https://orcid.org/0000-0001-6962-2914
Abstract
The utilization of lattice-based scaffolds emerging as an advance technique over conventional bio-implants in Bone Tissue Engineering. In this study, totally six lattice structures are considered for permeability and wall shear stress (WSS) investigation. Namely triply periodic minimal surfaces (TPMS)-based Gyroid, Schwarz-P, Schwarz-D, and two beam-based structure—Cubic and Fluorite are compared with the proposed new lattice structure at porosity level of 80%, 75%, and 70%. The proposed new lattice has combine characteristic of Gyroid and Schwarz-D TPMS lattice. The permeability is determined through Darcy's law, where the pressure drop across the lattice structure is calculated using a computational fluid dynamics (CFD) tool at flowrate between 0.2 and 10 ml/min. The Cubic and Schwarz-P lattice structures exhibited the highest permeability but at the cost of a lower active surface area for WSS, measuring below 155 mm2, means least cell proliferation occurs while the permeability value in New Lattice structure is in the ideal range with the enhanced active surface area for WSS (514 mm2). The complex internal curvatures of New Lattice promote the cell proliferation while the through-pore holes allow the efficient cell seeding.
References
1.
Babalola
, O. M.
, and
Bonassar
, L. J.
, 2009
, “Parametric Finite Element Analysis of Physical Stimuli Resulting From Mechanical Stimulation of Tissue Engineered Cartilage
,” ASME J. Biomech. Eng.
, 131
(6
), p. 061014
.10.1115/1.31286722.
Almeida
, H. A.
, and
Bártolo
, P. J.
, 2012
, “Structural and Vascular Analysis of Tissue Engineering Scaffolds, Part 1: Numerical Fluid Analysis
,” Methods Mol. Biol.
, 868
, pp. 183
–207
.10.1007/978-1-61779-764-43.
Santamaría
, V. A. A.
,
Malvè
, M.
,
Duizabo
, A.
,
Mena Tobar
, A.
,
Gallego Ferrer
, G.
,
García Aznar
, J. M.
,
Doblaré
, M.
, and
Ochoa
, I.
, 2013
, “Computational Methodology to Determine Fluid Related Parameters of Non Regular Three-Dimensional Scaffolds
,” Ann. Biomed. Eng.
, 41
(11
), pp. 2367
–2380
.10.1007/s10439-013-0849-84.
Egan
, P. F.
,
Ferguson
, S. J.
, and
Shea
, K.
, 2017
, “Design of Hierarchical Three-Dimensional Printed Scaffolds Considering Mechanical and Biological Factors for Bone Tissue Engineering
,” ASME J. Mech. Des.
, 139
(6
), p. 061401
.10.1115/1.40363965.
Chen
, G.
,
Xu
, R.
,
Zhang
, C.
, and
Lv
, Y.
, 2017
, “Responses of MSCs to 3D Scaffold Matrix Mechanical Properties Under Oscillatory Perfusion Culture
,” ACS Appl. Mater. Interfaces
, 9
(2
), pp. 1207
–1218
.10.1021/acsami.6b107456.
Kumar, J., Nirala, N. S., Singh, N. K., Gupta, N., Dwivedi, Y. D., Verma, R., Rai, S. K., and Gupta, M., 2023, “Design, Development and Fluidic Behavior Analysis of Triply Periodic Minimal Surface (TPMS) Based Scaffolds for Bone-Applications,”
Int. J. Interact. Des. Manuf.
, 18, pp. 3077–3087.10.1007/s12008-023-01441-27.
Bartnikowski
, M.
,
Klein
, T. J.
,
Melchels
, F. P. W.
, and
Woodruff
, M. A.
, 2014
, “Effects of Scaffold Architecture on Mechanical Characteristics and Osteoblast Response to Static and Perfusion Bioreactor Cultures
,” Biotechnol. Bioeng.
, 111
(7
), pp. 1440
–1451
.10.1002/bit.252008.
Ali
, D.
,
Ozalp
, M.
,
Blanquer
, S. B. G.
, and
Onel
, S.
, 2020
, “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
, pp. 376
–385
.10.1016/j.euromechflu.2019.09.0159.
