Generating STL for forming trabecular bone structure in additive manufacturing using cell dynamics modeling
ROCHA Adones A., THIRÉ Rossana M.S.M., ARAUJO Anna-Carla
download PDFAbstract. There are two types of structures in bone with different densities: cortical bone, a denser region, and trabecular bone, a porous part. Poly(lactic acid) – PLA, a biopolymer widely used in additive manufacturing (AM), can be applied for fabricate products for medical and dental applications since it is biodegradable and biocompatible to several mammalian cell lines. This article proposes a methodology for generating STL to produce by AM a structure with geometry similar to that of trabecular bone using a mathematical model that describes the population dynamics of bone cells. Bone density values obtained by solving the differential equations model with finite differences are used to develop a mesh surface. This surface is converted into a binarized mesh using a binary algorithm and, finally, the STL file is obtained by applying the multidimensional arrays tool from Matlab® software. The produced file is analyzed by BoneJ® using the same procedure currently applied for bone tomography to obtain some geometry parameters as trabecular thickness, trabecular separation, bone fraction and connectivity; and the degree of anisotropy. 3D Printed samples were successfully produced by Fused Filament Fabrication (FFF) using PLA filament. It was noticed that the produced structure is similar to the morphology of the trabecular part of the femoral head, comparing the different strategies of obtain STL and real bone tomography.
Keywords
Additive Manufacturing, FFF, Biopolymers, STL Generation, Trabecular Bone
Published online 4/19/2023, 10 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: ROCHA Adones A., THIRÉ Rossana M.S.M., ARAUJO Anna-Carla, Generating STL for forming trabecular bone structure in additive manufacturing using cell dynamics modeling, Materials Research Proceedings, Vol. 28, pp 169-178, 2023
DOI: https://doi.org/10.21741/9781644902479-19
The article was published as article 19 of the book Material Forming
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] S.V. Komarova, R.J. Smith, S.J. Dixon, S.M. Sims, L.M. Wahl, Mathematical model predicts a critical role for osteoclast autocrine regulation in the control of bone remodeling, Bone. 33 (2003) 206-215. https://doi.org/10.1016/S8756-3282(03)00157-1
[2] R. Florencio-Silva, G.R. da S. Sasso, E. Sasso-Cerri, M.J. Simões, P.S. Cerri, Biology of Bone Tissue: Structure, Function, and Factors That Influence Bone Cells, Biomed. Res. Int. 2015 (2015) 1-17. https://doi.org/10.1155/2015/421746
[3] M.N. Collins, G. Ren, K. Young, S. Pina, R.L. Reis, J.M. Oliveira, Scaffold Fabrication Technologies and Structure/Function Properties in Bone Tissue Engineering, Adv. Funct. Mater. 31 (2021) 2010609. https://doi.org/10.1002/adfm.202010609
[4] Z. Wood, L. Lynn, J.T. Nguyen, M.A. Black, M. Patel, M.M. Barak, Are we crying Wolff? 3D printed replicas of trabecular bone structure demonstrate higher stiffness and strength during off-axis loading, Bone. 127 (2019) 635-645. https://doi.org/10.1016/j.bone.2019.08.002
[5] C. Boyle, I.Y. Kim, Three-dimensional micro-level computational study of Wolff’s law via trabecular bone remodeling in the human proximal femur using design space topology optimization, J Biomech. 44 (2011) 935-942. https://doi.org/10.1016/j.jbiomech.2010.11.029
[6] B.P. Ayati, C.M. Edwards, G.F. Webb, J.P. Wikswo, A mathematical model of bone remodeling dynamics for normal bone cell populations and myeloma bone disease, Biol. Direct. 5 (2010) 1-17. https://doi.org/10.1186/1745-6150-5-28
[7] D. Valério, J. Neto, S. Vinga, Variable order 3D models of bone remodelling, Bulletin of the Polish Academy of Sciences: Technical Sciences. 67 (2019) 501-508. https://doi.org/10.24425/bpasts.2019.129649
[8] M.M.A. Peyroteo, J. Belinha, L.M.J.S. Dinis, R.M.N. Jorge, Bone remodeling: an improved spatiotemporal mathematical model, Arch. Appl. Mech. 90 (2020) 635-649. https://doi.org/10.1007/s00419-019-01631-z
[9] I. Fernández-Cervantes, M.A. Morales, R. Agustín-Serrano, M. Cardenas-García, P.V. Pérez-Luna, B.L. Arroyo-Reyes, A. Maldonado-García, Polylactic acid/sodium alginate/hydroxyapatite composite scaffolds with trabecular tissue morphology designed by a bone remodeling model using 3D printing, J. Mater. Sci. 54 (2019) 9478-9496. https://doi.org/10.1007/s10853-019-03537-1
[10] M. McGregor, S. Patel, S. McLachlin, Mihaela Vlasea, Architectural bone parameters and the relationship to titanium lattice design for powder bed fusion additive manufacturing, Addit. Manuf. 47 (2021) 102273. https://doi.org/10.1016/j.addma.2021.102273
[11] L. Steiner, A. Synek, D.H. Pahr, Comparison of different microCT-based morphology assessment tools using human trabecular bone, Bone Rep. 12 (2020) 100261. https://doi.org/10.1016/j.bonr.2020.100261
[12] S.C. Ligon, R. Liska, J. Stampfl, M. Gurr, R. Mülhaupt, Polymers for 3D Printing and Customized Additive Manufacturing, Chem. Rev. 117 (2017) 10212-10290. https://doi.org/10.1021/acs.chemrev.7b00074
[13] J.F. Charles, A.O. Aliprantis, Osteoclasts: More than “bone eaters,” Trends Mol. Med. 20 (2014) 449-459. https://doi.org/10.1016/j.molmed.2014.06.001
[14] R. Detsch, A.R. Boccaccini, The role of osteoclasts in bone tissue engineering, J. Tissue Eng. Regen. Med. 9 (2015) 1133–1149. https://doi.org/10.1002/term.1851
[15] R. Domander, A.A. Felder, M. Doube, BoneJ2 – refactoring established research software, Wellcome Open Res. 6 (2021) 37. https://doi.org/10.12688/wellcomeopenres.16619.2
[16] B.N. Teixeira, P. Aprile, R.H. Mendonça, D.J. Kelly, R.M. da S.M. Thiré, Evaluation of bone marrow stem cell response to PLA scaffolds manufactured by 3D printing and coated with polydopamine and type I collagen, J. Biomed. Mater. Res. B Appl. Biomater. 107 (2019) 37-49. https://doi.org/10.1002/jbm.b.34093
[17] H.B. Pan, Z.Y. Li, W.M. Lam, J.C. Wong, B.W. Darvell, K.D.K. Luk, W.W. Lu, Solubility of strontium-substituted apatite by solid titration, Acta Biomater. 5 (2009) 1678-1685. https://doi.org/10.1016/j.actbio.2008.11.032