A nonlinear BOLD model accounting for refractory effect by applying the longitudinal relaxation in NMR to the linear BOLD model

Magnetic Resonance Imaging

Volumn 27, Issue 7, 2009, Pages 907-912

  Jung, Kwan Jin ^a,b  

^a UNIVERSITY OF PITTSBURGH   (United States)

^b University of Pittsburgh   (United States)

Author keywords

Gamma variate function; Nonlinear BOLD model; Refractory effect; Relaxation

Indexed keywords

ARTICLE; BLOOD OXYGENATION; BRAIN BLOOD FLOW; BRAIN OXYGEN CONSUMPTION; BRAIN SIZE; CLINICAL EFFECTIVENESS; FUNCTIONAL MAGNETIC RESONANCE IMAGING; IMAGE ANALYSIS; MATHEMATICAL MODEL; NEUROPHYSIOLOGY; NONLINEAR SYSTEM; PRIORITY JOURNAL; REFRACTORY PERIOD; RELAXATION TIME; REPRODUCIBILITY;

ALGORITHMS; BRAIN MAPPING; COMPUTER SIMULATION; EVOKED POTENTIALS, MOTOR; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MAGNETIC RESONANCE IMAGING; MAGNETIC RESONANCE SPECTROSCOPY; MODELS, NEUROLOGICAL; MOTOR CORTEX; MOVEMENT; NONLINEAR DYNAMICS; OXYGEN CONSUMPTION; REFRACTORY PERIOD, ELECTROPHYSIOLOGICAL; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 68349154077     PISSN: 0730725X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mri.2009.02.005     Document Type: Article

References (40)