Lipowiecki
, M.
,
Ryvolová
, M.
,
Töttösi
, Á.
,
Kolmer
, N.
,
Naher
, S.
,
Brennan
, S. A.
,
Vázquez
, M.
, and
Brabazon
, D.
, 2014
, “Permeability of Rapid Prototyped Artificial Bone Scaffold Structures
,” J. Biomed. Mater. Res., Part A
, 102
(11
), pp. 4127
–4135
.10.1002/jbm.a.3508410.
Castro
, A. P. G.
,
Pires
, T.
,
Santos
, J. E.
,
Gouveia
, B. P.
, and
Fernandes
, P. R.
, 2019
, “Permeability Versus Design in TPMS Scaffolds
,” Materials (Basel, Switzerland)
, 12
(8
), p. 1313
.10.3390/ma1208131311.
Boccaccio
, A.
,
Uva
, A. E.
,
Fiorentino
, M.
,
Lamberti
, L.
, and
Monno
, G.
, 2016
, “A Mechanobiology-Based Algorithm to Optimize the Microstructure Geometry of Bone Tissue Scaffolds
,” Int. J. Biol. Sci.
, 12
(1
), pp. 1
–17
.10.7150/ijbs.1315812.
Mahmoud
, D.
, and
Elbestawi
, M. A.
, 2019
, “Selective Laser Melting of Porosity Graded Lattice Structures for Bone Implants
,” Int. J. Adv. Manuf. Technol.
, 100
(9–12
), pp. 2915
–2927
.10.1007/s00170-018-2886-913.
Oladapo
, B. I.
,
Kayode
, J. F.
,
Karagiannidis
, P.
,
Naveed
, N.
,
Mehrabi
, H.
, and
Ogundipe
, K. O.
, 2022
, “Polymeric Composites of Cubic-Octahedron and Gyroid Lattice for Biomimetic Dental Implants
,” Mater. Chem. Phys.
, 289
, p. 126454
.10.1016/j.matchemphys.2022.12645414.
Sharp
, R.
,
Pelletier
, M. H.
,
Walsh
, W. R.
,
Kelly
, C. N.
, and
Gall
, K.
, 2022
, “Corrosion Resistance of 3D Printed Ti6Al4V Gyroid Lattices With Varying Porosity
,” Materials
, 15
(14
), p. 4805
.10.3390/ma1514480515.
Zhang
, J.
,
Chen
, X.
,
Sun
, Y.
,
Yang
, J.
,
Chen
, R.
,
Xiong
, Y.
,
Hou
, W.
, and
Bai
, L.
, 2022
, “Design of a Biomimetic Graded TPMS Scaffold With Quantitatively Adjustable Pore Size
,” Mater. Des.
, 218
, p. 110665
.10.1016/j.matdes.2022.11066516.
Bobbert
, F. S. L.
,
Lietaert
, K.
,
Eftekhari
, A. A.
,
Pouran
, B.
,
Ahmadi
, S. M.
,
Weinans
, H.
, and
Zadpoor
, A. A.
, 2017
, “Additively Manufactured Metallic Porous Biomaterials Based on Minimal Surfaces: A Unique Combination of Topological, Mechanical, and Mass Transport Properties
,” Acta Biomater.
, 53
, pp. 572
–584
.10.1016/j.actbio.2017.02.02417.
Ali
, D.
, and
Sen
, S.
, 2017
, “Finite Element Analysis of Mechanical Behavior, Permeability and Fluid Induced Wall Shear Stress of High Porosity Scaffolds With Gyroid and Lattice-Based Architectures
,” J. Mech. Behav. Biomed. Mater.
, 75
, pp. 262
–270
.10.1016/j.jmbbm.2017.07.03518.
Uhrich
, K. E.
,
Cannizzaro
, S. M.
,
Langer
, R. S.
, and
Shakesheff
, K. M.
, 1999
, “Polymeric Systems for Controlled Drug Release
,” Chem. Rev.
, 99
(11
), pp. 3181
–3198
.10.1021/cr940351u19.
Buddy
, D. R.
,
Allan
, S. H.
,
Frederick
, J. S.
