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

Microfluidics and Nanofluidics

Volumn 8, Issue 5, 2010, Pages 665-675

  Hussein, M A ^a   Becker, T ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Lattice Boltzmann method; Micro fluidics; Tissue engineering

Indexed keywords

CELLS; COMPUTERIZED TOMOGRAPHY; CULTIVATION; EDGE DETECTION; FLUIDICS; REYNOLDS NUMBER; TISSUE; TISSUE ENGINEERING;

CYCLIC MECHANICAL LOADING; DESIGN CONSIDERATIONS; EDGE DETECTION ALGORITHMS; GRADIENT CALCULATIONS; LATTICE BOLTZMANN METHOD; ORDERS OF MAGNITUDE; STRAIGHT MICROCHANNELS; TRANSPORT PHENOMENA;

SHEAR STRESS;

EID: 77954759697     PISSN: 16134982     EISSN: 16134990     Source Type: Journal    
DOI: 10.1007/s10404-009-0499-1     Document Type: Article

References (32)

1. Ateshian GA, Hung CT, et al (2003) Functional properties of native articular cartilage in Guilak. Functional Tissue Engineering. NY, Springer: 46-68
2. 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
3. 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
4. Cowin SS (2001) Handbook of bone mechanics. CRC Press
5. D'Lima DD, Patil S et al (2006) Tibial forces measured in vivo after total knee arthroplasty. J Arthroplast 21(2):255-262
6. 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
7. 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
8. Higuera FJ, Jimenz J (1989) Boltzmann approach to lattice gas simulations. Europhys Lett 9:663-668
9. 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
10. 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
11. 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
12. 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
13. 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
14. Iarovici A, Capitanu L, et al (2004) The total hip arthroplasty effects on the mechanical behaviour of the femur. Annual Symposium of Solid Mechanics
15. Ishaug SL, Crane GM et al (1997a) Bone formation by threedimensional stromal osteoblast culture in biodegradable polymer scaffolds. J Biomed Mater Res 36:17-28
16. Kasper C, Suck K, et al (2007) A Newly Developed Rotating Bed Bioreactor for Bone Tissue Engineering. Top Tissue Eng, 3
17. Keóelman J M V A (1991) A simple lattice Boltzmann scheme for Navier-Stokes fluid flow. Europhys Lett 15:603-607
18. 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
19. Mcnamara G, Zanetti G (1988) Use of the Boltzmann equation to simulate lattice-gas automata. Phys Rev Lett 61:2332-2335
20. MediLexicon International Ltd., 2009 . Accessed 2 Jan 2009
21. Mei RW, Yu DZ, Shyy W, Luo LS (2002) Force evaluation in the lattice Boltzmann method involving curved geometry. Phys Rev E 65 (4)
22. 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
23. Munting E, Verhelpen M (1993) Mechanical simulator for the upper femur. Acta Orthropedicae Belgica 59(2):123-129
24. 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
25. 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
26. Seiler JG, Johnson J (2000) Iliac crest autogenous bone grafting: donor site complications. J South Orthop Assoc 9:91-97
27. 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
28. Tadrous PJ (1995) A simple and sensitive method for directional edge detection in noisy images. J Pattern Recognit 28(10):1575-1586
29. Turgut A, Yemez Y, et al (1996) Differential block coding of bilevel images. IEE Trans Image Proces, 5(9):1368-1370
30. 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
31. Yuan H, Kurashina K et al (1999) A preliminary study on osteoinduction of two kinds of calcium phosphate ceramics. Biomaterials 20:1799-1806
32. Yuasa T, Miyamoto Y et al (2001) In vitro resorption of three apatite cements with osteoclasts. J Biomed Mater Res 54:344-350 (Pubitemid 32016698)