A modulated closed form solution for quantitative susceptibility mapping - A thorough evaluation and comparison to iterative methods based on edge prior knowledge

NeuroImage

Volumn 107, Issue , 2015, Pages 163-174

  Khabipova, Diana ^a   Wiaux, Yves ^b   Gruetter, Rolf ^a,c,d   Marques, José P ^d  

^a EPFL   (Switzerland)

^b HERIOT WATT UNIVERSITY   (United Kingdom)

^c UNIVERSITY OF GENEVA   (Switzerland)

^d UNIVERSITY OF LAUSANNE   (Switzerland)

Author keywords

Effective transverse relaxation; Modulated closed form solution (MCF); Phase imaging brain tissue susceptibility magnetic resonance imaging (MRI); Quantitative susceptibility mapping

Indexed keywords

ARTICLE; ARTIFACT; CALCULATION OF SUSCEPTIBILITY THROUGH MULTIPLE ORIENTATION SAMPLING; CASE REPORT; CONTROLLED STUDY; CORRELATION ANALYSIS; FEMALE; GRAY MATTER; HUMAN; HUMAN EXPERIMENT; IMAGE RECONSTRUCTION; IN VIVO STUDY; MAGNETISM; MALE; METHODOLOGY; MODULATED CLOSED FORM SOLUTION; NORMAL HUMAN; NUCLEAR MAGNETIC RESONANCE IMAGING; NUCLEAR MAGNETIC RESONANCE SCANNER; PHANTOM; QUANTITATIVE SUSCEPTIBILITY MAPPING; SIMULATION; ADULT; ALGORITHM; ANATOMY AND HISTOLOGY; BRAIN MAPPING; COMPARATIVE STUDY; COMPUTER SIMULATION; IMAGE PROCESSING; IMAGE QUALITY; KNOWLEDGE; MULTIPLE SCLEROSIS; PATHOLOGY; PROCEDURES; WHITE MATTER;

ADULT; ALGORITHMS; ARTIFACTS; BRAIN MAPPING; COMPUTER SIMULATION; FEMALE; GRAY MATTER; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; KNOWLEDGE; MAGNETIC RESONANCE IMAGING; MALE; MULTIPLE SCLEROSIS; PHANTOMS, IMAGING; WHITE MATTER;

EID: 84918541545     PISSN: 10538119     EISSN: 10959572     Source Type: Journal    
DOI: 10.1016/j.neuroimage.2014.11.038     Document Type: Article

References (41)

