Characterizing the functional MRI response using Tikhonov regularization

Statistics in Medicine

Volumn 26, Issue 21, 2007, Pages 3830-3844

  Vakorin, Vasily A ^a,c   Borowsky, Ron ^a,b   Sarty, Gordon E ^a  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

^b UNIVERSITY OF SASKATCHEWAN   (Canada)

^c NONE   (Canada)

Author keywords

Functional MRI; Regularization; Smoothing

Indexed keywords

BRAIN EXTRACT;

BEHAVIOR; BIOSTATISTICS; CLINICAL EVALUATION; CONFERENCE PAPER; CORRELATION ANALYSIS; DATA ANALYSIS; HEMODYNAMICS; IMAGE QUALITY; MATHEMATICAL ANALYSIS; NUCLEAR MAGNETIC RESONANCE IMAGING; PERFORMANCE MEASUREMENT SYSTEM; REACTION TIME; REGRESSION ANALYSIS; SIGNAL NOISE RATIO; VALIDATION PROCESS; WHITE NOISE;

DATA INTERPRETATION, STATISTICAL; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; MAGNETIC RESONANCE IMAGING; MODELS, STATISTICAL; SASKATCHEWAN;

EID: 34548431828     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.2981     Document Type: Conference Paper

References (37)

1. Friston KJ, Fletcher P, Josephs O, Holmes A, Rugg MD, Turner R. Event-related fMRI: characterizing differential responses. Neuroimage 1998; 7(1):30-40.
2. Frackowiak RSJ, Friston KJ, Frith CD, Dolan RJ, Mazziotta JC. Human Brain Function. Academic Press: Toronto, Ont., 1997.
3. Sarty GE, Borowsky R. Functional MRI activation maps from empirically defined curve fitting. Concepts in Magnetic Resonance Part B 2005; 24B(1):46-55.
4. Clare S, Humberstone M, Hykin J, Blumhardt LD, Bowtell R, Morris P. Detecting activations in event-related fMRI using analysis of variance. Magnetic Resonance in Medicine 1999; 42(6): 1117-1122.
5. Menon RS, Luknowsky DC, Gati JS. Mental chronometry using latency-resolved functional MRI. Proceedings of the National Academy of Sciences of the United States of America 1998; 95(18):10902-10907.
6. Liu HL, Liao WT, Fang SY, Chu TC, Tan LH. Correlation between temporal response of fMRI and fast reaction time in a language task. Magnetic Resonance Imaging 2004; 22(4):451-455.
7. Ramsay JO, Silverman BW. Applied Functional Data Analysis. Springer: Berlin, 2002.
8. Friston KJ, Holmes AP, Poline JB, Grasby PJ, Williams SC, Frackowiak RS, Turner R. Analysis of fMRI time-series revisited. Neuroimage 1995; 2(1):173-181.
9. Friston KJ, Holmes AP, Worsley KJ, Poline JB, Frith CD, Frackowiak RSJ. Statistical parametric maps in functional imaging: a general linear approach. Human Brain Mapping 1995; 2(3):189-210.
10. Worsley KJ, Friston KJ. Analysis of fMRI time-series revisited-again. Neuroimage 1995; 2(3):173-181.
11. Bullmore E, Brammer M, Williams SC, Rabe-Hesketh S, Janot N, David A, Mellers J, Howard R, Sham P. Statistical methods of estimation and inference for functional MR image analysis. Magnetic Resonance in Medicine 1996; 35(2):261-277.
12. Friston KJ, Josephs O, Zarahn E, Holmes AP, Rouquette S, Poline J. To smooth or not to smooth? Bias and efficiency in fMRI time-series analysis. Neuroimage 2000; 12(2): 196-208.
13. Eubank RL. Spline Smoothing and Nonparametric Approximation. Marcel Dekker: New York, 1988.
14. Wahba G. Spline Models for Observational Data. SIAM: Philadelphia, PA, 1990.
15. Lavarello R, Kamalabadi F, O'Brien Jr WD. A regularized inverse approach to ultrasonic pulse-echo imaging. IEEE Transactions on Medical Imaging 2006; 25(6):712-722.
