Modeling of Time Dependent Localized Flow Shear Stress and Its Impact on Cellular Growth Within Additive Manufactured Titanium Implants

Overview

Journal J Biomed Mater Res B Appl Biomater

Specialty Biomedical Engineering

Date 2014 Mar 26

PMID 24664988

Citations 8

Authors

Ziyu Zhang

Lang Yuan

Peter D Lee

Eric Jones

Julian R Jones

Affiliations

Soon will be listed here.

Abstract

Bone augmentation implants are porous to allow cellular growth, bone formation and fixation. However, the design of the pores is currently based on simple empirical rules, such as minimum pore and interconnects sizes. We present a three-dimensional (3D) transient model of cellular growth based on the Navier-Stokes equations that simulates the body fluid flow and stimulation of bone precursor cellular growth, attachment, and proliferation as a function of local flow shear stress. The model's effectiveness is demonstrated for two additive manufactured (AM) titanium scaffold architectures. The results demonstrate that there is a complex interaction of flow rate and strut architecture, resulting in partially randomized structures having a preferential impact on stimulating cell migration in 3D porous structures for higher flow rates. This novel result demonstrates the potential new insights that can be gained via the modeling tool developed, and how the model can be used to perform what-if simulations to design AM structures to specific functional requirements.

Citing Articles

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References

Lesman A, Blinder Y, Levenberg S . Modeling of flow-induced shear stress applied on 3D cellular scaffolds: Implications for vascular tissue engineering. Biotechnol Bioeng. 2009; 105(3):645-54. DOI: 10.1002/bit.22555. View

Singh R, Lee P, Lindley T, Kohlhauser C, Hellmich C, Bram M . Characterization of the deformation behavior of intermediate porosity interconnected Ti foams using micro-computed tomography and direct finite element modeling. Acta Biomater. 2009; 6(6):2342-51. DOI: 10.1016/j.actbio.2009.11.032. View

Raimondi M, Causin P, Mara A, Nava M, Lagana M, Sacco R . Breakthroughs in computational modeling of cartilage regeneration in perfused bioreactors. IEEE Trans Biomed Eng. 2011; 58(12):3496-9. DOI: 10.1109/TBME.2011.2163405. View

Sikavitsas V, Bancroft G, Holtorf H, Jansen J, Mikos A . Mineralized matrix deposition by marrow stromal osteoblasts in 3D perfusion culture increases with increasing fluid shear forces. Proc Natl Acad Sci U S A. 2003; 100(25):14683-8. PMC: 299759. DOI: 10.1073/pnas.2434367100. View

Liu D, Chua C, Leong K . A mathematical model for fluid shear-sensitive 3D tissue construct development. Biomech Model Mechanobiol. 2012; 12(1):19-31. DOI: 10.1007/s10237-012-0378-7. View

Boccaccini A, Kneser U, Arkudas A . Scaffolds for vascularized bone regeneration: advances and challenges. Expert Rev Med Devices. 2012; 9(5):457-60. DOI: 10.1586/erd.12.49. View

Jones J, Lee P, Hench L . Hierarchical porous materials for tissue engineering. Philos Trans A Math Phys Eng Sci. 2008; 364(1838):263-81. DOI: 10.1098/rsta.2005.1689. View

Freed L, Marquis J, Langer R, Vunjak-Novakovic G . Kinetics of chondrocyte growth in cell-polymer implants. Biotechnol Bioeng. 1994; 43(7):597-604. DOI: 10.1002/bit.260430709. View

Raimondi M, Boschetti F, Falcone L, Migliavacca F, Remuzzi A, Dubini G . The effect of media perfusion on three-dimensional cultures of human chondrocytes: integration of experimental and computational approaches. Biorheology. 2004; 41(3-4):401-10. View

10.

Reich K, Frangos J . Effect of flow on prostaglandin E2 and inositol trisphosphate levels in osteoblasts. Am J Physiol. 1991; 261(3 Pt 1):C428-32. DOI: 10.1152/ajpcell.1991.261.3.C428. View

11.

Mullen L, Stamp R, Fox P, Jones E, Ngo C, Sutcliffe C . Selective laser melting: a unit cell approach for the manufacture of porous, titanium, bone in-growth constructs, suitable for orthopedic applications. II. Randomized structures. J Biomed Mater Res B Appl Biomater. 2009; 92(1):178-88. DOI: 10.1002/jbm.b.31504. View

12.

Raimondi M, Boschetti F, Falcone L, Fiore G, Remuzzi A, Marinoni E . Mechanobiology of engineered cartilage cultured under a quantified fluid-dynamic environment. Biomech Model Mechanobiol. 2003; 1(1):69-82. DOI: 10.1007/s10237-002-0007-y. View

13.

Porter B, Zauel R, Stockman H, Guldberg R, Fyhrie D . 3-D computational modeling of media flow through scaffolds in a perfusion bioreactor. J Biomech. 2005; 38(3):543-9. DOI: 10.1016/j.jbiomech.2004.04.011. View

14.

Engh C, Bobyn J, Glassman A . Porous-coated hip replacement. The factors governing bone ingrowth, stress shielding, and clinical results. J Bone Joint Surg Br. 1987; 69(1):45-55. DOI: 10.1302/0301-620X.69B1.3818732. View

15.

Yue S, Lee P, Poologasundarampillai G, Jones J . Evaluation of 3-D bioactive glass scaffolds dissolution in a perfusion flow system with X-ray microtomography. Acta Biomater. 2011; 7(6):2637-43. DOI: 10.1016/j.actbio.2011.02.009. View

16.

Raimondi M, Moretti M, Cioffi M, Giordano C, Boschetti F, Lagana K . The effect of hydrodynamic shear on 3D engineered chondrocyte systems subject to direct perfusion. Biorheology. 2006; 43(3,4):215-22. View

17.

Cioffi M, Kuffer J, Strobel S, Dubini G, Martin I, Wendt D . Computational evaluation of oxygen and shear stress distributions in 3D perfusion culture systems: macro-scale and micro-structured models. J Biomech. 2008; 41(14):2918-25. DOI: 10.1016/j.jbiomech.2008.07.023. View

18.

Chung C, Chen C, Chen C, Tseng C . Enhancement of cell growth in tissue-engineering constructs under direct perfusion: Modeling and simulation. Biotechnol Bioeng. 2007; 97(6):1603-16. DOI: 10.1002/bit.21378. View

19.

Weinbaum S, Cowin S, Zeng Y . A model for the excitation of osteocytes by mechanical loading-induced bone fluid shear stresses. J Biomech. 1994; 27(3):339-60. DOI: 10.1016/0021-9290(94)90010-8. View

20.

Johnson D, McAllister T, Frangos J . Fluid flow stimulates rapid and continuous release of nitric oxide in osteoblasts. Am J Physiol. 1996; 271(1 Pt 1):E205-8. DOI: 10.1152/ajpendo.1996.271.1.E205. View