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A framework based on spin glass models for the inference of anatomical connectivity from diffusion-weighted MR data – a technical review

  1. J.-F. Mangin1,*,
  2. C. Poupon1,
  3. Y. Cointepas1,
  4. D. Rivière1,
  5. D. Papadopoulos-Orfanos1,
  6. C. A. Clark1,
  7. J. Régis2,
  8. D. Le Bihan1

Article first published online: 5 DEC 2002

DOI: 10.1002/nbm.780

Issue

NMR in Biomedicine

NMR in Biomedicine

Special Issue: Diffusion tensor imaging and axonal mapping - state of the art

Volume 15, Issue 7-8, pages 481–492, November - December 2002

Additional Information

How to Cite

Mangin, J.-F., Poupon, C., Cointepas, Y., Rivière, D., Papadopoulos-Orfanos, D., Clark, C. A., Régis, J. and Le Bihan, D. (2002), A framework based on spin glass models for the inference of anatomical connectivity from diffusion-weighted MR data – a technical review. NMR Biomed., 15: 481–492. doi: 10.1002/nbm.780

Author Information

  1. 1

    Service Hospitalier Frédéric Joliot, CEA, Orsay, France

  2. 2

    Service de Neurochirurgie Fonctionnelle et Stéréotaxique, CHU La Timone, France

*Service Hospitalier Frédéric Joliot CEA, 4 place du Général Leclerc, 91401 Orsay Cedex, France

Publication History

  1. Issue published online: 5 DEC 2002
  2. Article first published online: 5 DEC 2002
  3. Manuscript Accepted: 29 JAN 2002
  4. Manuscript Revised: 7 JAN 2002
  5. Manuscript Received: 17 MAY 2001

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Keywords:

  • diffusion;
  • connectivity;
  • white matter;
  • fiber;
  • regularization;
  • inverse problem;
  • spin glass

Abstract

A family of methods aiming at the reconstruction of a putative fascicle map from any diffusion-weighted dataset is proposed. This fascicle map is defined as a trade-off between local information on voxel microstructure provided by diffusion data and a priori information on the low curvature of plausible fascicles. The optimal fascicle map is the minimum energy configuration of a simulated spin glass in which each spin represents a fascicle piece. This spin glass is embedded into a simulated magnetic external field that tends to align the spins along the more probable fiber orientations according to diffusion models. A model of spin interactions related to the curvature of the underlying fascicles introduces a low bending potential constraint. Hence, the optimal configuration is a trade-off between these two kind of forces acting on the spins. Experimental results are presented for the simplest spin glass model made up of compass needles located in the center of each voxel of a tensor based acquisition. Copyright © 2002 John Wiley & Sons, Ltd.

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