Magnetic field distribution in models of trabecular bone

J. Chetley Ford, Felix W. Wehrli, Hsiao‐Wen ‐W Chung

Research output: Contribution to journalArticlepeer-review

80 Scopus citations


A magnetostatic model consisting of a tetragonal lattice of struts of diamagnetic material, mimicking vertebral trabecular bone, was developed. The model allows estimation of the magnetic field histogram within the lattice's unit cell as a function of geometric parameters. The field was computed analytically from the induced magnetic surface charge density on the faces of the struts. The contribution from the induced magnetic field to the effective transverse relaxation rate, R2 was obtained as the mean decay rate of the Fourier transformed histograms, for both fixed and randomly oriented lattices. The model predicts the field distribution to increase with both strut thickness and density, paralleling material density. Finally, significant changes in R2′ are predicted at constant material density, in that the field distribution widens with simultaneously increasing strut number density and decreasing strut thickness.

Original languageEnglish (US)
Pages (from-to)373-379
Number of pages7
JournalMagnetic Resonance in Medicine
Issue number3
StatePublished - Sep 1993
Externally publishedYes


  • MR
  • osteoporosis
  • trabecular bone
  • transverse relaxation

ASJC Scopus subject areas

  • Radiology Nuclear Medicine and imaging


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