, and
Jack
, E. L.
, 2004
, “Biomaterials Science: An Introduction to Materials in Medicine - Buddy D. Ratner, Allan S. Hoffman, Frederick J. Schoen, Jack E. Lemons - Google Books
,” accessed Sept. 30, 2023, https://books.google.co.in/books?hl=en&lr=&id=9PMU1iYGe34C&oi=fnd&pg=PR5&dq=%5BRatner,+Buddy+D,+et+al.+Biomaterials+science:+an+introduction+to+materials+in+medicine.+ Elsevier%5D.+&ots=goZcqgfxHu&sig=d1esorHXgQN_XGfOtM6FbL4h97o& redir_esc=y#v=onepage&q=%5BRatner%2C%20Buddy%20D.%2C%20et%20al.%20Biomaterials%20science%3A%20an%20introduction%20to%20materials%20in%20medicine.%20Elsevier%2C%202004.%5D.&f=false20.
Zerner
, M.
, 2011
, “Aux Origines de La Loi de Darcy (1856)
,” Vol. 20
, pp. 29
–40
, accessed Feb. 22, 2022, http://journals.openedition.org/dht21.
Bear
, J.
, 2023
, “Dynamics of Fluids in Porous Media - Jacob Bear - Google Books
,” accessed Dec. 19, 2023, https://books.google.co.in/books?hl=en&lr=&id=fBMeVSZ_3u8C&oi=fnd&pg=PP1&dq=Bear,+J.+(1972).+Dynamics+of+fluids+in+porous+media.+New+York:+Dover+Publications.&ots=miayslVIDF&sig=J7OsGC6frlpHT9nWGQx8JbOLgqM&redir_ esc=y#v=onepage&q&f=false22.
Scheidegger
, A. E.
, 1957
, The Physics of Flow Through Porous Media
, 3rd ed., University of Toronto Press
, Toronto, ON, Canada.23.
Dias
, M. R.
,
Fernandes
, P. R.
,
Guedes
, J. M.
, and
Hollister
, S. J.
, 2012
, “Permeability Analysis of Scaffolds for Bone Tissue Engineering
,” J. Biomech.
, 45
(6
), pp. 938
–944
.10.1016/j.jbiomech.2012.01.01924.
Pires
, T.
,
Santos
, J.
,
Ruben
, R. B.
,
Gouveia
, B. P.
,
Castro
, A. P. G.
, and
Fernandes
, P. R.
, 2021
, “Numerical-Experimental Analysis of the Permeability-Porosity Relationship in Triply Periodic Minimal Surfaces Scaffolds
,” J. Biomech.
, 117
, p. 110263
.10.1016/j.jbiomech.2021.11026325.
Olivares
, A. L.
,
Marsal
, È.
,
Planell
, J. A.
, and
Lacroix
, D.
, 2009
, “Finite Element Study of Scaffold Architecture Design and Culture Conditions for Tissue Engineering
,” Biomaterials
, 30
(30
), pp. 6142
–6149
.10.1016/j.biomaterials.2009.07.04126.
Reich
, K. M.
, and
Frangos
, J. A.
, 1991
, “Effect of Flow on Prostaglandin E2 and Inositol Trisphosphate Levels in Osteoblasts
,” Am. J. Physiol.
, 261
(3
), pp. C428
–C432
.10.1152/ajpcell.1991.261.3.C42827.
Klein‐Nulend
, J.
,
Van Der Plas
, A.
,
Semeins
, C. M.
,
Ajubi
, N. E.
,
Erangos
, J. A.
,
Nijweide
, P. J.
, and
Burger
, E. H.
, 1995
, “Sensitivity of Osteocytes to Biomechanical Stress In Vitro
,” FASEB J.
, 9
(5
), pp. 441
–445
.10.1096/fasebj.9.5.789601728.
Cowin
, S. C.
, 2002
, “Mechanosensation and Fluid Transport in Living Bone
,” J. Musculoskelet. Neuronal Interact.
, 2
(3
), pp. 256
–260
.https://www.ismni.org/jmni/pdf/7/Cowin.pdf29.
Li
, D.
,
Tang
, T.
