Abstract
Today, most studies of cognitive processes using functional magnetic resonance imaging (fMRI) adopt an event‐related experimental design. Highly flexible stimulation settings require new statistical models where not only the activation amount, but also the time course of the measured hemodynamic response is analyzed. It is possible to obtain statistically valid descriptions of single hemodynamic responses from a robust nonlinear estimation procedure. Focus is placed on the temporal behaviour of the hemodynamic response: relative temporal order, changes induced by modification of the experimental context, and interindividual differences. Example analyses from recent fMRI studies underline the usefulness of this approach. Hum. Brain Mapping 8:259–271, 1999. © 1999 Wiley‐Liss, Inc.
Keywords: fMRI, event‐related design, hemodynamic response, temporal analysis
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REFERENCES
- Bates D, Watts D. 1988. Nonlinear Regression Analysis and Its Applications. New York: Wiley‐Liss, Inc. [Google Scholar]
- Belliveau JW, Kennedy DN, McKinstry RC, Buchbinder BR, Weisskoff RM, Cohen MS, Vevea JM, Brady TJ, Rosen BR. 1991. Functional mapping of the human visual cortex by magnetic resonance imaging. Science 254:716–719. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=92054558&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Benali H, Buvat I, Anton JL, Pelegrini M, Di Paola M, Bittoun J, Burnod Y, Di Paola R. 1997. Space‐time statistical model for functional MRI image sequences In: Information Processing in Medical Imaging (LCNS 1230). Heidelberg: Springer. [Google Scholar]
- Buckner R, Bandettini R, O'Craven K, Savoy R, Petersen S, Raichle M, Rosen B. 1996. Detection of transient and distributed cortical activation during averaged single trials of a cognitive task using functional magnetic resonance imaging. Proc Natl Acad Sci USA 93:14878–14883. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=97121483&form=6&db=m&Dopt=r [DOI] [PMC free article] [PubMed] [Google Scholar]
- Buckner RL, Koutstaal W, Schacter DL, Wagner AD, Rosen BR. 1998. Functional‐anatomic study of episodic retrieval using fMRI (I). Neuroimage 7:151–162. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=98259945&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Buckner RL, Koutstaal W, Schacter DL, Dale AM, Rotte R, Rosen BR. 1998. Functional‐anatomic study of episodic retrieval using fMRI (II). Neuroimage 7:163–175. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=98259946&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Bullmore E, Brammer M, Williams SCR, Rabe‐Hesketh S, Janoth N, David A, Mellers J, Howard R, Sham P. 1996. Statistical methods of estimation and inference for functional MR Image analysis. Magn Reson Med 35:261–277. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=96208354&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Christensen R. 1991. Linear Models for Multivariate, Time Series, and Spatial Data. Heidelberg: Springer. [Google Scholar]
- Cohen MS. 1997. Parametric analysis of fMRI data using linear systems methods. Neuroimage 6:93–103. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=97479544&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Cox C, Ma G. 1995. Asymptotic confidence bands for generalized nonlinear regression models. Biometrics 51:142–150. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=95284230&form=6&db=m&Dopt=r [PubMed] [Google Scholar]
- Cressie NAC. 1993. Statistics for Spatial Data. New York: Wiley‐Liss, Inc. [Google Scholar]
- Dale AM, Buckner RL. 1997. Selective averaging of rapidly presented individual trials using fMRI. Hum Brain Mapp 5:329–340. [DOI] [PubMed] [Google Scholar]
- Ernst T, Henning J. 1994. Observation of fast response in functional MR. Magn Reson Med 32:146–149. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=94366277&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Friston KJ, Holmes AP, Worsley KJ, Poline JB, Williams CR, Frackowiak RSJ. 1994. Analysis of functional MRI time‐series. Hum Brain Mapp 1:153–171. [Google Scholar]
- Friston KJ, Worsley KJ, Frackowiak RSJ, Mazziotta JC, Evans AC. 1994. Assessing the significance of focal activations using their spatial extent. Hum Brain Mapp 1:210–220. [DOI] [PubMed] [Google Scholar]
- Friston KJ, Fletcher P, Josephs O, Holmes A, Rugg MD, Turner R. 1998. Event‐related fMRI: characterizing differential responses. Neuroimage 7:30–40. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=98167520&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Friston KJ, Josephs O, Rees G, Turner R. 1998. Nonlinear event‐related responses in fMRI. Magn Reson Med 39:41–52. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=98099273&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Gjedde A. 1997. The relation between brain function and cerebral blood flow and metabolism In: Cerebrovascular Disease. Philadelphia: Lippincott‐Raven. [Google Scholar]
- Griffith TD, Büchel C, Frackowiak RSJ, Patterson RD. 1998. Analysis of temporal structure in sound by the human brain. Nat Neurosci 1:422–427. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=99212267&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Hartley HO. 1964. Exact confidence regions for the parameters in nonlinear regression laws. Biometrika 51:347–353. [Google Scholar]
- Josephs O, Turner R, Friston KJ. 1997. Event‐related fMRI. Hum Brain Mapp 5:243–248. [DOI] [PubMed] [Google Scholar]
- Kim SG, Richter W, Ugurbil K. 1997. Limitations of temporal resolution in functional MRI. Magn Reson Med 37:631–636. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=97247966&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Kruggel F, Descombes X, von Cramon DY. 1998. Preprocessing of fMRI datasets. In: Workshop on Biomedical Image Analysis (Santa Barbara), Los Alamitos: IEEE Computer Press, pp 211–220.
