Skip to main content

Advertisement

SpringerLink
Log in

Numerical modelling of shear and normal stress of micro-porous ceramics for stimulated in-vitro cultivation of bone cells

  • Research Paper
  • Published:
Microfluidics and Nanofluidics Aims and scope Submit manuscript

Abstract

Tissue engineering is a multidisciplinary job and has been of great challenge to scientist since its emerge in the 1980s. Special problems arise in this science, since bone cells are usually growing inside humans under moderate cyclic mechanical loadings (0.66–1.5 MPa); it is expected to grow them in a similar background. An innovative contribution is made where the shear stress is modelled inside in micro-channels reporting the various important design considerations of scaffolds, providing a more appropriate understanding of geometry change versus shear stress and Darcy’s Reynolds number in micro-channels. The geometry of the scaffolds was captured by analysing and processing batches of images with edge detection techniques which mainly works on the colour contrasts. A novel edge detection algorithm which spots the colour change by means of gradient calculations was successful to scan the Micro-CT (computer tomography) images and gather a binary file for the 3-D scaffolds of 430 sections for a 3 mm. The 3-D Lattice Boltzmann was successful in modelling the transport phenomena and reporting the shear stress distribution in straight micro-channels and in the complicated micro-scaffolds. An analogical study is as well made between the realistic stresses expected in humans and the simulated ones, reporting different discussion aspects to bring the designed structures to a more realistic stage. Using micro-porous scaffolds have proven much more realistic in imitating the human bone shear load conditions (0.1 MPa) with at least two orders of magnitude closer (5.3 × 10−4 MPa) than previously published results (1.09 × 10 Pa). Further study should be done to realise closer shear loads to measured data in humans.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig.  6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  • Ateshian GA, Hung CT, et al (2003) Functional properties of native articular cartilage in Guilak. Functional Tissue Engineering. NY, Springer: 46–68

  • Bancroft GN, Sikavitsas VN et al (2002) Fluid flow increases mineralized matrix deposition in 3D perfusion culture of marrow stromal osteoblasts in a dose-dependent manner. Proceed Natl Acad Sci USA 99:12600–12605

    Article  Google Scholar 

  • Braccini A, Wendt D et al (2005) Three-dimensional perfusion culture of human bone marrow cells and generation of osteoinductive grafts. J Stem Cells 23:1066–1072

    Article  Google Scholar 

  • Cowin SS (2001) Handbook of bone mechanics. CRC Press

  • D’Lima DD, Patil S et al (2006) Tibial forces measured in vivo after total knee arthroplasty. J Arthroplast 21(2):255–262

    Article  Google Scholar 

  • Gatzka C, Knothe U, Niederer P, Schneider E, Knothe Tate ML (1999) A novel ex vivo model for investigation of fluid displacements in bone after endoprosthesis implantation. J Mater Sci Mater Med 10:801–806

    Article  Google Scholar 

  • Grayson WL, Bhumiratana S, et al (2007) Increased perfusion rate and cell seeding density enhance tissue engineering of human bone. 53rd Annual Meeting of the Orthopaedic Research Society, San Diego, CA, 11–14

  • Higuera FJ, Jimenz J (1989) Boltzmann approach to lattice gas simulations. Europhys Lett 9:663–668

    Article  Google Scholar 

  • Hill NM, Horne JG, Devane PA (1999) Donor site morbidity in the iliac crest bone graft. Aust N Z J surg 69(10):726–728

    Article  Google Scholar 

  • Holtorf HL, Sheffield TL, et al (2005) Flow perfusion culture of marrow stromal cells seeded on porous biphasic calcium phosphate ceramics. Ann Biomed Eng (33):1238–1248

  • Hussein, MA, et al (2006) On the Validation of a 2-D Laminar Flow Solver Using Lattice Boltzmann Method, Proceedings of the 8th International Congress on Fluid Dynamics and Propulsion, ASME, Sharm el Sheikh, ICFDP8-EG,200

  • Hussein MA, Esterl S et al (2008a) Impulse and mass transport in a cartilage bioreactor using the Lattice Boltzmann method. Int J Comput Fluid Dyn 22(5):341–350

    Article  Google Scholar 

  • Hussein MA, Esterl S et al (2008b) On the Lattice Boltzmann method simulation of a two phase flow bioreactor for artificially grown cartilage cells. J Biomech 41(16):3455–3461

