic microenvironment in tissue-engineered constructs: A micro-CT based model. Biotechnol Bioeng 93: 500–510 (2006).
  9. Cioffi M, Galbusera F, Raimondi MT, Dubini, G. Computational modelling of microfluidynamics in bioreactor-cultured cellular constructs. J Biomech 39: S225 (2006).
  10. Zeiser T, Bashoor-Zadeh M, Darabi A, Baroud G. Pore-scale analysis of Newtonian flow in the explicit geometry of vertebral trabecular bones using lattice Boltzmann simulation. Proc Inst Mech Eng Part H J Eng Med 222: 185–194 (2008).
  11. Voronov R, VanGordon S, Sikavitsas VI, Papavassiliou, DV. Computational modeling of flow-induced shear stresses within 3D salt-leached porous scaffolds imaged via micro-CT. J Biomech 43: 1279–1286 (2010).
  12. Pennella F, Cerino G, Massai D, Gallo D, Falvo D’Urso Labate G, Schiavi A, Deriu, MA, Audenino, A, and Morbiducci, UA. A Survey of Methods for the Evaluation of Tissue Engineering Scaffold Permeability. Ann Biomed Eng 41: 2027–2041 (2013).
  13. Pennella F, Gentile P, Deriu MA, Gallo, D, Schiavi, A, Ciardelli, G, Lorenz, E, Hoekstra, AG, Audenino, A, and Morbiducci, U. A Virtual Test Bench to Study Transport Phenomena in 3D Porous Scaffolds Using Lattice Boltzmann Simulations. SBC2013-14489. In: ASME 2013 Summer Bioengineering Conference, Sunriver, Oregon, p. V01AT07A020 (2013).
  14. Alam TA, Pham QL, Sikavitsas VI, Papavassiliou D V., Shambaugh RL, Voronov RS. Image-based modeling: A novel tool for realistic simulations of artificial bone cultures. Technology 04: 229–233 (2016).
  16. Boschetti F, Raimondi MT, Migliavacca F, Dubini, G. Prediction of the micro-fluid dynamic environment imposed to three-dimensional engineered cell systems in bioreactors. J Biomech 2006; 39: 418–425.
  17. Vossenberg, P, Higuera, GA, van Straten, G, van Blitterswijk, CA, van Boxtel, AJB. Darcian permeability constant as indicator for shear stresses in regular scaffold systems for tissue engineering. Biomech Model Mechanobiol 8: 499–507 (2009).
  18. Ali D, Ozalp M, Blanquer SBG, Onel, S. Permeability and fluid flow-induced wall shear stress in bone scaffolds with TPMS and lattice architectures: A CFD analysis. Eur J Mech - B/Fluids 79: 376–385 (2020).
  20. Malvè M, Bergstrom DJ, Chen XB. Modeling the flow and mass transport in a mechanically stimulated parametric porous scaffold under fluid-structure interaction approach. Int Commun Heat Mass Transf 96: 53–60 (2018).
  22. Hossain MS, Chen XB, Bergstrom DJ. Fluid flow and mass transfer over circular strands using the lattice Boltzmann method. Heat Mass Transf 51: 1493–1504 (2015).
  23. Ferroni M, Giusti S, Nascimento D, Silva A, Boschetti F, Ahluwalia A. Modeling the fluid-dynamics and oxygen consumption in a porous scaffold stimulated by cyclic squeeze pressure. Med Eng Phys 38: 725–732 (2016).
  24. Croughan MS, Wang DIC. Hydrodynamic Effects on Animal Cells in Microcarrier Bioreactors. Biotechnology 17:213-49 (1991).
  25. Liu J, Bi X, Chen T, Zhang, Q, Wang, SX, Chiu, JJ, Liu, GS, Zhang, Y, Bu, P, Jiang, F. Shear stress regulates endothelial cell autophagy via redox regulation and Sirt1 expression. Cell Death Dis 6: e1827–e1827 (2015).
  26. Hossain MS, Bergstrom DJ, Chen XB. A mathematical model and computational framework for three-dimensional chondrocyte cell growth in a porous tissue scaffold placed inside a bi-directional flow perfusion bioreactor. Biotechnol Bioeng 112: 2601–2610 (2015).
  27. Nair K, Gandhi M, Khalil S, Chang Yan, K, Marcolongo, M, Barbee, K. Characterization of cell viability during bioprinting processes. Biotechnol J; 4: 1168–1177 (2009).
  28. Schuerlein S, Schwarz T, Krziminski S, Gätzner, S, Hoppensack, A, Schwedhelm, I, Schweinlin, M, Walles, H, Hansmann, J. A versatile modular bioreactor platform for Tissue Engineering. Biotechnol J 12: 1600326 (2017).
  29. FlowKit Ltd. Palabos, CFD, complex physics. (2012). [accessed 16 October 2017].
  30. Wu L, Zhang H, Zhang J, Ding, J. Fabrication of Three-Dimensional Porous Scaffolds of Complicated Shape for Tissue Engineering. I. Compression Molding Based on Flexible–Rigid Combined Mold. Tissue Eng 11: 1105–1114 (2005).
  31. Sobral JM, Caridade SG, Sousa RA, Mano, J, Reis, R. Three-dimensional plotted scaffolds with controlled pore size gradients: Effect of scaffold geometry on mechanical performance and cell seeding efficiency. Acta Biomater 7: 1009–1018 (2011).
  32. Robert McNeel & Associates. Rhinoceros, modeling tool for designers, Software Package, Ver. 5 SR14 64-bit (5.14.522.8390, 22/5/2017). Seattle, WA (2017).
  33. Kurtz A. Intralattice, Generative Lattice Design with Grasshopper. McGill’s Additive Design & Manufacturing Laboratory (ADML). (2018) [accessed 26 October 2017].
  34. Liu Z, Wu H. Pore-scale modeling of immiscible two-phase flow in complex porous media. Appl Therm Eng 93: 1394–1402 (2016).
  36. Parmigiani A. Lattice Boltzmann calculations of reactive multiphase flows in porous media. Doctoral Thesis. Université de Genève. (2011).
  37. Bear J. Dynamics of Fluids in Porous Media. Dover, New York, pp 133 (1972).
  38. Salehi-Nik N, Amoabediny G, Pouran B, Tabesh, H, Shokrgozar, MA, Haghighipour, N, Khatibi, N, Anisi, F, Mottaghy, K, Zandieh-Doulabi, B. Engineering Parameters in Bioreactor’s Design: A Critical Aspect in Tissue Engineering. Biomed Res Int 2013: 1–15 (2013).


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