Abstract
Today, most studies of cognitive processes using functional MRI (fMRI)experiments adopt highly flexible stimulation designs, where not only the activation amount but also the time course of the measured hemodynamic response is of interest. The measured signal only indirectly reflects the underlying neuronal activation, and is understood as being convolved with a hemodynamic modulation function. An approach to better allow inferences about the neuronal activation is given by modeling this convolution process. In this study, we investigate this approach and discuss computational models for the hemodynamic response. An analysis of a recent fMRI experiment underlines the usefulness of this approach.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Belliveau, J.W., Kennedy, D.N., McKinstry, R.C., Buchbinder, B.R., Weisskoff, R.M., Cohen, M.S., Vevea, J.M., Brady, T.J., Rosen, B.R.: Functional mapping of the human visual cortex by magnetic resonance imaging. Science 254 (1991) 716–719
Vilringer, A., Dirnagl, U.: Coupling of brain activity and cerebral blood flow: basis of functional neuroimaging. Cerebrovascular and Brain Metabolism Review 7 (1995) 240–276
Friston, K.J., Holmes, A.P., Worsley, K.J., Poline, J.B., Williams, C.R., Frackowiak, R.S.J.: Analysis of functional MRI time-series. Human Brain Mapping 1 (1994) 153–171
Kim, S.G., Richter, W., Ugurbil, K.: Limitations of temporal resolution in functional MRI. Magnetic Resonance in Medicine 37 (1997) 631–636
Lange, N., Zeger, S.L.: Nonlinear Fourier time series analysis for human brain mapping by functional magnetic resonance imaging. Journal of the Royal Statistical Society: Applied Statistics 46 (1997) 1–29
Cohen, M.S.: Parametric analysis of fMRI data using linear systems methods. Neuroimage 6 (1997) 93–103
Friston, K.J., Josephs, O., Rees, G., Turner, R.: Nonlinear event-related responses in fMRI. Magnetic Resonance in Medicine 39 (1998) 41–52
Rajapakse, J.C., Kruggel, F., von Cramon, D.Y.: Modeling hemodynamic response for analysis of functional MRI time-series. Human Brain Mapping 6 (1998) 283–300
Kruggel, F., von Cramon, D.Y.: Modeling the hemodynamic response in single trial fMRI experiments. Magnetic Resonance in Medicine (in press)
Buckner, R.L., Koutstaal, W., Schacter, D.L., Dale, A.M., Rotte, R., Rosen, B.R.: Functional-anatomic study of episodic retrieval using fMRI (II). Neuroimage 7 (1998) 163–175
Gjedde, A.: The relation between brain function and cerebral blood flow and metabolism. In: Cerebrovascular disease. Lippincott-Raven, Philadelphia (1997)
Seber, G.A.F., Wild, C.G.: Nonlinear Regression. Wiley, New York (1989)
Widmark, E.M.P.: Studies in the concentration of indifferent narcotics in blood and tissues. Acta Medica Scandinavia 52 (1920) 87–164
Rescigno, A., Lambrecht, R.M., Duncan, C.C.: Mathematical models in the formulation of pharmacokinetic models. Lecture Notes in Biomathematics Vol. 48, Springer, Heidelberg (1983) 59–119
Bullmore, E., Brammer, M., Williams, S.C.R., Rabe-Hesketh, S., Janoth, N., David, A., Mellers, J., Howard, R., Sham, P.: Statistical methods of estimation and inference for functional MR image analysis. Magnetic Resonance in Medicine 35 (1996) 261–277
Benali, H., Buvat, I., Anton, J.L., Pelegrini, M., Di Paola, M., Bittoun, J., Burnod, Y., Di Paola, R.: Space-time statistical model for functional MRI image sequences. In: Information Processing in Medical Imaging (LCNS 1230). Springer, Heidelberg (1997) 285–298
Neumaier, A., Schneider, T.: Multivariate autoregressive and Ornstein-Uhlenbeck processes: estimates for order, parameters, spectral information, and confidence regions. ACM Transactions in Mathematical Software (in press)
Cressie, N.A.C.: Statistics for spatial data. Wiley, New York (1993)
Press, W.H., Flannery, B.P., Teukolsky, S.A., Vetterling, W.T.: Numerical recipes in C. Cambridge University Press, Cambridge (1992)
Shor, N.Z.: Minimization methods for nondifferentiable optimization. Springer Series in Computational Mathematics, Vol. 3. Springer, Heidelberg (1985)
Goldberg, G.E.: Genetic algorithms in search, optimization, and machine learning. Addison-Wesley, Reading (1989)
Cox, C., Ma, G.: Asymptotic confidence bands for generalized nonlinear regression models. Biometrics 51 (1995) 142–150
Hartley, H.O.: Exact confidence regions for the parameters in nonlinear regression laws. Biometrika 51 (1964) 347–353
Zysset, S., Pollmann, S., von Cramon, D.Y., Wiggins, C.J.: Retrieval from long term memory and working memory. In: Cognitive Neuroscience Society: 1998 Annual Meeting Abstract Program, MIT Press, Harvard (1998) 83
Kruggel, F., Descombes, X., von Cramon, D.Y.: Preprocessing of fMR datasets. In: Workshop on Biomedical Image Analysis (Santa Barbara), IEEE Computer Press, Los Alamitos (1998) 211–219
Friston, K.J., Worsley, K.J., Frackowiak, R.S.J., Mazziotta, J.C., Evans, A.C.: Assessing the significance of focal activations using their spatial extent. Human Brain Mapping 1 (1994) 210–220
Gjedde, A., Poulsen, P.H., Østergard, L.: Model of oxygen delivery predicts deoxygenation of hemoglobin. Neuroimage 7 (1998) S248
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kruggel, F., von Cramon, D.Y. (1999). Physiologically Oriented Models of the Hemodynamic Response in Functional MRI. In: Kuba, A., Šáamal, M., Todd-Pokropek, A. (eds) Information Processing in Medical Imaging. IPMI 1999. Lecture Notes in Computer Science, vol 1613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48714-X_22
Download citation
DOI: https://doi.org/10.1007/3-540-48714-X_22
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66167-2
Online ISBN: 978-3-540-48714-2
eBook Packages: Springer Book Archive