### Abstract

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, R_{2}', 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 R_{2}' are predicted at constant material density, in that the field distribution widens with simultaneously increasing strut number density and decreasing strut thickness.

Original language | English (US) |
---|---|

Pages (from-to) | 373-379 |

Number of pages | 7 |

Journal | Magnetic Resonance in Medicine |

Volume | 30 |

Issue number | 3 |

State | Published - 1993 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Radiology Nuclear Medicine and imaging
- Radiological and Ultrasound Technology

### Cite this

*Magnetic Resonance in Medicine*,

*30*(3), 373-379.

**Magnetic field distribution in models of trabecular bone.** / Ford, John; Wehrli, F. W.; Chung, H. W.

Research output: Contribution to journal › Article

*Magnetic Resonance in Medicine*, vol. 30, no. 3, pp. 373-379.

}

TY - JOUR

T1 - Magnetic field distribution in models of trabecular bone

AU - Ford, John

AU - Wehrli, F. W.

AU - Chung, H. W.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0027272565&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027272565&partnerID=8YFLogxK

M3 - Article

C2 - 8412611

AN - SCOPUS:0027272565

VL - 30

SP - 373

EP - 379

JO - Magnetic Resonance in Medicine

JF - Magnetic Resonance in Medicine

SN - 0740-3194

IS - 3

ER -