Using the wild bootstrap to quantify uncertainty in diffusion tensor imaging

Human Brain Mapping

Volumn 29, Issue 3, 2008, Pages 346-362

  Whitcher, Brandon ^a   Tuch, David S ^b,c   Wisco, Jonathan J ^b   Sorensen, A Gregory ^b   Wang, Liqun ^c  

^a HAMMERSMITH HOSPITAL   (United Kingdom)

^b MASSACHUSETTS GENERAL HOSPITAL   (United States)

^c NOVARTIS PHARMA AG   (Switzerland)

Author keywords

Bootstrap; Confidence interval; Diffusion tensor imaging; Fiber orientation; Fractional anisotropy

Indexed keywords

ANISOTROPY; ARTICLE; DIFFUSION TENSOR IMAGING; MATHEMATICAL MODEL; MONTE CARLO METHOD; NOISE; PRIORITY JOURNAL;

ADULT; BRAIN; BRAIN MAPPING; COMPUTER SIMULATION; DIFFUSION MAGNETIC RESONANCE IMAGING; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; MALE; MODELS, NEUROLOGICAL;

EID: 40649103454     PISSN: 10659471     EISSN: None     Source Type: Journal    
DOI: 10.1002/hbm.20395     Document Type: Article

References (36)

1. Anderson AW (2001): Theoretical analysis of the effects of noise on diffusion tensor imaging. Magn Reson Med 46:1174-1188.
2. Basford KE, Greenway DR, McLachlan GJ, Peel D (1997): Standard errors of fitted means under normal mixture models. Comput Stat 12:1-17.
3. Basser PJ, Mattiello J, LeBihan D (1994): Estimation of the effective self-diffusion tensor from the NMR spin echo. J Magn Reson 103:247-254.
4. Batchelor PG, Atkinson D, Hill DLG, Calamante F, Connelly A (2003): Anisotropic noise propagation in diffusion tensor MRI sampling schemes. Magn Reson Med 49:1143-1151.
5. Behrens TEJ, Woolrich MW, Jenkinson M, Johansen-Berg H, Nunes RG, Clare S, Matthews PM, Brady JM, Smith SM (2003): Characterization and propogation of uncertainty in diffusion-weighted MR imaging. Magn Reson Med 50:1077-1088.
6. Bose A, Chatterjee S (2002): Comparison of bootstrap and jackknife variance estimators in linear regression: Second order results. Stat Sin 12:575-598.
7. Davidson R, Flachaire E (2001): The wild bootstrap, tamed at last. Working Paper IER#1000, Queen's University.
8. Davison AC, Hinkley DV (1997): Bootstrap Methods and their Application. Cambridge, UK: Cambridge University Press.
9. Efron B (1981): Nonparametric estimates of standard error: The jackknife, the bootstrap and other methods. Biometrika 68:589-599.
10. Efron B, Tibshirani R (1993): An Introduction to the Bootstrap. New York: Chapman & Hall.
11. Flachaire E (2005): Bootstrapping heteroskedastic regression models: wild bootstrap vs. pairs bootstrap. Comput Stat Data Anal 49:361-376.
12. Hasan KM, Narayana PA (2003): Computation of the fractional anistropy and mean diffusivity maps without tensor decoding and diagonalization: Theoretical analysis and validation. Magn Reson Med 50:589-598.
13. Heim S, Hahn K, Sämann PG, Fahrmeir L, Auer DP (2004): Assessing DTI data quality using bootstrap analysis. Magn Reson Med 52:582-589.
14. Jones DK (2003): Determining and visualizing uncertainty in estimates of fiber orientation from diffusion tensor MRI. Magn Reson Med 49:7-12.
15. Jones DK (2004): The effect of gradient sampling schemes on measures derived from diffusion tensor MRI: A Monte Carlo study. Magn Reson Med 51:807-815.
16. Jones DK (2006): Tractography gone wild: Probabilistic tracking using the wild bootstrap. In Proceedings of the 14th Annual Meeting of ISMRM, Seattle, pp 435.
17. Jones DK, Basser PJ (2004): "Squashing peanuts and smashing pumpkins": How noise distorts diffusion-weighted MR data. Magn Reson Med 52:979-993.
18. Jones DK, Pierpaoli C (2005): Confidence mapping in diffusion tensor magnetic resonance imaging tractography using a bootstrap approach. Magn Reson Med 53:1143-1149.
19. Jones DK, Horsfield MA, Simmons A (1999a): Optimal strategies for measuring diffusion in anisotropic systems by magnetic resonance imaging. Magn Reson Med 42:515-525.
20. Jones DK, Simmons A, Williams SC, Horsfield MA (1999b): Non-invasive assessment of axonal fiber connectivity in the human brain via diffusion tensor MRI. Magn Reson Med 42:37-41.
21. Jones DK, Travis AR, Eden G, Pierpaoli C, Basser P (2005): PASTA: Pointwise assessment of streamline tractography attributes. Magn Reson Med 53:1462-1467.
22. Lazar M, Alexander AL (2005): Bootstrap white matter tractography (BOOT-TRAC). Neuroimage 24:524-532.
23. Liu RY (1988): Bootstrap procedure under some non-i.i.d. models. Ann Stat 16:1696-1708.
24. MacKinnon JG, White HL (1985): Some heteroskedasticity consistent covariance matrix estimators with improved finite sample properties. J Econometrics 21:53-70.
25. Mammen E (1993): Bootstrap and wild bootstrap for high dimensional linear models. Ann Stat 21:255-285.
26. O'Gorman RL, Jones DK (2005). How many bootstraps make a buckle? In Proceedings of the 13th Annual Meeting of ISMRM, Miami Beach, pp 225.
27. Pajevic S, Basser PJ (2003): Parametric and non-parametric statistical approaches in diffusion tensor magnetic resonance imaging. J Magn Reson 161:1-14.
28. Pajevic S, Pierpaoli C (1999): Color schemes to represent fiber orientation of anisotropic tissues from diffusion tensor data: Application to white matter fiber tract mapping in the human brain. Magn Reson Med 42:526-540.
29. Pierpaoli C, Basser P (1996): Toward a quantitative assessment of diffusion anisotropy. Magn Reson Med 36:893-906.
30. Pierpaoli C, Jezzard P, Basser PJ, Barnett A, Di Chiro G (1996): Diffusion tensor MR imaging of the human brain. Radiology 201:637-648.
31. Poonawalla AH, Zhou XJ (2004): Analytical error propogation in diffusion anisotropy calculations. J Magn Reson Imaging 19:489-498.
32. Salvador R, Peña A, Menon DK, Carpenter TA, Pickard JD, Bullmore ET (2005): Formal characterization and extension of the linearized diffusion tensor model. Hum Brain Mapp 24:144-155.
33. Skare S, Li T-Q, Nordell B, Ingvar M (2000): Noise considerations in the determination of diffusion tensor anisotropy. Magn Reson Imaging 18:659-669.
34. Tuch DS (2004): Q-ball imaging. Magn Reson Med 52:1358-1372.
35. Tuch DS, Reese TG, Wiegell MR, Makris N, Belliveau JW, Wedeen VJ (2002): High angular resolution diffusion imaging reveals intravoxel white matter fiber heterogeneity. Magn Reson Med 48:577-582.
36. Whitcher B, Tuch DS, Wang L (2005). The wild bootstrap to quantify variability in diffusion tensor MRI. In Proceedings of the 13th Annual Meeting of ISMRM, Miami Beach, pp 1333.