Numerical Modelling of Effective Diffusivity in Bone Tissue Engineering
These days, the field of tissue engineering is getting serious attention due to its usefulness. Bone tissue engineering helps to address and sort-out the critical sized and non-healing orthopedic problems by the creation of manmade bone tissue. We will design and validate an efficient numerical model, which will simulate the effective diffusivity in bone tissue engineering. Our numerical model will be based on the finite element analysis of the diffusion-reaction equations. It will have the ability to optimize the diffusivity, even at multi-scale, with the variation of time. It will also have a special feature “parametric sweep”, with which we will be able to predict the oxygen, glucose and cell density dynamics, more accurately. We will fix these problems by modifying the governing equations, by selecting appropriate spatio-temporal finite element schemes and by transient analysis.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1099460Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1885
 Khan, Y. et al. (2008) Tissue engineering of bone: material and matrix considerations. JBJS 90, 3642
 Darae Jeong, Ana Yun, Junseok Kim. Mathematical model and numerical simulation of the cell growth in scaffolds. Biomech Model Mechanobiol (2012) 11:677688, DOI 10.1007/s10237-011-0342-y
 Cao, H. and Kuboyama, N. (2010) A biodegradable porous composite scaffold of PGA/b-TCP for bone tissue engineering. Bone 46, 386395.
 Sanz-Herrera, Jose A., Manuel Doblar, and Jos M. Garca-Aznar. Modelling bone tissue engineering. Towards an understanding of the role of scaffold design parameters. Advances on Modeling in Tissue Engineering. Springer Netherlands, 2011. 71-90.
 Williams, D.F. (2008) On the mechanisms of biocompatibility. Biomaterials 29, 29412953.
 Olszta, M.J. et al. (2007) Bone structure and formation: A new perspective. Mater. Sci. Eng. R: Rep. 58, 77116.
 Woodard, J.R. et al. (2007) The mechanical properties and osteoconductivity of hydroxyapatite bone scaffolds with multi-scale porosity. Biomaterials 28, 4554.
 Geris, Liesbet, Alf Gerisch, and Richard C. Schugart. Mathematical modeling in wound healing, bone regeneration and tissue engineering. Acta biotheoretica 58.4 (2010): 355-367.
 Scaglione, S. et al. (2012) Order versus disorder: in vivo bone formation within steoconductive scaffolds. Sci. Rep. 2, Article no. 274.
 Bose, S. et al. (1999) Processing of controlled porosity ceramic structures via fused position. Scripta Mater. 41, 10091014.
 Darsell, J. et al. (2003) From CT scan to ceramic bone graft. J. Am.Ceram. Soc. 86, 10761080.
 Hutmacher, D.W. et al. (2004) Scaffold-based tissue engineering:rationale for computer-aided design and solid free-form fabrication systems. Trends Biotechnol. 22, 354362.
 Rezwan, K. et al. (2006) Biodegradable and bioactive porous polymer/ inorganic composite scaffolds for bone tissue engineering. Biomaterials 27, 34133431.
 Jones, J.R. et al. (2006) Optimising bioactive glass scaffolds for bone tissue engineering. Biomaterials 27, 964973.
 Miguel, B.S. et al. (2010) Enhanced osteoblastic activity and bone regeneration using surface-modified porous bioactive glass scaffolds. J. Biomed. Mater. Res. Part A 94A, 10231033.
 Lichte, P. et al. (2011) Scaffolds for bone healing: concepts, materials and evidence. Injury 42, 569573.
 Bose S, Roy M, Bandyopadhyay A. Recent advances in bone tissue engineering scaffolds. Trends in biotechnology 2012;30(10):546-554. doi:10.1016/j.tibtech.2012.07.005.
 Dabrowski, B. et al. (2010) Highly porous titanium scaffolds for orthopaedic applications. J. Biomed. Mater. Res. Part B: Appl. Biomater. 95B, 5361.
 Guide, COMSOL Multiphysics UserS. ”Comsol.” Inc.-2006.-708 p (1994).
 Sohail, Ayesha, Hafiz Abdul Wajid, and Mohammad Mehdi Rashidi. ”Numerical Modeling Of CapillaryGravity Waves Using The Phase Field Method.” Surface Review and Letters (2014).