Log wavelet leaders cumulant based multifractal analysis of EVI fMRI time series: Evidence of scaling in ongoing and evoked brain activity

IEEE Journal on Selected Topics in Signal Processing

Volumn 2, Issue 6, 2008, Pages 929-943

  Ciuciu, Philippe ^a   Abry, Patrice ^b   Rabrait, Cécile ^a   Wendt, Herwig ^b  

^a DIF   (France)

^b UNIVERSITÉ DE LYON   (France)

Author keywords

Biomedical signal detection; Brain activity; Brain mapping; EVI; Functional magnetic resonance imaging; Magnetic resonance imaging; Multifractal analysis; Signal detection; Time series analysis; Wavelet coefficients; Wavelet leaders

Indexed keywords

BRAIN; FINANCIAL DATA PROCESSING; MAGNETIC RESONANCE; MAGNETIC RESONANCE IMAGING; MAGNETISM; MAXIMUM LIKELIHOOD ESTIMATION; SIGNAL DETECTION; SIGNAL PROCESSING; STATISTICAL TESTS; STOCHASTIC MODELS; THREE DIMENSIONAL; TIME SERIES; WAVELET TRANSFORMS;

BIOMEDICAL SIGNAL DETECTION; BRAIN ACTIVITY; BRAIN MAPPING; EVI; FUNCTIONAL MAGNETIC RESONANCE IMAGING; MULTIFRACTAL ANALYSIS; WAVELET COEFFICIENTS; WAVELET LEADERS;

TIME SERIES ANALYSIS;

EID: 60549087162     PISSN: 19324553     EISSN: None     Source Type: Journal    
DOI: 10.1109/JSTSP.2008.2006663     Document Type: Article

References (66)