,
Lu
, J.
, and
Dai
, K.
, 2009
, “Effects of Flow Shear Stress and Mass Transport on the Construction of a Large-Scale Tissue-Engineered Bone in a Perfusion Bioreactor
,” Tissue Eng. Part A
, 15
(10
), pp. 2773
–2783
.10.1089/ten.tea.2008.054030.
Zhao
, F.
,
Lacroix
, D.
,
Ito
, K.
,
van Rietbergen
, B.
, and
Hofmann
, S.
, 2020
, “Changes in Scaffold Porosity During Bone Tissue Engineering in Perfusion Bioreactors Considerably Affect Cellular Mechanical Stimulation for Mineralization
,” Bone Rep.
, 12
, p. 100265
.10.1016/j.bonr.2020.10026531.
Timercan
, A.
,
Sheremetyev
, V.
, and
Brailovski
, V.
, 2021
, “Mechanical Properties and Fluid Permeability of Gyroid and Diamond Lattice Structures for Intervertebral Devices: Functional Requirements and Comparative Analysis
,” Sci. Technol. Adv. Mater.
, 22
(1
), pp. 285
–300
.10.1080/14686996.2021.190722232.
Lee
, K. W.
,
Wang
, S.
,
Lu
, L.
,
Jabbari
, E.
,
Currier
, B. L.
, and
Yaszemski
, M. J.
, 2006
, “Fabrication and Characterization of Poly(Propylene Fumarate) Scaffolds With Controlled Pore Structures Using 3-Dimensional Printing and Injection Molding
,” Tissue Eng.
, 12
(10
), pp. 2801
–2811
.10.1089/ten.2006.12.280133.
Sarparast
, Z.
,
Abdoli
, R.
,
Rahbari
, A.
,
Varmazyar
, M.
, and
Kashyzadeh
, K. R.
, 2020
, “Experimental and Numerical Analysis of Permeability in Porous Media
,” Int. J. Eng.
, 33
(11
), pp. 2408
–2415
.10.5829/ije.2020.33.11b.3134.
Baroud
, G.
,
Falk
, R.
,
Crookshank
, M.
,
Sponagel
, S.
, and
Steffen
, T.
, 2004
, “Experimental and Theoretical Investigation of Directional Permeability of Human Vertebral Cancellous Bone for Cement Infiltration
,” J. Biomech.
, 37
(2
), pp. 189
–196
.10.1016/S0021-9290(03)00246-X35.
Engel
, N.
,
Fechner
, C.
,
Voges
, A.
,
Ott
, R.
,
Stenzel
, J.
,
Siewert
, S.
,
Bergner
, C.
,
Khaimov
, V.
,
Liese
, J.
,
Schmitz
, K. P.
,
Krause
, B. J.
, and
Frerich
, B.
, 2021
, “An Optimized 3D-Printed Perfusion Bioreactor for Homogeneous Cell Seeding in Bone Substitute Scaffolds for Future Chairside Applications
,” Sci. Rep.
, 11
(1
), p. 22228
.10.1038/s41598-021-01516-836.
Gabetti
, S.
,
Masante
, B.
,
Cochis
, A.
,
Putame
, G.
,
Sanginario
, A.
,
Armando
, I.
,
Fiume
, E.
,
Scalia
, A. C.
,
Daou
, F.
, et al., 2022
, “An Automated 3D-Printed Perfusion Bioreactor Combinable With Pulsed Electromagnetic Field Stimulators for Bone Tissue Investigations
,” Sci. Rep.
, 12
(1
), p. 13859
.10.1038/s41598-022-18075-137.
Zhao
, F.
,
van Rietbergen
, B.
,
Ito
, K.
, and
Hofmann
, S.
, 2020
, “Fluid Flow-Induced Cell Stimulation in Bone Tissue Engineering Changes Due to Interstitial Tissue Formation In Vitro
,” Int. J. Numer. Methods Biomed. Eng.
, 36
(6
), p. e3342
.10.1002/cnm.334238.
Truscello
, S.
,
Kerckhofs
, G.
,
Van Bael
, S.
,
Pyka
, G.
,
Schrooten
, J.