    Article  Google Scholar 

  • Iarovici A, Capitanu L, et al (2004) The total hip arthroplasty effects on the mechanical behaviour of the femur. Annual Symposium of Solid Mechanics

  • Ishaug SL, Crane GM et al (1997a) Bone formation by three-dimensional stromal osteoblast culture in biodegradable polymer scaffolds. J Biomed Mater Res 36:17–28

    Article  Google Scholar 

  • Ishaug SL, Crane GM, et al (1997) Bone formation by three-dimensional stromal osteoblast culture in biodegradable polymer scaffolds. J Biomed Mater Res (36):17–28

  • Kasper C, Suck K, et al (2007) A Newly Developed Rotating Bed Bioreactor for Bone Tissue Engineering. Top Tissue Eng, 3

  • Keóelman JMVA (1991) A simple lattice Boltzmann scheme for Navier–Stokes fluid flow. Europhys Lett 15:603–607

    Article  Google Scholar 

  • Knothe T, Niederer P, Knothe U (1998) In vivo tracer transport through the lacunocanalicular system of rat bone in an environment devoid of mechanical loading. Bone 22(2):107–117

    Article  Google Scholar 

  • Mcnamara G, Zanetti G (1988) Use of the Boltzmann equation to simulate lattice-gas automata. Phys Rev Lett 61:2332–2335

    Article  Google Scholar 

  • MediLexicon International Ltd., 2009 <www.medicalnewstoday.com>. Accessed 2 Jan 2009

  • Mei RW, Yu DZ, Shyy W, Luo LS (2002) Force evaluation in the lattice Boltzmann method involving curved geometry. Phys Rev E 65 (4)

  • Moaty AA, Hussein MA, Becker T (2009) An innovative Lattice Boltzmann model for simulating Michaelis Menten based diffusion-advection-kinetics and its application within a cartilage cell bioreactor. J Biomech Model Mechanobiol. doi: 10.1007/s10237-009-0164-3

  • Munting E, Verhelpen M (1993) Mechanical simulator for the upper femur. Acta Orthropedicae Belgica 59(2):123–129

    Google Scholar 

  • Petrović M, Mitraković D et al (2009) A novel bioreactor with mechanical stimulation for skeletal tissue engineering. J Chem Ind Chem Eng Q 15(1):41–44

    Article  Google Scholar 

  • Sarah H, Cartmell et al (2003) Effects of media perfusion rate on cell seeded 3D bone constructs in vitro. Tissue Eng 9(6):1197–1203

    Article  Google Scholar 

  • Seiler JG, Johnson J (2000) Iliac crest autogenous bone grafting: donor site complications. J South Orthop Assoc 9:91–97

    Google Scholar 

  • Sikavitsas VI, Bancroft GN, et al (2003) Mineralized matrix deposition by marrow stromal osteoblasts in 3D perfusion culture increases with increasing fluid shear forces. Proc Natl Acad Sci USA (100) 14683–14688

  • Tadrous PJ (1995) A simple and sensitive method for directional edge detection in noisy images. J Pattern Recognit 28(10):1575–1586

    Article  Google Scholar 

  • Turgut A, Yemez Y, et al (1996) Differential block coding of bilevel images. IEE Trans Image Proces, 5(9):1368–1370

    Google Scholar 

  • Xiaojun Yu, Edward A, et al (2004) Bioreactor-based bone tissue engineering: The influence of dynamic flow on osteoblast phenotypic expression and matrix mineralization. PNAS (101), 31:11203–11208

  • Yuan H, Kurashina K et al (1999) A preliminary study on osteoinduction of two kinds of calcium phosphate ceramics. Biomaterials 20:1799–1806

    Article  Google Scholar 

  • Yuasa T, Miyamoto Y et al (2001) In vitro resorption of three apatite cements with osteoclasts. J Biomed Mater Res 54:344–350

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Group of (Bio)-ProcessTechnology and Process Analysis, Life Science Engineering Department, Technischen Universität München, Weihenstephaner Steig 20, 85354, Freising, Germany

    M. A. Hussein & T. Becker

Authors
  1. M. A. Hussein
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Becker
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. A. Hussein.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hussein, M.A., Becker, T. Numerical modelling of shear and normal stress of micro-porous ceramics for stimulated in-vitro cultivation of bone cells. Microfluid Nanofluid 8, 665–675 (2010). https://doi.org/10.1007/s10404-009-0499-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10404-009-0499-1

Keywords

Search

Navigation