Numerical Simulation of Bio-Chemical Diffusion in Bone Scaffolds

Authors: Masoud Madadelahi, Amir Shamloo, Seyedeh Sara Salehi

Abstract:

Previously, some materials like solid metals and their alloys have been used as implants in human’s body. In order to amend fixation of these artificial hard human tissues, some porous structures have been introduced. In this way, tissues in vicinity of the porous structure can be attached more easily to the inserted implant. In particular, the porous bone scaffolds are useful since they can deliver important biomolecules like growth factors and proteins. This study focuses on the properties of the degradable porous hard tissues using a three-dimensional numerical Finite Element Method (FEM). The most important studied properties of these structures are diffusivity flux and concentration of different species like glucose, oxygen, and lactate. The process of cells migration into the scaffold is considered as a diffusion process, and related parameters are studied for different values of production/consumption rates.

Keywords: Bone scaffolds, diffusivity, numerical simulation, tissue engineering.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1130195

References:

[1] Tadic, D. and M. Epple, A thorough physicochemical characterisation of 14 calcium phosphate-based bone substitution materials in comparison to natural bone. Biomaterials, 2004. 25(6): p. 987-994.
[2] Lei, Y., et al., Strontium hydroxyapatite/chitosan nanohybrid scaffolds with enhanced osteoinductivity for bone tissue engineering. Materials Science and Engineering: C, 2017. 72: p. 134-142.
[3] Leukers, B., et al., Hydroxyapatite scaffolds for bone tissue engineering made by 3D printing. Journal of Materials Science: Materials in Medicine, 2005. 16(12): p. 1121-1124.
[4] Ostrowska, B., et al., Influence of internal pore architecture on biological and mechanical properties of three‐dimensional fiber deposited scaffolds for bone regeneration. Journal of Biomedical Materials Research Part A, 2016.
[5] Chang, B., et al., Influence of pore size of porous titanium fabricated by vacuum diffusion bonding of titanium meshes on cell penetration and bone ingrowth. Acta biomaterialia, 2016. 33: p. 311-321.
[6] Wintermantel, E., et al., Tissue engineering scaffolds using superstructures. Biomaterials, 1996. 17(2): p. 83-91.
[7] Mikos, A.G., et al., Laminated three-dimensional biodegradable foams for use in tissue engineering. Biomaterials, 1993. 14(5): p. 323-330.
[8] Kang, H.-W., Y. Tabata, and Y. Ikada, Fabrication of porous gelatin scaffolds for tissue engineering. Biomaterials, 1999. 20(14): p. 1339-1344.
[9] Sohail, A., et al., Numerical Modelling of Effective Diffusivity in Bone Tissue Engineering. World Academy of Science, Engineering and Technology, International Journal of Medical, Health, Biomedical, Bioengineering and Pharmaceutical Engineering, 2015. 9(1): p. 82-86.
[10] Sélard, É., A. Shirazi-Adl, and J.P. Urban, Finite element study of nutrient diffusion in the human intervertebral disc. Spine, 2003. 28(17): p. 1945-1953.
[11] Sanz-Herrera, J., J. Garcia-Aznar, and M. Doblare, A mathematical model for bone tissue regeneration inside a specific type of scaffold. Biomechanics and modeling in mechanobiology, 2008. 7(5): p. 355-366.
[12] Bird, R.B., W.E. Stewart, and E.N. Lightfoot, Transport Phenomena John Wiley & Sons. New York, 1960: p. 413.
[13] Saad, Y., Iterative methods for sparse linear systems. 2003: Siam.