Bone and Bones/physiology; Computer Simulation; Computer-Aided Design; Hydrodynamics; Lasers; Linear Models; Microscopy, Electron, Scanning; Permeability; Porosity; Pressure; Tissue Engineering/methods; Tissue Scaffolds/chemistry; Titanium/chemistry; Water; X-Ray Microtomography
Abstract :
[en] Scaffold permeability is a key parameter combining geometrical features such as pore shape, size and interconnectivity, porosity and specific surface area. It can influence the success of bone tissue engineering scaffolds, by affecting oxygen and nutrient transport, cell seeding efficiency, in vitro three-dimensional (3D) cell culture and, ultimately, the amount of bone formation. An accurate and efficient prediction of scaffold permeability would be highly useful as part of a scaffold design process. The aim of this study was (i) to determine the accuracy of computational fluid dynamics (CFD) models for prediction of the permeability coefficient of three different regular Ti6Al4V scaffolds (each having a different porosity) by comparison with experimentally measured values and (ii) to verify the validity of the semi-empirical Kozeny equation to calculate the permeability analytically. To do so, five CFD geometrical models per scaffold porosity were built, based on different geometrical inputs: either based on the scaffold's computer-aided design (CAD) or derived from 3D microfocus X-ray computed tomography (micro-CT) data of the additive manufactured (AM) scaffolds. For the latter the influence of the spatial image resolution and the image analysis algorithm used to determine the scaffold's architectural features on the predicted permeability was analysed. CFD models based on high-resolution micro-CT images could predict the permeability coefficients of the studied scaffolds: depending on scaffold porosity and image analysis algorithm, relative differences between measured and predicted permeability values were between 2% and 27%. Finally, the analytical Kozeny equation was found to be valid. A linear correlation between the ratio Phi(3)/S(s)(2) and the permeability coefficient k was found for the predicted (by means of CFD) as well as measured values (relative difference of 16.4% between respective Kozeny coefficients), thus resulting in accurate and efficient calculation of the permeability of regular AM scaffolds.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Truscello, S.
Kerckhofs, Greet ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Génie biomécanique
Van Bael, S.
Pyka, G.
Schrooten, J.
Van Oosterwyck, H.
Language :
English
Title :
Prediction of permeability of regular scaffolds for skeletal tissue engineering: a combined computational and experimental study.
Publication date :
2012
Journal title :
Acta Biomaterialia
ISSN :
1742-7061
eISSN :
1878-7568
Publisher :
Elsevier, Netherlands
Volume :
8
Issue :
4
Pages :
1648-58
Peer reviewed :
Peer Reviewed verified by ORBi
Commentary :
Copyright A(c) 2011 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
R. Cancedda, P. Giannoni, and M. Mastrogiacomo A tissue engineering approach to bone repair in large animal models and in clinical practice Biomaterials 28 2007 4240 4250 (Pubitemid 47212405)
J.R. Porter, T.T. Ruckh, and K.C. Popat Bone tissue engineering: a review in bone biomimetics and drug delivery strategies Biotechnol Prog 25 2009 1539
D.W. Hutmacher, J.T. Schantz, C.X.F. Lam, K.C. Tan, and T.C. Lim State of the art and future directions of scaffold-based bone engineering from a biomaterials perspective J Tissue Eng Regen Med 1 2007 245 260
