Medical Engineering & Physics
Volume 29, Issue 3 , Pages 298-306 , April 2007

Optimal cut of trabecular network

Received 30 January 2006 ,Revised 14 March 2006 ,Accepted 4 April 2006.

References 

  1. Carter DE, Hayes WC. The compressive behavior of bone as two-phase porous structure. J Bone Joint Surg. 1977;59:954–962
  2. Rice JC, Cowin SC, Bowman JA. On the dependence of the elasticity and strength of cancellous bone on apparent density. J Biomech. 1988;21:155–168
  3. Keller TS. Predicting the compressive mechanical behavior of bone. J Biomech. 1994;27:1159–1168
  4. Silva MJ, Gibson LJ. Modeling the mechanical behavior of vertebral trabecular bone: effects of age-related changes in microstructure. Bone. 1997;21:191–199
  5. Silva MJ, Keaveny TM, Hayes WC. Computed tomography-based finite element analysis predicts failure loads and fracture patterns for vertebral sections. J Orthop Res. 1998;16:300–308
  6. Nazarian A, Muller R. Time-lapsed microstructural imaging of bone failure behavior. J Biomech. 2004;37:55–65
  7. Nazarian A, Stauber M, Muller R. Design and implementation of a novel mechanical testing system for cellular solids. J Biomed Mater Res B. 2005;73:400–411
  8. Perilli E, Baruffaldi F, Baleani M, Fognani R, Visentin M, Stea S, et al. Trabecular bone of proximal femur: dependence of mechanical compressive strength on local variations in bone morphometry. Bone. 2005;36(Suppl 2):S191–S192
  9. Jain AK, Dubes RC. Algorithms for Clustering Data. Engelwood Cliffs: Prentice Hall; 1988;
  10. Everitt BS. Cluster Analysis. London: Edward Arnold; 1993;
  11. Newman MEJ. Detecting community structure in networks. Eur Phys J B. 2004;38:321–330
  12. Girvan M, Newman MEJ. Community structure in social and biological networks. Proc Natl Acad Sci USA. 2002;99:7821–7826
  13. Fiedler M. Algebraic connectivity of graphs. Czech Math J. 1973;23:298–305
  14. Fiedler M. A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory. Czech Math J. 1975;25:619–637
  15. Biggs NL. Algebraic Graph Theory. Cambridge: Cambridge University Press; 1974;
  16. Tabor Z, Rokita E. Comparison of trabecular bone architecture in young and old bones. Med Phys. 2000;27:1165–1173
  17. Laib A, Beuf O, Issever A, Newitt DC, Majumdar S. Direct measures of trabecular bone architecture from MR images. Adv Exp Med Biol. 2001;496:37–46
  18. Pothuaud L, Laib A, Levitz P, Benhamou CL, Majumdar S. Three-dimensional-line skeleton graph analysis of high-resolution magnetic resonance images: a validation study from 34mm resolution microcomputed tomography. J Bone Miner Res. 2002;17:1883–1895
  19. Cormen TH, Leiserson CE, Rivest RL. Introduction to Algorithms. Cambridge: MIT Press; 1990;
  20. Ross JC. The Image Proccesing Handbook. Boca Raton: CRC Press; 1994;
  21. http://www.cs.berkeley.edu/∼demmel/cs267
  22. Binder K. Monte Carlo Methods in Statistical Physics. Berlin: Springer-Verlag; 1986;
  23. Chung JW, Roos A, De Hosson JThM, van der Giessen E. Fracture of disordered three-dimensional spring networks: a computer simulation methodology. Phys Rev B. 1996;54:15094–15100
  24. Batrouni GG, Hansen A. Fracture in three-dimensional fuse networks. Phys Rev Lett. 1998;80:325–328
  25. Gunaratne GH, Rajapaksa CS, Bassler KE, Mohanty KK, Wimalawansa SJ. Model for bone strength and osteoporotic fractures. Phys Rev Lett. 2002;88:068101

PII: S1350-4533(06)00081-6

doi: 10.1016/j.medengphy.2006.04.001

Medical Engineering & Physics
Volume 29, Issue 3 , Pages 298-306 , April 2007