1. Abdul-Rahman H.S., Gdeisat M.A., Burton D.R., Lalor M.J., Lilley F., Moore C.J. Fast and robust three-dimensional best path phase unwrapping algorithm. Appl. Opt. 2007, 46:6623-6635.
2. Beck A., Teboulle M. Fast gradient-based algorithms for constrained total variation image denoising and deblurring problems. IEEE Trans. Image Process. 2009, 18:2419-2434. 10.1109/TIP.2009.2028250.
3. Bilgic B., Pfefferbaum A., Rohlfing T., Sullivan E.V., Adalsteinsson E. MRI estimates of brain iron concentration in normal aging using quantitative susceptibility mapping. NeuroImage 2012, 59:2625-2635. 10.1016/j.neuroimage.2011.08.077.
4. Bilgic B., Chatnuntawech I., Fan A.P., Setsompop K., Cauley S.F., Wald L.L., Adalsteinsson E. Fast image reconstruction with L2-regularization. J. Magn. Reson. Imaging 2013, (n/a-n/a). 10.1002/jmri.24365.
5. Bydder M., Hamilton G., Yokoo T., Sirlin C.B. Optimal phased-array combination for spectroscopy. Magn. Reson. Imaging 2008, 26:847-850. 10.1016/j.mri.2008.01.050.
6. De Rochefort L., Liu T., Kressler B., Liu J., Spincemaille P., Lebon V., Wu J., Wang Y. Quantitative susceptibility map reconstruction from MR phase data using Bayesian regularization: validation and application to brain imaging. Magn. Reson. Med. Off. J. Soc. Magn. Reson. Med. Soc. Magn. Reson. Med. 2010, 63:194-206. 10.1002/mrm.22187.
7. De Rochefort Ludovico, Wand Hongchen, Loureiro de Sousa Paulo, Armspach Jean-Paul Efficient and automatic harmonic field pre-filtering for brain quantitative susceptibility mapping. ISMRM. Presented at the Annual Meeting of the International Society for Magnetitic Reasonance in Medicine, Salt Lake City, Utah, USA 2013, 170.
8. Deistung A., Schäfer A., Schweser F., Biedermann U., Turner R., Reichenbach J.R. Toward in vivo histology: a comparison of quantitative susceptibility mapping (QSM) with magnitude-, phase-, and R2*-imaging at ultra-high magnetic field strength. NeuroImage 2013, 65:299-314. 10.1016/j.neuroimage.2012.09.055.
9. Duyn J.H., van Gelderen P., Li T.-Q., de Zwart J.A., Koretsky A.P., Fukunaga M. High-field MRI of brain cortical substructure based on signal phase. Proc. Natl. Acad. Sci. U. S. A. 2007, 104:11796-11801. 10.1073/pnas.0610821104.
10. Gruetter R. Automatic, localized in vivo adjustment of all first- and second-order shim coils. Magn. Reson. Med. Off. J. Soc. Magn. Reson. Med. Soc. Magn. Reson. Med. 1993, 29:804-811.
11. Haacke E.M., Xu Y., Cheng Y.-C.N., Reichenbach J.R. Susceptibility weighted imaging (SWI). Magn. Reson. Med. Off. J. Soc. Magn. Reson. Med. Soc. Magn. Reson. Med. 2004, 52:612-618. 10.1002/mrm.20198.
12. Hansen P.C. The L-curve and its use in the numerical treatment of inverse problems. Advances in Computational Bioengineering 2000, 119-142. WIT Press. P. Johnston (Ed.).
13. He X., Yablonskiy D.A. Biophysical mechanisms of phase contrast in gradient echo MRI. Proc. Natl. Acad. Sci. U. S. A. 2009, 106:13558-13563. 10.1073/pnas.0904899106.
14. Kober T., Granziera C., Ribes D., Browaeys P., Schluep M., Meuli R., Frackowiak R., Gruetter R., Krueger G. MP2RAGE multiple sclerosis magnetic resonance imaging at 3T. Invest. Radiol. 2012, 47:346-352. 10.1097/RLI.0b013e31824600e9.
15. Kressler B., de Rochefort L., Liu T., Spincemaille P., Jiang Q., Wang Y. Nonlinear regularization for per voxel estimation of magnetic susceptibility distributions from MRI field maps. IEEE Trans. Med. Imaging 2010, 29:273-281. 10.1109/TMI.2009.2023787.
16. Langkammer C., Schweser F., Krebs N., Deistung A., Goessler W., Scheurer E., Sommer K., Reishofer G., Yen K., Fazekas F., Ropele S., Reichenbach J.R. Quantitative susceptibility mapping (QSM) as a means to measure brain iron? A post mortem validation study. NeuroImage 2012, 62:1593-1599. 10.1016/j.neuroimage.2012.05.049.
17. Liu T., Spincemaille P., de Rochefort L., Kressler B., Wang Y. Calculation of susceptibility through multiple orientation sampling (COSMOS): a method for conditioning the inverse problem from measured magnetic field map to susceptibility source image in MRI. Magn. Reson. Med. Off. J. Soc. Magn. Reson. Med. Soc. Magn. Reson. Med. 2009, 61:196-204. 10.1002/mrm.21828.
18. Liu C., Li W., Johnson G.A., Wu B. High-field (9.4T) MRI of brain dysmyelination by quantitative mapping of magnetic susceptibility. NeuroImage 2011, 56:930-938. 10.1016/j.neuroimage.2011.02.024.
19. Liu T., Liu J., de Rochefort L., Spincemaille P., Khalidov I., Ledoux J.R., Wang Y. Morphology enabled dipole inversion (MEDI) from a single-angle acquisition: comparison with COSMOS in human brain imaging. Magn. Reson. Med. Off. J. Soc. Magn. Reson. Med. Soc. Magn. Reson. Med. 2011, 66:777-783. 10.1002/mrm.22816.
20. Liu T., Xu W., Spincemaille P., Avestimehr A.S., Wang Y. Accuracy of the morphology enabled dipole inversion (MEDI) algorithm for quantitative susceptibility mapping in MRI. IEEE Trans. Med. Imaging 2012, 31:816-824. 10.1109/TMI.2011.2182523.
