PMID: 9556138Apr 29, 1998Paper

Dynamic stochastic simulation of cancellous bone resorption

Bone
C M LangtonM J Fagan

Abstract

A stochastic simulation of cancellous bone resorption was developed and applied to a simple two-dimensional lattice structure representing the vertebral body. The simulation is based upon the concept of a basic multicellular unit (BMU) where net resorption (-deltaB.BMU) is considered at bone/marrow surfaces. The cancellous bone structure is defined as a binary matrix with the size of the pixels corresponding to a square element of approximately 20 microm dimension. The simulation considers both the probability that any surface pixel will be activated into a BMU and, if activated, the length of the resorption cavity. The relationship between relative stiffness and density for the simulation was predicted by finite element analysis. The stochastic simulation was iterated eight times with the mechanical properties assessed after each stage. Perforation of a single trabeculae was first observed at step 2, the structure completely lacking connectivity and mechanical integrity by step 8. The slope of the stiffness-porosity graph was greater than unity for the first five steps, but thereafter approached zero because the structure had lost connectivity and effectively collapsed. The eight-step simulation was repeated five times and dem...Continue Reading

References

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Citations

Dec 29, 2010·Journal of Bone and Mineral Metabolism·Chao WangYubo Fan
Feb 11, 2011·Biomechanics and Modeling in Mechanobiology·Jia LiuMichael J Fagan
Feb 23, 2002·Journal of Biomechanics·Xiaobo Wang, Geneviève A Dumas
Oct 30, 2004·Computer Methods in Biomechanics and Biomedical Engineering·Laurent PothuaudSharmila Majumdar
Mar 27, 2001·Computer Methods in Biomechanics and Biomedical Engineering·M. J. FaganC. M. Langton
Apr 24, 2001·Journal of Bone and Mineral Research : the Official Journal of the American Society for Bone and Mineral Research·J C Van Der LindenH Weinans
Feb 17, 2005·Journal of Biomechanics·R RuimermanR Huiskes
Oct 3, 2014·World Journal of Radiology·Jef Vanderoost, G Harry van Lenthe
Dec 16, 2003·Journal of Bone and Mineral Research : the Official Journal of the American Society for Bone and Mineral Research·Ian H Parkinson, Nicola L Fazzalari
Apr 22, 2009·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Friederike A GerhardRalph Müller
Jun 4, 2008·Physical Review Letters·Marco RusconiJürgen Kurths
May 23, 2002·Proceedings of the Institution of Mechanical Engineers. Part H, Journal of Engineering in Medicine·C A DobsonM K Fagan
Dec 17, 2004·Physical Review Letters·Richard WeinkamerPeter Fratzl

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