G. Akay, M.A. Birch, and M.A. Bokharib Microcellular polyHIPE polymer supports osteoblast growth and bone formation in vitro Biomaterials 25 2004 3991 4000 (Pubitemid 38388565)
J.E. Dennis, S.E. Haynesworth, R.G. Young, and A.I. Caplan Osteogenesis in marrow-derived mesenchymal cell porous ceramic composites transplanted subcutaneously: effect of fibronectin and laminin on cell retention and rate of osteogenic expression Cell Transplant 1 1992 23 32
F.J. O'Brien, B.A. Harley, I.V. Yannas, and L.J. Gibson The effect of pore size on cell adhesion in collagen-GAG scaffolds Biomaterials 26 4 2005 433 441 (Pubitemid 38951110)
S. Li, J.R. De Wijn, J. Li, P. Layrolle, and K. De Groot Macroporous biphasic calcium phosphate scaffold with high permeability/porosity ratio Tissue Eng 9 2003 535 548 (Pubitemid 36740496)
E.A. Botchwey, M.A. Dupree, S.R. Pollack, E.M. Levine, and C.T. Laurencin Tissue engineered bone: measurement of nutrient transport in three-dimensional matrices J Biomed Mater Res 67A 2003 357 367 (Pubitemid 37517186)
S. Impens, Y. Chen, S. Mullens, F. Luyten, and J. Schrooten Controlled cell-seeding methodologies: a first step toward clinically relevant bone tissue engineering strategies Tissue Eng C 16 2010 1575 1583
C.G. Jeong, and S.J. Hollister Mechanical, permeability, and degradation properties of 3D designed poly(1, 8 octanediol-co-citrate) scaffolds for soft tissue engineering J Biomed Mater Res B Appl Biomat 93 2010 141 149
P.W. Hui, P.C. Leung, and A. Sher Fluid conductance of cancellous bone graft as a predictor for graft-host interface healing J Biomech 29 1 1996 123 132 (Pubitemid 26009412)
R. Singh, P.D. Lee, T.C. Lindley, R.J. Dashwood, E. Ferrie, and T. Imwinkelried Characterization of the structure and permeability of titanium foams for spinal fusion devices Acta Biomater 5 2009 477 487
H. Darcy Les Fontaines Publiques de la Ville de Dijon 1856 Delmont Paris
K.R. Arora Soil mechanics and foundation engineering. (geotechnical 7th engineering) edition 2009 Standard Publishers Distributors Delhi
I. Ochoa, J.A. Sanz-Herrera, J.M. García-Aznar, M. Doblaré, D.M. Yunos, and A.R. Boccaccini Ceramic TiO2-foams: characterisation of a potential scaffold J Eur Ceram Soc 24 2003 661 668
S.S. Kohles, J.B. Roberts, M.L. Upton, C.G. Wilson, L.J. Bonassar, and A.L. Schlichting Direct perfusion measurements of cancellous bone anisotropic permeability J Biomech 34 2001 1197 1202 (Pubitemid 32744669)
C.G. Jeong, H. Zhang, and S.J. Hollister Three-dimensional poly(1, 8-octanediol-co-citrate) scaffold pore shape and permeability effects on sub-cutaneous in vivo chondrogenesis using primary chondrocytes Acta Biomater 7 2001 505 514
M.D.M. Innocentini, V.R. Salvini, A. Macedo, and V.C. Pandolfelli Prediction of ceramic foams permeability using Ergun's equation Mater Res 2 1999 283 289
J.A. Sanz-Herrera, J.M. Garcia-Aznar, and M. Doblare On scaffold designing for bone regeneration: a computational multiscale approach Acta Biomater 5 2009 219 229
S.J. Hollister, and C.Y. Lin Computational design of tissue engineering scaffolds Comput Method Appl Mech Eng 196 2007 2991 2998 (Pubitemid 46722280)
P.G. Coelho, P.R. Fernandes, and H.C. Rodrigues Multiscale modeling of bone tissue with surface and permeability control J Biomech 44 2010 321 329
P.C. Carman Flow of gases through porous media 1956 Academic Press New York
B. Yu Analysis of flow in fractal porous media Appl Mech Rev 61 2008 5081 5100