1. M. McKeown, "Detection of consitently task-related activation in fMRI data with hybrid independent component analysis," NeuroImage, vol. 11, pp. 24-35, 2000.
2. V. Calhoun, T. Adali, G. Pearlson, and J. Pekar, "Spatial and temporal independent component analysis of functional MRI data containing a pair of task-related waveforms," Hum. Brain Mapp., vol. 13, pp. 43-53, 2001.
3. C. Beckmann and S. Smith, "Probabilistic independent component analysis for functional magnetic resonance imaging," IEEE Trans. Med. Imag. vol. 23, no. 2, pp. 137-152, Feb. 2004.
4. E. Zarahn, G. K. Aguirre, and M. D'Esposito, "Empirical analysis of BOLD fMRI statistics. I. Spatially unsmoothed data collected under null-hypothesis conditions," NeuroImage, vol. 5, pp. 179-197, Apr. 1997.
5. E. Bullmore, J. Fadili, V. Maxim, L. S,endur, B. Whitcher, J. Suckling, M. Brammer, and M. Breakspear, "Wavelets and functional magnetic resonance imaging of the human brain," NeuroImage, vol. 23, pp. S234-S249, 2004.
6. R. M. Birn, P. A. Bandettini, R. W. Cox, A. Jesmanowicz, and R. Shaker, "Magnetic field changes in the human brain due to swallowing or speaking," Magn. Reson. Med., vol. 40, pp. 55-60, 1998.
7. J. Diedrichsen and R. Shadmehr, "Detecting and adjusting for artifacts in fMRI time series data," NeuroImage, vol. 27, pp. 624-634, Sep. 2005.
8. P. L. Purdon and R. M. Weisskoff, "Effect of temporal autocorrelation due to physiological noise and stimulus paradigm on voxel-level falsepositive rates in fMRI.," Human Brain Mapp., vol. 6, pp. 239-249, 1998.
9. L. Frank, R. Buxton, and E. Wong, "Estimation of respiration induced noise fluctuations from undersampled multislice fMRI data," Magn. Reson. Med., vol. 45, pp. 635-644, 2001.
10. G. Kruger and G. Glover, "Physiological noise in oxygenationsensitive magnetic resonance imaging," Magn. Reson. Med., vol. 46, pp. 631-637, 2001.
11. E. Bullmore, C. Long, J. Suckling, J. Fadili, G. Calvert, F. Zelaya, T. Carpenter, and M. Brammer, "Colored noise and computational inference in neurophysiological (fMRI) time series analysis," Human Brain Mapp., vol. 12, pp. 61-78, 2001.
12. F. G. Meyer, "Wavelet-based estimation of a semi-parametric generalized linear model of fMRI time series," IEEE Trans. Med. Imag., vol. 22, no. 3, pp. 315-322, Mar. 2003.
13. C. Long, E. N. Brown, L. W. C. Triantafyllou, I. Aharon, and V. Solo, "Nonstationary noise estimation in functional MRI," NeuroImage, vol. 28, pp. 890-903, Dec. 2005.
14. J. Fadili and E. Bullmore, "Wavelet-generalized least squares: A new BLU estimator of linear regression models with 1/f errors," NeuroImage., vol. 15, pp. 217-232, Jan. 2002.
15. L. Huaien and S. Puthusserypady, "fMRI data analysis with nonstationary noise models: A bayesian approach," IEEE Trans. Biomed. Eng., vol. 54, no. 9, pp. 1621-1630, Sep. 2007.
16. M. A. Burock, R. L. Buckner, M. G.Woldorff, B. R. Rosen, and A. M. Dale, "Randomized event-related experimental designs allow for extremely rapid presentation rates using functional MRI.," Neuroreport, vol. 9, pp. 3735-3739, Nov. 1998.
17. D. Leopold, Y. Murayama, and N. Logothetis, "Very slow activity fluctuations in monkey visual cortex: Implications for functional brain imaging.," Cereb. Cortex, vol. 13, pp. 422-433, Apr. 2003.
18. S. Thurner, E. Windischberger, C. Moser, P. Walla, and M. Barth, "Scaling laws and persistence in human brain activity," Physica A vol. 326, pp. 511-521, 2003.
19. V. Maxim, L. Sendur, J. Fadili, J. Suckling, R. Gould, R. Howard, and E. Bullmore, "Fractional Gaussian noise, functional MRI and Alzheimer's disease," NeuroImage, vol. 25, pp. 141-158, Mar. 2005.
20. K. Linkenkaer-Hansen, S. Monto, H. Rytsala, K. Suominen, E. Isometsa, and S. Kahkonen, "Breakdown of long-range temporal correlations in theta oscillations in patients with major depressive disorder.," J. Neurosci., vol. 25, pp. 10131-10137, Nov. 2005.
21. Y. Shimizu, M. Barth, C. Windischberger, E. Moser, and S. Thurner, "Wavelet-based multifractal analysis of fMRI time series.," NeuroImage, vol. 22, pp. 1195-1202, Jul. 2004.
22. A. Arneodo, E. Bacry, and J. Muzy, "Solving the inverse fractal problem from wavelet analysis," Europhys. Lett., vol. 25, p. 479, 1993.
23. J.-F. Muzy, E. Bacry, and A. Arneodo, "Multifractal formalism for fractal signals. The structure function method versus the wavelet transform modulus maxima method," Phys. Rev. E, vol. 47, pp. 875-884, 1993.