21. Lodygensky G.A., Marques J.P., Maddage R., Perroud E., Sizonenko S.V., Hüppi P.S., Gruetter R. In vivo assessment of myelination by phase imaging at high magnetic field. NeuroImage 2012, 59:1979-1987. 10.1016/j.neuroimage.2011.09.057.
22. Luo J., He X., d'Avignon D.A., Ackerman J.J.H., Yablonskiy D.A. Protein-induced water 1H MR frequency shifts: contributions from magnetic susceptibility and exchange effects. J. Magn. Reson. San Diego Calif. 1997 2010, 202:102-108. 10.1016/j.jmr.2009.10.005.
23. Luo J., He X., Yablonskiy D.A. Magnetic susceptibility induced white matter MR signal frequency shifts-experimental comparison between Lorentzian sphere and generalized Lorentzian approaches. Magn. Reson. Med. Off. J. Soc. Magn. Reson. Med. Soc. Magn. Reson. Med. 2013, 10.1002/mrm.24762.
24. Lustig M., Donoho D., Pauly J.M. Sparse MRI: the application of compressed sensing for rapid MR imaging. Magn. Reson. Med. 2007, 58:1182-1195. 10.1002/mrm.21391.
25. Marques J.P., Bowtell R. Application of a Fourier-based method for rapid calculation of field inhomogeneity due to spatial variation of magnetic susceptibility. Concepts Magn. Reson. Part B: Magn. Reson. Eng. 2005, 25:65-78. 10.1002/cmr.b.20034.
26. Marques J.P., Kober T., Krueger G., van der Zwaag W., Van de Moortele P.-F., Gruetter R. MP2RAGE, a self bias-field corrected sequence for improved segmentation and T1-mapping at high field. NeuroImage 2010, 49:1271-1281. 10.1016/j.neuroimage.2009.10.002.
27. Puy G., Marques J.P., Gruetter R., Thiran J.-P., Van De Ville D., Vandergheynst P., Wiaux Y. Spread spectrum magnetic resonance imaging. IEEE Trans. Med. Imaging 2012, 31:586-598. 10.1109/TMI.2011.2173698.
28. Rauscher A., Sedlacik J., Barth M., Mentzel H.-J., Reichenbach J.R. Magnetic susceptibility-weighted MR phase imaging of the human brain. AJNR Am. J. Neuroradiol. 2005, 26:736-742.
29. Salomir R., de Senneville B.D., Moonen C.T. A fast calculation method for magnetic field inhomogeneity due to an arbitrary distribution of bulk susceptibility. Concepts Magn. Reson. Part B: Magn. Reson. Eng. 2003, 19B:26-34. 10.1002/cmr.b.10083.
30. Schäfer A., Wharton S., Gowland P., Bowtell R. Using magnetic field simulation to study susceptibility-related phase contrast in gradient echo MRI. NeuroImage 2009, 48:126-137. 10.1016/j.neuroimage.2009.05.093.
31. Schweser F., Deistung A., Lehr B.W., Reichenbach J.R. Quantitative imaging of intrinsic magnetic tissue properties using MRI signal phase: an approach to in vivo brain iron metabolism?. NeuroImage 2011, 54:2789-2807. 10.1016/j.neuroimage.2010.10.070.
32. Schweser F., Sommer K., Deistung A., Reichenbach J.R. Quantitative susceptibility mapping for investigating subtle susceptibility variations in the human brain. NeuroImage 2012, 62:2083-2100. 10.1016/j.neuroimage.2012.05.067.
33. Schweser F., Deistung A., Sommer K., Reichenbach J.R. Toward online reconstruction of quantitative susceptibility maps: superfast dipole inversion. Magn. Reson. Med. 2013, 69:1582-1594.
34. Shmueli K., de Zwart J.A., van Gelderen P., Li T.-Q., Dodd S.J., Duyn J.H. Magnetic susceptibility mapping of brain tissue in vivo using MRI phase data. Magn. Reson. Med. 2009, 62:1510-1522. 10.1002/mrm.22135.
35. Shmueli K., Dodd S.J., Li T.-Q., Duyn J.H. The contribution of chemical exchange to MRI frequency shifts in brain tissue. Magn. Reson. Med. Off. J. Soc. Magn. Reson. Med. Soc. Magn. Reson. Med. 2011, 65:35-43. 10.1002/mrm.22604.
36. Wharton S., Bowtell R. Whole-brain susceptibility mapping at high field: a comparison of multiple- and single-orientation methods. NeuroImage 2010, 53:515-525. 10.1016/j.neuroimage.2010.06.070.
37. Wharton S., Bowtell R. Gradient echo based fiber orientation mapping using R2* and frequency difference measurements. NeuroImage 2013, 83:1011-1023. 10.1016/j.neuroimage.2013.07.054.
38. Wu B., Li W., Guidon A., Liu C. Whole brain susceptibility mapping using compressed sensing. Magn. Reson. Med. 2012, 67:137-147. 10.1002/mrm.23000.
39. Yablonskiy D.A., Luo J., Sukstanskii A.L., Iyer A., Cross A.H. Biophysical mechanisms of MRI signal frequency contrast in multiple sclerosis. Proc. Natl. Acad. Sci. 2012, 109:14212-14217. 10.1073/pnas.1206037109.
40. Zhong K., Leupold J., von Elverfeldt D., Speck O. The molecular basis for gray and white matter contrast in phase imaging. NeuroImage 2008, 40:1561-1566. 10.1016/j.neuroimage.2008.01.061.
41. Zhou J., Golay X., van Zijl P.C., Silvennoinen M.J., Kauppinen R., Pekar J., Kraut M. Inverse T(2) contrast at 1.5Tesla between gray matter and white matter in the occipital lobe of normal adult human brain. Magn. Reson. Med. Off. J. Soc. Magn. Reson. Med. Soc. Magn. Reson. Med. 2001, 46:401-406.