16. Graham BM, Adler A. Objective selection of hyperparameter for EIT. Physiological Measurement 2006; 27(5): S65-S79.
17. Sourbron S, Luypaert R, Van Schuerbeek P, Dujardin M, Stadnik T. Choice of the regularization parameter for perfusion quantification with MRI. Physics in Medicine and Biology 2004; 49(14):3307-3324.
18. Lu HH, Chen CM, Yang IH. Cross-reference weighted least square estimates for positron emission tomography. IEEE Transactions on Medical Imaging 1998; 17(1):1-8.
19. DeYoe EA, Bandettini P, Neitz J, Miller D, Winans P. Functional magnetic resonance imaging (fMRI) of the human brain. Journal of Neuroscience Methods 1994; 54(2):171-187.
20. de Boor C. A Practical Guide to Splines. Springer: Berlin, 1978.
21. Zarahn E, Aguirre GK, D'Esposito M. Empirical analyses of BOLD fMRI statistics. I. Spatially unsmoothed data collected under null-hypothesis conditions. Neuroimage 1997; 5(3):179-197.
22. Chanmond B. Modeling and Inverse Problems in Image Analysis. Springer: Berlin, 2003.
23. Goutte C, Nielsen FA, Hansen LK. Modeling the haemodynamic response in fMRI using smooth FIR filters. IEEE Transactions on Medical Imaging 2000; 19(12):1188-1201.
24. Craven P, Wahba G. Smoothing noisy data with spline smoothing. Numerische Mathematik 1979; 31:377-403.
25. Davies N, Triggs CM, Newbold P. Significance level of the Box-Piece portmanteau statistics in finite samples. Biometrica 1977; 64:517-522.
26. Ljung GM, Box GEP. On a measure of lack of fit in time series models. Biometrika 1978; 65(2):297-303.
27. Borowsky R, Owen WJ, Sarty GE. The role of the left hemisphere in motor control of touch: a functional magnetic resonance imaging analysis. Brain and Cognition 2002; 49(1):96-101.
28. Carnicer JM, Pena JM. Totally positive bases for shape preserving curve design and optimality of B-splines. Computer Aided Geometric Design 1994; 11(6):633-654.
29. Harel N, Lee SP, Nagaoka T, Kim DS, Kim SG. Origin of negative blood oxygenation level-dependent fMRI signals. Journal of Cerebral Blood Flow and Metabolism 2002; 22(8):908-917.
30. Shmuel A, Augath M, Oeltermann A, Logothetis NK. Negative functional MRI response correlates with decreases in neuronal activity in monkey visual area V1. Nature Neuroscience 2006; 9(4):569-577.
31. Buxton RB, Wong EC, Frank LR. Dynamics of blood flow and oxygenation changes during brain activation: the balloon model. Magnetic Resonance in Medicine 1998; 39(6):855-864.
32. Ogawa S, Menon RS, Kim SG, Ugurbil K. On the characteristics of functional magnetic resonance imaging of the brain. Annual Review of Biophysics and Biomolecular Structure 1998; 27:447-474.
33. Buxton RB. The elusive initial dip. Neuroimage 2001; 13:953-958.
34. Yacoub E, Shmuel A, Pfeuffer J, Van De Moortele PF, Adriany G, Andersen P, Vaughan JT, Merkle H, Ugurbil K, Hu X. Imaging brain function in humans at 7 Tesla. Magnetic Resonance in Medicine 2001; 45(4):588-594.
35. Handwerker DA, Ollinger JM, D'Esposito M. Variation of BOLD hemodynamic responses across subjects and brain regions and their effects on statistical analyses. Neuroimage 2004; 21(4):1639-1651.
36. Carew JD, Wahba G, Xie X, Nordheim EV, Meyerand ME. Optimal spline smoothing of fMRI time series by generalized cross-validation. Neuroimage 2003; 18(4):950-961.
37. Gu C. Smoothing Spline ANOVA Models. Springer: Berlin, 2002.