- Kruggel F, von Cramon DY. 1999. Modeling the hemodynamic response in single trial fMRI experiments. Magn Reson Med (in press). [DOI] [PubMed] [Google Scholar]
- Kwong KK, Belliveau JW, Chesler DA, Goldberg IE, Kennedy DN, Weisskoff RM, Poncelet BP, Hoppel BE, Cohen MS, Turner R, Cheng H, Brady TJ, Rosen BR. 1992. Dynamic magnetic resonance imaging of the human brain activity during sensory stimulation. Proc Natl Acad Sci USA 89:5675–5679. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=92302304&form=6&db=m&Dopt=r [DOI] [PMC free article] [PubMed] [Google Scholar]
- Lange N, Zeger SL. 1997. Nonlinear Fourier time series analysis for human brain mapping by functional magnetic resonance imaging. J Roy Stat Soc Appl Stat 46:1–29. [Google Scholar]
- Lee AT, Glover GH, Meyer CH. 1995. Distribution of large venous vessels in time‐course spiral blood‐oxygen‐level‐dependent magnetic resonance functional neuroimaging. Magn Reson Med 33:601‐745–754. [DOI] [PubMed] [Google Scholar]
- Luknowsky DC, Thomas CG, Gati JS, Menon RS. 1998. Millisecond sequencing of neural activation in simple tasks determined by the BOLD fMRI neurovascular response. Neuroimage 6:S280. [Google Scholar]
- Menon RS, Ogawa S, Tank DW, Ugurbil K. 1993. 4 Tesla gradient recalled echo characteristics of photic stimulation‐induced signal changes in the human primary visual cortex. Magn Reson Med 30:380–386. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=94018546&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Meyer M, Friederici AD, von Cramon DY, Kruggel F, Wiggins CJ. 1998. Auditory sentence comprehension: different BOLD patterns modulated by task demands as revealed by a ‘single trial’ fMRI study. Neuroimage 7:S181. [Google Scholar]
- Neumaier A, Schneider T. 1998. Multivariate autoregressive and Ornstein‐Uhlenbeck processes: estimates for order, parameters, spectral information, and confidence regions. http://www.aos.princeton.edu/WWWPUBLIC/tapio/papers/arfit.html
- Ogawa S, Tank DW, Menon R, Ellermann JM, Kim SG, Merkle H, Ugurbil K. 1992. Intrinsic signal changes accompanying sensory stimulation: functional brain mapping with magnetic resonance imaging. Proc Natl Acad Sci USA 89:5951–5955. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=92335215&form=6&db=m&Dopt=r [DOI] [PMC free article] [PubMed] [Google Scholar]
- Piepgras U. 1977. Neuroradiologie. Stuttgart, Thieme. [Google Scholar]
- Press WH, Flannery BP, Teukolsky SA, Vetterling WT. 1992. Numerical recipes in C. Cambridge: Cambridge University Press. [Google Scholar]
- Rajapakse JC, Kruggel F, von Cramon DY. 1998. Modeling hemodynamic response for analysis of functional MRI time‐series. Hum Brain Mapp 6:283–300. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=98369889&form=6&db=m&Dopt=r [DOI] [PMC free article] [PubMed] [Google Scholar]
- Robson MD, Dorosz JL, Gore JC. 1998. Measurements of the temporal fMRI response of the human auditory cortex to trains of tones. Neuroimage 7:185–198. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=98259948&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Schacter DL, Buckner RL, Koutstaal W, Dale AM, Rosen BR. 1997. Late onset of anterior prefrontal activity during true and false recognition: an event‐related fMRI study. Neuroimage 6:259–269. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=98080650&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Seber GAF, Wild CG. 1989. Nonlinear Regression. New York: Wiley‐Liss, Inc. [Google Scholar]
- Singh M, Kim T, Khosla D. 1995. Separation of veins from activated brain tissue in functional magnetic resonance images at 1.5T. IEEE Trans Nucl Sci 42:1338–1341. [Google Scholar]
- Sorensen JA, Wang X. 1996. Problems in estimating hemodynamic response parameters from fMRI data. Hum Brain Mapp 4:265–272. [DOI] [PubMed] [Google Scholar]
- Vazquez AL, Noll DC. 1998. Nonlinear aspects of the BOLD response in functional MRI. Neuroimage 7:108–118. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=98219338&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Vazquez AL, Noll DC. 1998. Time‐invariant properties of the BOLD response. Neuroimage 7:S579. [DOI] [PubMed] [Google Scholar]
- Vilringer A, Dirnagl U. 1995. Coupling of brain activity and cerebral blood flow: basis of functional neuroimaging. Cerebr Brain Metab Rev 7:240–276. [PubMed] [Google Scholar]
- Walter E, Ponzatto L. 1997. Identification of Parametric Models. Heidelberg: Springer. [Google Scholar]
- Zarahn E, Aguirre G, D'Esposito M. 1997. A trial‐based experimental design for fMRI. Neuroimage 6:122–138. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=97479547&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Zatorre R. 1998. How do our brains analyze temporal structure in sound? Nat Neurosci 1:343–345. http://www.ncbi.nlm.nih.gov:80/htbin-post/Entrez/query?uid=99212253&form=6&db=m&Dopt=r [DOI] [PubMed] [Google Scholar]
- Zysset S, Pollmann S, von Cramon DY, Wiggins CJ. 1998. Retrieval from long term memory and working memory In: Cognitive Neuroscience Society: 1998 Annual Meeting Abstract Program. Harvard: MIT Press, p 83. [Google Scholar]