Nonlinear Responses in fMRI: The Balloon Model, Volterra Kernels, and Other Hemodynamics

Bendat, 1990

Boynton, 1996, Linear systems analysis of functional magnetic resonance imaging in human V1, J. Neurosci., 16, 4207, 10.1523/JNEUROSCI.16-13-04207.1996

Buxton, 1997, A model for the coupling between cerebral blood flow and oxygen metabolism during neural stimulation, J. Cereb. Blood Flow Metab., 17, 64, 10.1097/00004647-199701000-00009

Buxton, 1998, Dynamics of blood flow and oxygenation changes during brain activation: The Balloon model, MRM, 39, 855, 10.1002/mrm.1910390602

Fliess, 1983, An algebraic approach to nonlinear functional expansions, IEEE Trans. Circuits Syst., 30, 554, 10.1109/TCS.1983.1085397

Friston, 1994, Analysis of functional MRI time series, Hum. Brain Mapp., 1, 153, 10.1002/hbm.460010207

Friston, 1995, Regulation of rCBF by diffusible signals: An analysis of constraints on diffusion and elimination, Hum. Brain Mapp., 3, 56, 10.1002/hbm.460030106

Friston, 1998, Nonlinear event-related responses in fMRI, MRM, 39, 41, 10.1002/mrm.1910390109

Grubb, 1974, The effects of changes in PCO2 on cerebral blood volume, blood flow and vascular mean transit time, Stroke, 5, 630, 10.1161/01.STR.5.5.630

Hoge, 1999, Linear coupling between cerebral blood flow and oxygen consumption in activated human cortex, Proc. Natl. Acad. Sci. USA, 96, 9403, 10.1073/pnas.96.16.9403

Irikura, 1994, Importance of nitric oxide synthase inhibition to the attenuated vascular responses induced by topical l-nitro-arginine during vibrissal stimulation, J. Cereb. Blood Flow Metab., 14, 45, 10.1038/jcbfm.1994.7

Mandeville, 1999, Evidence of a cerebrovascular postarteriole windkessel with delayed compliance, J. Cereb. Blood Flow Metab., 19, 679, 10.1097/00004647-199906000-00012

Mayhew, 1998, An evaluation of linear models analysis techniques for processing images of microcirculation activity, NeuroImage, 7, 49, 10.1006/nimg.1997.0311

Miller, 2000, Characterizing the dynamic perfusion response to stimuli of short duration, Proc. ISRM, 8, 580

Paulson, 1987, Does the release of potassium from astrocyte endfeet regulate cerebral blood?, Science, 237, 896, 10.1126/science.3616619

Talairach, 1988

Vazquez, 1996, Non-linear temporal aspects of the BOLD response in fMRI, Proc. Int. Soc. Magn. Res. Med., 3, S1765

Worsley, 1995, Analysis of fMRI time-series revisited—Again, NeuroImage, 2, 173, 10.1006/nimg.1995.1023