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Validation of MRI-Based Fiber-Tracking Results

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Abstract

A new approach to estimating the probability of the fiber-track existence has been developed and validated on the basis of digital phantoms and diffusion-weighted magnetic resonance imaging measurements on human brain. The proposed approach includes two parameters—the local probability of the tract direction and the Shannon entropy. The local probability of the tract direction characterizes how well tracts “fit” the direction information in a voxel. The Shannon entropy characterizes the shape of diffusivity in the voxel. Calculations on digital phantoms and in vivo data showed that the combination of these parameters makes it possible to verify fiber-tracking results.

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References

  1. S. Mori, P.C.M. van Zijl, NMR Biomed. 15, 468–480 (2002)

    Article  Google Scholar 

  2. J.H. Jensen, J.A. Helpern, A. Ramani, H. Lu, K. Kaczynski, Magn. Reson. Med. 53(6), 1432–1440 (2005)

    Article  Google Scholar 

  3. V.G. Kiselev, in Diffusion MRI: Theory, Methods, and Applications, ed. by D.K. Jones (Oxford University Press, Oxford, 2011), p. 152

    Google Scholar 

  4. B.W. Kreher, J.F. Schneider, I. Mader, E. Martin, J. Hennig, K.A. Il’yasov, Magn. Reson. Med. 54, 1216–1225 (2005)

    Article  Google Scholar 

  5. V.J. Wedeen, R.P. Wang, J.D. Schmahmann, T. Benner, W.Y.I. Tseng, G. Dai, D.N. Pandya, P. Hagmann, H. D’Arceuil, A.J. de Crespigny, Neuroimage 41, 1267–1277 (2008)

    Article  Google Scholar 

  6. J.-D. Tournier, C.-H. Yeh, F. Calamante, K.-H. Cho, A. Connelly, C.-P. Lin, Neuroimage 42, 617–625 (2008)

    Article  Google Scholar 

  7. L.R. Frank, Magn. Reson. Med. 47, 1083–1099 (2002)

    Article  ADS  Google Scholar 

  8. D.C. Alexander, Inf. Process. Med. Imaging 19, 76–87 (2005)

    Article  Google Scholar 

  9. V.J. Wedeen, P. Hagmann, W.-Y.I. Tseng, T.G. Reese, R.M. Weisskoff, Magn. Reson. Med. 54, 1377–1386 (2005)

    Article  Google Scholar 

  10. M. Reisert, I. Mader, C. Anastasopoulos, M. Weigel, S. Schnell, V. Kiselev, Neuroimage 54, 955–962 (2011)

    Article  Google Scholar 

  11. P. Fillard, M. Descoteaux, A. Goh, S. Gouttard, B. Jeurissen, J. Malcolm, A. Ramirez-Manzanares, M. Reisert, K. Sakaie, F. Tensaouti, T. Yo, J.-F. Mangin, C. Poupon, Neuroimage 56, 220–234 (2011)

    Article  Google Scholar 

  12. L.-A. Harsan, C. Dávid, M. Reisert, S. Schnell, J. Hennig, D. von Elverfeldt, J.F. Staiger, Proc. Natl. Acad. Sci. USA 110, E1797–E1806 (2013)

    Article  ADS  Google Scholar 

  13. M.L. Mandelli, M.S. Berger, M. Bucci, J.I. Berman, B. Amirbekian, R.G. Henry, J. Neurosurg. 121, 349–358 (2014)

    Article  Google Scholar 

  14. T.R. Knosche, A. Anwander, M. Liptrot, T.B. Dyrby, Hum. Brain Mapp. 36, 4116–4134 (2015)

    Article  Google Scholar 

  15. M. Axer, D. Grassel, M. Kleiner, J. Dammers, T. Dickscheid, J. Reckfort, T. Hutz, B. Eiben, U. Pietrzyk, K. Zilles, K. Amunts, Front. Neuroinform. 5, 34 (2011)

