Medical Engineering & Physics
Volume 30, Issue 5 , Pages 624-630 , June 2008

Inhomogeneity of tissue-level strain distributions in individual trabeculae: Mathematical model studies of normal and osteoporosis cases

Received 17 January 2007 ,Revised 28 June 2007 ,Accepted 2 July 2007.

References 

  1. Wolff JL. The law of bone remodeling. Berlin: Springer; 1986;(translation of the German 1892 original edition)
  2. Miller Z, Fuchs MB, Arcan M. Trabecular bone adaptation with an orthotropic material model. J Biomech. 2002;35:247–256
  3. Gefen A, Seliktar R. Comparison of the trabecular architecture and the isostatic stress flow in the human calcaneus. Med Eng Phys. 2004;26:119–129
  4. Van Rietbergen B, Huiskes R, Eckstein F, Ruegsegger P. Trabecular bone tissue strains in the healthy and osteoporotic human femur. J Bone Miner Res. 2003;18:1781–1788
  5. McNamara L, Van der Linden J, Weinans H, Prendergast P. Stress-concentrating effect of resorption lacunae in trabecular bone. J Biomech. 2006;39:734–741
  6. Smit TH, Burger EH. Is BMU-coupling a strain-regulated phenomenon? A finite element analysis. J Bone Miner Res. 2000;15:301–307
  7. Gibson LJ. Biomechanics of cellular solids. J Biomech. 2005;38:377–399
  8. Werner HJ, Martin H, Behrend D, Schmitz KP, Schoherf HC. The loss of stiffness as osteoporosis progresses. Med Eng Phys. 1996;18:601–606
  9. Miller Z, Fuchs MB. Effect of trabecular curvature on the stiffness of trabecular bone. J Biomech. 2005;38:1855–1864
  10. Yoo A, Jasiuk I. Couple-stress moduli of a trabecular bone idealized as a 3D periodic cellular network. J Biomech. 2006;39:2241–2252
  11. Sander EA, Shimko DA, Dee KC, Nauman EA. Examination of continuum and micro-structural properties of human vertebral cancellous bone using combined cellular solid models. Biomech Model Mechanobiol. 2003;2:97–107
  12. Dagan D, Be’ery M, Gefen A. Single-trabecula building block for large-scale finite element models of cancellous bone. Med Biol Eng Comput. 2004;42:549–556
  13. Be’ery-Lipperman M, Gefen A. A method of quantification of stress shielding in the proximal femur using hierarchical computational modeling. Comput Methods Biomech Biomed Eng. 2006;9:35–44
  14. Be’ery-Lipperman M, Gefen A. Contribution of muscular weakness to osteoporosis: computational and animal models. Clin Biomech. 2005;20:984–997
  15. Diamant I, Shahar R, Gefen A. How to select the elastic modulus for cancellous bone in patient-specific continuum models of the spine. Med Biol Eng Comput. 2005;43:465–472
  16. Diamant I, Shahar R, Masharawi Y, Gefen A. A method for patient-specific evaluation of vertebral cancellous bone strength: in vitro validation. Clin Biomech. 2007;22:282–291
  17. Gefen A, Neulander R. Computational determination of the critical microcrack size which causes a remodeling response in a trabecula: a feasibility study. J Appl Biomech. 2007;23:230–237
  18. Majumdar S, Kothari M, Augat P, Newitt DC, Link TM, Lin JC, et al. High-resolution magnetic resonance imaging: three-dimensional trabecular bone architecture and biomechanical properties. Bone. 1998;22:445–454
  19. Kothari M, Keaveny TM, Lin JC, Newitt DC, Majumdar S. Measurement of intraspecimen variations in vertebral cancellous bone architecture. Bone. 1999;25:245–250
  20. Levchakov A, Linder-Ganz E, Raghupathi R, Margulies SS, Gefen A. Computational studies of strain exposures in neonate and mature rat brains during closed head impact. J Neurotrauma. 2006;23:1570–1580
  21. Reilly DT, Burstein AH. The elastic and ultimate properties of compact bone tissue. J Biomech. 1975;8:393–405

PII: S1350-4533(07)00138-5

doi: 10.1016/j.medengphy.2007.07.001

Medical Engineering & Physics
Volume 30, Issue 5 , Pages 624-630 , June 2008

Article Tools

* Image Usage & Resolution