Journal of Materials Science: Materials in Medicine

, Volume 12, Issue 8, pp 743–751

The spatial arrangement of tubules in human dentin

  • J. H. Kinney
  • J. Oliveira
  • D. L. Haupt
  • G. W. Marshall
  • S. J. Marshall
Article

DOI: 10.1023/A:1011232912734

Cite this article as:
Kinney, J.H., Oliveira, J., Haupt, D.L. et al. Journal of Materials Science: Materials in Medicine (2001) 12: 743. doi:10.1023/A:1011232912734

Abstract

We applied two-dimensional numerical methods to describe the spatial arrangement of tubules in human dentin. The methods considered were two-point correlation functions, entropy-like measures, and angular distributions between nearest neighbors. The correlation functions were based on Fourier transform methods. The latter two approaches were based on stochastic geometry, and involved developing the Delaunay tessellations of the tubule patterns and their dual Voronoi diagrams. We discovered that for analyzing the distribution of tubules the geometric methods of lattice tessellations were more sensitive to structural order of the tubules than were Fourier-based schemes. Analysis of the data indicated that dentinal tubules are highly ordered in normal dentin. © 2001 Kluwer Academic Publishers

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • J. H. Kinney
    • 1
  • J. Oliveira
    • 2
  • D. L. Haupt
    • 3
  • G. W. Marshall
    • 1
  • S. J. Marshall
    • 1
  1. 1.Division of Bioengineering and Biomaterials, Department of Preventive and Restorative Dental SciencesUniversity of California, San FranciscoSan Francisco
  2. 2.Battelle Pacific Northwest LabRichland
  3. 3.Lawrence Livermore National LaboratoryLivermore