D.W. Taylor Fundamentals of soil mechanics 1948 John Wiley New York
K.W. Lee, S. Wang, L. Lu, E. Jabbari, B.L. Currier, and M.J. Yaszemski Fabrication and characterization of poly(propylene fumarate) scaffolds with controlled pore structures using 3-dimensional printing and injection molding Tissue Eng 12 2006 2801 2811 (Pubitemid 46141248)
T. Van Cleynenbreugel, J. Schrooten, H. Van Oosterwyck, and J. Vander Sloten Micro-CT-based screening of biomechanical and structural properties of bone tissue engineering scaffolds Med Bio Eng Comput 44 2006 517 525 (Pubitemid 44184463)
S. De Boodt, S. Truscello, S.E. Ozcan, T. Leroy, H. Van Oosterwyck, and D. Berckmans Bimodular flow characterisation in tissue engineering scaffolds using computational fluid dynamics and particle imaging velocimetry Tissue Eng C 16 2010 1553 1564
A.S.P. Lin, T.H. Barrows, S.H. Cartmell, and R.E. Guldberg Microarchitectural and mechanical characterization of oriented porous polymer scaffolds Biomaterials 24 2003 481 489 (Pubitemid 35287519)
S.T. Ho, and D.W. Hutmacher A comparison of micro CT with other techniques used in the characterization of scaffolds Biomaterials 27 2006 1362 1376 (Pubitemid 41739562)
J.R. Jonesa, G. Poologasundarampillaia, R.C. Atwooda, D. Bernardb, and P.D. Leea Non-destructive quantitative 3D analysis for the optimisation of tissue scaffolds Biomaterials 28 2007 1404 1413
S. Van Bael, G. Kerckhofs, M. Moesen, G. Pyka, J. Schrooten, and J.-P. Kruth Micro-CTbased improvement of geometrical and mechanical controllability of selective laser melted Ti6Al4V porous structures Material Sci Eng 528 2011 7423 7431
G. Kerckhofs, J. Schrooten, T. Van Cleynenbreugel, S. Lomov, and M. Wevers Validation of X-ray microfocus computed tomography as an imaging tool for porous structures Rev Sci Instrum 79 2008 013711-1 013711-9
T. Hildebrand, and P. Rüegsegger A new method for the model-independent assessment of thickness in three-dimensional images J Microsc Oxford 185 1997 67 75 (Pubitemid 27060526)
M. Ding, A. Odgaard, and I. Hvid Accuracy of cancellous bone volume fraction measured by micro-ct scanning J Biomech 32 1999 323 326 (Pubitemid 29125457)
A.M. Sahimi Flow and transport in porous media and fractured rock 1995 VCH Boston
R. Muller, B. Koller, T. Hildebrand, A. Laib, S. Gianolini, and P. Ruegsegger Resolution dependency of microstructural properties of cancellous bone based on threedimensional mu-tomography Technol Health Care 4 1996 113 119 (Pubitemid 27062335)
F. Peyrin, M. Salome, P. Cloetens, A.M. Laval-Jeantet, E. Ritman, and P. Ruegsegger Micro-CT examinations of trabecular bone samples at different resolutions: 14, 7 and 2 micron level Technol Health Care 6 1996 391 401 (Pubitemid 29090461)
D.M.L. Cooper, J.R. Matyas, M.A. Katzenberg, and B. Hallgrimsson Comparison of Microcomputed Tomographic and Microradiographic Measurements of Cortical Bone Porosity Calcif Tissue Int 74 2004 437 447 (Pubitemid 38623630)
Truscello S, Schrooten J, Van Oosterwyck H. A computational tool for the upscaling of regular scaffolds during in vitro perfusion culture. Tissue Eng Part C Method 2011;17:619-30.
F. Maes, P. Van Ransbeeck, H. Van Oosterwyck, and P. Verdonck Modeling fluid flow through irregular scaffolds for perfusion bioreactors Biotechnol Bioeng 103 2009 621 630
E.A. Nauman, K.E. Fong, and T.M. Keaveny Dependence of intertrabecular permeability on flow direction and anatomic site Annal Biomed Eng 27 1999 517 524 (Pubitemid 129585006)