24. J. Lee, J. Hu, J. Gao, K. White, B. Crosson, C. Wierenga, K. McGregor, and K. Peck, "Identification of brain activity by fractal scaling analysis of functional MRI data," in Proc. 30th IEEE ICASSP, Philadelphia, PA, May 2005, vol. II, pp. 137-140.
25. M.-E. Torres and P. Abry, A. Cordoba, Ed., "Comparison of different methods for computing scaling parameter in the presence of trends," in Proc. 14th BioIngineering Argentin Congr., 2003.
26. A. Arneodo, B. Audit, N. Decoster, J.-F. Muzy, and C. Vaillant, A. Bunde, J. Kropp, and H. J. Schellnhuber, Eds., "Wavelet-based multifractal formalism: Applications to dna sequences, satellite images of the cloud structure and stock market data," in Sci. Disasters, 2002, pp. 27-102, vol..
27. S. Jaffard, M. Lapidus et and M. van Frankenhuijsen, Eds., "Wavelet techniques in multifractal analysis," in Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot, 2004, vol. 72, no. 2, pp. 91-152, Proc. Symp.Pure Mathematics, AMS.
28. P. Abry, P. Flandrin, M. Taqqu, and D. Veitch, K. Park and W. Willinger, Eds., "Wavelets for the analysis, estimation and synthesis of scaling data," in Self-Similar Network Traffic and Performance Evaluation Spring 2000. New York: Wiley, 2000.
29. C. Rabrait, P. Ciuciu, A. Ribés, C. Poupon, P. Leroux, V. Lebon, G. Dehaene-Lambertz, D. L. Bihan, and F. Lethimonnier, "High temporal resolution functional MRI using parallel echo volume imaging," J. Magn. Reson. Imag., vol. 27, pp. 744-753, Mar. 2008.
30. P. Abry, P. Gonçalvès, and P. Flandrin, A. Antoniadis and G. Oppenheim, Eds., "Wavelets, spectrum analysis and 1/f processes," in Lecture Notes in Statistics: Wavelets and Statistics, 1995, vol. 103, pp. 15-29.
31. A. M. Smith, B. K. Lewis, U. E. Ruttimann, F. Q. Ye, T. M. Sinnwell, Y. Yang, J. H. Duyn, and J. A. Frank, "Investigation of low frequency drift in FMRI signal," NeuroImage, vol. 9, pp. 526-533, May 1999.
32. P. Abry and D. Veitch, "Wavelet analysis of long-range dependent traffic," IEEE Trans. Inform. Theory, vol. 44, no. 1, pp. 2-15, Jan. 1998.
33. D. Veitch and P. Abry, "A wavelet-based joint estimator of the parameters of long-range dependence," IEEE Trans. Inform. Theory, vol. 45, no. 3, pp. 878-897, Apr. 1999.
34. D. Veitch and P. Abry, "A statistical test for the time constancy of scaling exponents," IEEE Trans. Signal. Process., vol. 49, no. 10, pp. 2325-2334, Oct. 2001.
35. P. Abry, R. Baraniuk, P. Flandrin, R. Riedi, and D. Veitch, "Multiscale nature of network traffic," IEEE Signal Process. Mag., vol. 19, no. 3, pp. 28-46, May 2002.
36. G. Samorodnitsky and M. Taqqu, Stable Non-Gaussian Random Processes New York: Chapman and Hall, 1994.
37. R. H. Riedi, Doukhan, Oppenheim, and Taqqu, Eds., "Multifractal processes," in Theory and Applications of Long Range Dependence, 2003, pp. 625-716.
38. S. Mallat, A Wavelet Tour of Signal Processing. San Diego, CA: Academic, 1998.
39. H. Wendt, P. Abry, and S. Jaffard, "Bootstrap for empirical multifractal analysis," IEEE Signal Process. Mag., vol. 24, no. 4, pp. 38-48, Jul. 2007.
40. S. Jaffard, B. Lashermes, and P. Abry, T. Qian, M. I. Vai, and X. Yuesheng, Eds., "Wavelet leaders in multifractal analysis," in Wavelet Analysis and Applications. Basel, Switzerland: Birkhauser Verlag, 2006, pp. 219-264.
41. B. Castaing, Y. Gagne, and M. Marchand, "Log-similarity for turbulent flows," Phys. D, vol. 68, pp. 387-400, 1993.
42. H. Wendt, S. Roux, and P. Abry, "Bootstrap for log wavelet cumulant based multifractal analysis," in Proc. EUSIPCO, Firenze, Italy, 2006.
43. P. Mansfield, "Multi-planar image formation using NMRspin-echoes," J. Phys. C: Solid State Phys., vol. 10, pp. L55-L58, 1977.
44. P. Mansfield, R. Coxon, and J. Hykin, "Echo-volumar imaging (EVI) of the brain at 3.0T: First normal volunteer and functional imaging results," J. Comput. Assis. Tomog., vol. 19, pp. 847-852, 1995.
45. W. van der Zwaag, S. Francis, and R. Botwell, "Improved echo volumar imaging (EVI) for functional MRI," Magn. Reson. Med., vol. 56, pp. 1320-1327, 2006.
46. F. Lin, T.-Y. Huang, N.-K. Chen, F.-N. Wang, S. M. Stufflebeam, J. Belliveau, L. Wald, and K. Kwong, "Functional MRI using regularized parallel imaging acquisition," Magn. Reson. Med., vol. 54, pp. 343-353, 2005.