    Google Scholar 

  16. M.-A. Cote, G. Girard, A. Bore, E. Garyfallidis, J.-C. Houde, M. Descoteaux, Med. Image Anal. 17, 844–857 (2013)

    Article  Google Scholar 

  17. ISMRM. Diffusion Study Group meeting (2015). http://www.tractometer.org/ismrm_2015_challenge. Accessed 31 Oct 2016

  18. M.A. Koch, D.G. Norris, M. Hund-Georgiadis, Neuroimage 16, 241–250 (2002)

    Article  Google Scholar 

  19. C.E. Shannon, Bell Syst. Tech. J. 27, 379–423 (1948)

    Article  Google Scholar 

  20. D.C. Alexander, G.J. Barker, S.R. Arridge, Magn. Reson. Med. 48(2), 331–340 (2002)

    Article  Google Scholar 

  21. J.D. Tournier, F. Calamante, A. Connelly, D. Gadian, NeuroImage 23, 1176–1185 (2004)

    Article  Google Scholar 

  22. J.D. Tournier, F. Calamante, A. Connelly, NeuroImage 35, 1459–1472 (2007)

    Article  Google Scholar 

  23. K.A. Il’yasov, G. Barta, B.W. Kreher, M.E. Bellemann, J. Hennig, Appl. Magn. Reson. 29, 107–122 (2005)

    Article  Google Scholar 

  24. H. Gudbjartsson, S. Patz, Magn. Reson. Med. 34, 910–914 (1995)

    Article  Google Scholar 

  25. K.A. Il’yasov, J. Hennig, J. Magn. Reson. Imaging 8(6), 1296–1305 (1998)

    Article  Google Scholar 

  26. K.A. Il’yasov, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 153(1), 17–37 (2011)

    MathSciNet  Google Scholar 

  27. B. Kreher, J. Henning, K.A. Il’yasov, in Proceedings of ISMRM 14th International Scientific Meeting, Seattle, USA May 2006, 2758

  28. S. Mori, B.J. Crain, V.P. Chacko, P.C. van Zijl, Ann. Neurol. 45, 265–269 (1999)

    Article  Google Scholar 

  29. B.W. Kreher, S. Schnell, I. Mader, K.A. Il’yasov, J. Hennig, V.G. Kiselev, D. Saur, Neuroimage 43, 81–89 (2008)

    Article  Google Scholar 

  30. D.K. Jones, Magn. Reson. Med. 49, 7–12 (2003)

    Article  Google Scholar 

  31. E. Ozarslan, B.C. Vemuri, T.H. Mareci, Magn. Reson. Med. 53, 866–876 (2005)

    Article  Google Scholar 

  32. T. Neuvonen, E. Salli, in Proceedings of the 27th IEEE Eng. Med. Biol. Soc. Ann. Conf. Shanghai, China, September 2005 (IEEE, Shanghai, 2006) pp. 5798–5801

  33. M. Farzinfar, I. Oguz, R.G. Smith, A.R. Verde, C. Dietrich, A. Gupta, M.L. Escolar, J. Piven, S. Pujol, C. Vachet, S. Gouttard, G. Gerig, S. Dager, R.C. McKinstry, S. Paterson, A.C. Evans, M.A. Styner, Neuroimage 82, 1–12 (2013)

    Article  Google Scholar 

  34. L.R. Frank, V.L. Galinsky, Phys. Rev. E: Stat. Nonlin. Soft. Matter. Phys. 89, 032142 (2014)

    Article  ADS  Google Scholar 

  35. V.L. Galinsky, L.R. Frank, IEEE Trans. Med. Imaging 34, 1177–1193 (2015)

    Article  Google Scholar 

  36. B. Jeurissen, A. Leemans, J.-D. Tournier, D.K. Jones, J. Sijbers, Hum. Brain Mapp. 34, 2747–2766 (2013)

    Article  Google Scholar 

Download references

Acknowledgements

This research was supported by the Russian Foundation for Basic Research (Project No. 13-02-00925). We are grateful to Prof. J. Hennig, PD. Dr. V. Kiselev, and Dr. M. Reisert from Freiburg University Hospital for providing us with human 3T DW-MRI data and for developing a new version of “DTI&Fibers-Tool” program.

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Correspondence to K. A. Il’yasov.

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Il’yasov, K.A., Konopleva, L.V. & Nedopekin, O.V. Validation of MRI-Based Fiber-Tracking Results. Appl Magn Reson 48, 241–254 (2017). https://doi.org/10.1007/s00723-017-0859-z

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  • DOI: https://doi.org/10.1007/s00723-017-0859-z

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