, and
Van Oosterwyck
, H.
, 2012
, “Prediction of Permeability of Regular Scaffolds for Skeletal Tissue Engineering: A Combined Computational and Experimental Study
,” Acta Biomater.
, 8
(4
), pp. 1648
–1658
.10.1016/j.actbio.2011.12.02139.
Egger
, D.
,
Fischer
, M.
,
Clementi
, A.
,
Ribitsch
, V.
,
Hansmann
, J.
, and
Kasper
, C.
, 2017
, “Development and Characterization of a Parallelizable Perfusion Bioreactor for 3D Cell Culture
,” Bioengineering
, 4
(2
), p. 51
.10.3390/bioengineering402005140.
Zhao
, F.
,
van Rietbergen
, B.
,
Ito
, K.
, and
Hofmann
, S.
, 2018
, “Flow Rates in Perfusion Bioreactors to Maximise Mineralisation in Bone Tissue Engineering In Vitro
,” J. Biomech.
, 79
, pp. 232
–237
.10.1016/j.jbiomech.2018.08.00441.
Panek
, M.
,
Antunović
, M.
,
Pribolšan
, L.
,
Ivković
, A.
,
Gotić
, M.
,
Vukasović
, A.
,
Mihalić
, K. C.
,
Pušić
, M.
,
Jurkin
, T.
, and
Marijanović
, I.
, 2019
, “Bone Tissue Engineering in a Perfusion Bioreactor Using Dexamethasone-Loaded Peptide Hydrogel
,” Materials
, 12
(6
), p. 919
.10.3390/ma1206091942.
Beşkardeş
, I. G.
,
Aydın
, G.
,
Bektaş
, Ş.
,
Cengiz
, A.
, and
Gümüşderelioğlu
, M.
, 2018
, “A Systematic Study for Optimal Cell Seeding and Culture Conditions in a Perfusion Mode Bone-Tissue Bioreactor
,” Biochem. Eng. J.
, 132
, pp. 100
–111
.10.1016/j.bej.2018.01.00643.
Abstract
, G.
, 2017
, “Flow Dynamics and HSPC Homing Bone Marrow Microvessels
,” Cell Rep.
, 18
(7
), pp. 1804
–1816
.10.1016/j.celrep.2017.01.04244.
Kohles
, S. S.
,
Roberts
, J. B.
,
Upton
, M. L.
,
Wilson
, C. G.
,
Bonassar
, L. J.
, and
Schlichting
, A. L.
, 2001
, “Direct Perfusion Measurements of Cancellous Bone Anisotropic Permeability
,” J. Biomech.
, 34
(9
), pp. 1197
–1202
.10.1016/S0021-9290(01)00082-345.
Lim
, T. H.
, and
Hong
, J. H.
, 2000
, “Poroelastic Properties of Bovine Vertebral Trabecular Bone
,” J. Orthopaedic Res.
, 18
(4
), pp. 671
–677
.10.1002/jor.110018042146.
Nauman
, E. A.
,
Fong
, K. E.
, and
Keaveny
, T. M.
, 1999
, “Dependence of Intertrabecular Permeability on Flow Direction and Anatomic Site
,” Ann. Biomed. Eng.
, 27
(4
), pp. 517
–524
.10.1114/1.19547.
Gabetti
, S.
,
Masante
, B.
,
Schiavi
, A.
,
Scatena
, E.
,
Zenobi
, E.
,
Israel
, S.
,
Sanginario
, A.
,
Del Gaudio
, C.
,
Audenino
, A.
, et al., 2024
, “Adaptable Test Bench for ASTM-Compliant Permeability Measurement of Porous Scaffolds for Tissue Engineering
,” Sci. Rep.
, 14
(1
), p. 1722
.10.1038/s41598-024-52159-448.
Zhang
, X.
,
Tiainen
, H.
, and
Haugen
, H. J.
, 2019
, “Comparison of Titanium Dioxide Scaffold With Commercial Bone Graft Materials Through Micro-Finite Element Modelling in Flow Perfusion
,” Med. Biol. Eng. Comput.
, 57
(1
), pp. 311
–324
.10.1007/s11517-018-1884-2