47. A. Ribés, C. Poupon, C. Rabrait, D. Le Bihan, and F. Lethimonnier, "Tikhonov regularisation optimisation for PreLearn: Effects on the detection of activation in functional MRI," in Proc. 15th ISMRM, Berlin, Germany, 2007, p. 1757.
48. K. F. King, "SENSE image quality improvement using matrix regularization," in Proc. 9th ISMRM, Glasgow, U.K., 2001, p. 1771.
49. N. Huang, Z. Shen, S. Long, M. Wu, H. Shih, Q. Zheng, N. Yen, C. Tung, and H. Liu, "The empirical mode decomposition and the hilbert spectrum for nonlinear and non-stationary time series analysis," Proc. Roy. Soc. Lond. A, vol. 454, pp. 903-995, 1998.
50. P. Flandrin and P. Gonçalves, "Empirical mode decomposition as datadriven wavelet-like expansions," Int. J. Wav. Multires. Info. Proc., vol. 2, pp. 477-496, Dec. 2004.
51. S. Mériaux, A. Roche, G. Dehaene-Lambertz, B. Thirion, and J.-B. Poline, "Combined permutation test and mixed-effect model for group average analysis in fMRI.," Hum. Brain Mapp., vol. 27, pp. 402-410, May 2006.
52. T. Nichols and S. Hayasaka, "Controlling the familywise error rate in functional neuroimaging: A comparative review," Statist. Methods Med. Res., vol. 12, pp. 419-446, 2003.
53. G. Dehaene-Lambertz, S. Dehaene, J.-L. Anton, A. Campagne, P. Ciuciu, G. P. Dehaene, I. Denghien, A. Jobert, D. Le Bihan, M. Sigman, C. Pallier, and J.-B. Poline, "Functional segregation of cortical language areas by sentence repetition," Hum. Brain Mapp., vol. 27, pp. 360-371, 2006.
54. B. Biswal, F. Z. Yetkin, V. M. Haughton, and J. S. Hyde, "Functional connectivity in the motor cortex of resting human brain using echoplanar MRI," Magn. Reson. Med., vol. 34, pp. 537-541, 1995.
55. G. Tononi, G. Edelman, and O. Sporns, "Complexity and coherency: Integrating information in the brain," Trends in Cog. Neurosci., vol. 2, pp. 474-484, 1998.
56. J. S. Damoiseaux, S. A. R. B. Rombouts, F. Barkhof, P. Scheltens, C. J. Stam, S. M. Smith, and C. F. Beckmann, "Consistent resting-state networks across healthy subjects," Proc. Nat. Acad. Sci. USA, vol. 103, pp. 13848-13853, Sep. 2006.
57. V. El Kouby, Y. Cointepas, C. Poupon, D. Rivière, N. Golestani, J.-B. Poline, D. L. Bihan, and J.-F. Mangin, "Mr diffusion-based inference of a fiber bundle model from a population of subjects," in MICCAI'05 2005, pp. 196-204.
58. M. D. Fox, A. Z. Snyder, J. M. Zacks, and M. E. Raichle, "Coherent spontaneous activity accounts for trial-to-trial variability in human evoked brain responses," Nat. Neurosci., vol. 9, pp. 23-25, Jan. 2006.
59. M. D. Fox, A. Z. Snyder, J. L. Vincent, and M. E. Raichle, "Intrinsic fluctuations within cortical systems account for intertrial variability in human evoked brain responses," Proc. Nat. Acad. Sci. USA, vol. 56, pp. 171-184, Oct. 2007.
60. D. A. Fair, N. U. F. Dosenbach, J. A. Church, A. L. Cohen, S. Brahmbhatt, F. M. Miezin, D. M. Barch, M. E. Raichle, S. E. Petersen, and B. L. Schlaggar, "Development of distinct control networks through segregation and integration.," Proc. Nat. Acad. Sci. USA, vol. 104, pp. 13507-13512, Aug. 2007.
61. D. Cordes, V. M. Haughton, K. Arfanakis, G. J.Wendt, P. A. Turski, C. H. Moritz, M. A. Quigley, and M. E. Meyerand, "Mapping functionally related regions of brain with functional connectivity MRimaging," Amer. J. Neuroradiol., vol. 21, pp. 1636-1644, Sep. 2000.
62. P.-J. Lahaye, J.-B. Poline, G. Flandin, S. Dodel, and L. Garnero, "Functional connectivity: Studying non-linear, delayed interactions between BOLD signal," NeuroImage, vol. 20, pp. 962-974, 2003.
63. A. Roebroeck, E. Formisano, and R. Goebel, "Mapping directed influence over the brain using granger causality and fmri.," NeuroImage, vol. 25, pp. 230-242, Mar. 2005.
64. V. Perlbarg, P. Bellec, J.-L. Anton, M. Plgrini-Issac, J. Doyon, and H. Benali, "CORSICA: Correction of structured noise in fMRI by automatic identification of ICA components," Magn. Reson. Imag., vol. 25, pp. 35-46, Jan. 2007.
65. D. Cordes, V. Haughton, J. Carew, K. Arfanakis, and K. Maravilla, "Hierarchical clustering to measure connectivity in fMRI resting-state data.," Magn. Reson. Imag., vol. 20, pp. 305-317, 2002.
66. M. Voultsidou, S. Dodel, and J. Herrmann, "Neural networks approach to clustering of activity in fMRI data," IEEE Trans. Med. Imag., vol. 24, no. 8, pp. 987-996, Aug. 2005.