1. Vazquez A.L., and Noll D.C. Nonlinear aspects of the BOLD response in functional MRI. NeuroImage 7 (1998) 108-118
2. Robson M.D., Dorosz J.L., and Gore J.C. Measurements of the temporal fMRI response of the human auditory cortex to trains of tones. NeuroImage 7 (1998) 185-198
3. Rees G., Howseman A., Josephs O., Frith C.D., Friston K.J., Frackowiak R.S., et al. Characterizing the relationship between BOLD contrast and regional cerebral blood flow measurements by varying the stimulus presentation rate. NeuroImage 6 (1997) 270-278
4. Boynton G.M., Engel S.A., Glover G.H., and Heeger D.J. Linear systems analysis of functional magnetic resonance imaging in human V1. J Neurosci 16 (1996) 4207-4221
5. Glover G.H. Deconvolution of impulse response in event-related BOLD fMRI. NeuroImage 9 (1999) 416-429
6. Nakai T., Matsuo K., Kato C., Takehara Y., Isoda H., Moriya T., et al. Post-stimulus response in hemodynamics observed by functional magnetic resonance imaging-difference between the primary sensorimotor area and the supplementary motor area. Magn Reson Imaging 18 (2000) 1215-1219
7. Soltysik D.A., Peck K.K., White K.D., Crosson B., and Briggs R.W. Comparison of hemodynamic response nonlinearity across primary cortical areas. NeuroImage 22 (2004) 1117-1127
8. Cannestra A.F., Pouratian N., Shomer M.H., and Toga A.W. Refractory periods observed by intrinsic signal and fluorescent dye imaging. J Neurophysiol 80 (1998) 1522-1532
9. Huettel S.A., and McCarthy G. Evidence for a refractory period in the hemodynamic response to visual stimuli as measured by MRI. NeuroImage 11 (2000) 547-553
10. Logothetis N.K., Pauls J., Augath M., Trinath T., and Oeltermann A. Neurophysiological investigation of the basis of the fMRI signal. Nature 412 (2001) 150-157
11. Miller K.L., Luh W.M., Liu T.T., Martinez A., Obata T., Wong E.C., et al. Nonlinear temporal dynamics of the cerebral blood flow response. Hum Brain Mapp 13 (2001) 1-12
12. Buxton R.B., Wong E.C., and Frank L.R. Dynamics of blood flow and oxygenation changes during brain activation: the balloon model. Magn Reson Med 39 (1998) 855-864
13. Hoogenraad F.G., Pouwels P.J., Hofman M.B., Reichenbach J.R., Sprenger M., and Haacke E.M. Quantitative differentiation between BOLD models in fMRI. Magn Reson Med 45 (2001) 233-246
14. Zheng Y., Martindale J., Johnston D., Jones M., Berwick J., and Mayhew J. A model of the hemodynamic response and oxygen delivery to brain. NeuroImage 16 (2002) 617-637
15. Donahue M., Stevens R., de Boorder M., Pekar J., and van Zijl P. Post-stimulus fMRI changes in cerebral blood flow, volume and oxygenation following visual stimulation and breath-hold provide evidence for the hemodynamic response being neurotransmitter-mediated. Book of Abstracts: Sixteenth Annual Meeting of the Society of Magnetic Resonance in Medicine (2008), SMRM, Berkeley (Calif) 215
16. Frahm J., Baudewig J., Kallenberg K., Kastrup A., Merboldt D., and Dechent P. The post-stimulation undershoot in BOLD fMRI of human brain is not caused by elevated cerebral blood volume. Book of Abstracts: Sixteenth Annual Meeting of the Society of Magnetic Resonance in Medicine (2008), SMRM, Berkeley (Calif) 217
17. Frahm J., Kruger G., Merboldt K.D., and Kleinschmidt A. Dynamic uncoupling and recoupling of perfusion and oxidative metabolism during focal brain activation in man. Magn Reson Med 35 (1996) 143-148
18. Lu H., Golay X., Pekar J.J., and Van Zijl P.C. Sustained poststimulus elevation in cerebral oxygen utilization after vascular recovery. J Cereb Blood Flow Metab 24 (2004) 764-770
19. 2: the arterial balloon model. Book of Abstracts: Sixteenth Annual Meeting of the Society of Magnetic Resonance in Medicine (2008), SMRM, Berkeley (Calif) 2350
20. Anderson J.R., Qin Y., Stenger V.A., and Carter C.S. The relationship of three cortical regions to an information-processing model. J Cogn Neurosci 16 (2004) 637-653
21. Cohen M.S. Parametric analysis of fMRI data using linear systems methods. NeuroImage 6 (1997) 93-103
22. Dale A., and Buckner R. Selective averaging of rapidly presented individual trials using fMRI. Human brain mapping 5 (1997) 329-340
23. Friston K.J., Josephs O., Rees G., and Turner R. Nonlinear event-related responses in fMRI. Magn Reson Med 39 (1998) 41-52
24. Obata T., Liu T.T., Miller K.L., Luh W.M., Wong E.C., Frank L.R., et al. Discrepancies between BOLD and flow dynamics in primary and supplementary motor areas: application of the balloon model to the interpretation of BOLD transients. NeuroImage 21 (2004) 144-153
25. Jung K. A nonlinear BOLD model based on bipolar gamma variate function with refractory effect and neural adaptation. Proceedings of the12th Annual Meeting of Human Brain Mapping (2006), The Organization for Human Brain Mapping, Florence, Italy 259
26. Bloch F. Nuclear induction. Phys Rev 70 (1946) 460-474
27. Haacke E.M., Brown R.W., Thompson M.R., and Venkatesan R. Magnetic resonance imaging physical principles and sequence design (1999), John Wiley & Sons Inc, New York
28. Mandeville J.B., Marota J.J., Kosofsky B.E., Keltner J.R., Weissleder R., Rosen B.R., et al. Dynamic functional imaging of relative cerebral blood volume during rat forepaw stimulation. Magn Reson Med 39 (1998) 615-624
29. Lindauer U., Royl G., Leithner C., Kuhl M., Gold L., Gethmann J., et al. No evidence for early decrease in blood oxygenation in rat whisker cortex in response to functional activation. NeuroImage 13 (2001) 988-1001
30. Cannestra A.F., Pouratian N., Bookheimer S.Y., Martin N.A., Beckerand D.P., and Toga A.W. Temporal spatial differences observed by functional MRI and human intraoperative optical imaging. Cereb Cortex 11 (2001) 773-782
31. Kennan R.P., Scanley B.E., Innis R.B., and Gore J.C. Physiological basis for BOLD MR signal changes due to neuronal stimulation: separation of blood volume and magnetic susceptibility effects. Magn Reson Med 40 (1998) 840-846
32. Harel N., Lee S.P., Nagaoka T., Kim D.S., and Kim S.G. Origin of negative blood oxygenation level-dependent fMRI signals. J Cereb Blood Flow Metab 22 (2002) 908-917
33. Mandeville J.B. CBV functional imaging in rat brain using iron oxide agent at steady state concentration. Book of Abstracts: Fourth Annual Meeting of the Society of Magnetic Resonance in Medicine (1996), SMRM, Berkeley (Calif) 292
34. Lu H., Golay X., Pekar J.J., and Van Zijl P.C. Functional magnetic resonance imaging based on changes in vascular space occupancy. Magn Reson Med 50 (2003) 263-274
35. Papoulis A. Probability, random variables, and stochastic processes (1965), McGraw-Hill
36. Madsen M.T. A simplified formulation of the gamma variate function. Phys Med Biol 37 (1992) 1597-1600
37. Friston K.J., Jezzard P., and Turner R. Analysis of functional MRI time-series. Human Brain Mapping 1 (1994) 153-171
38. Gangstead S.L., and Song A.W. On the timing characteristics of the apparent diffusion coefficient contrast in fMRI. Magn Reson Med 48 (2002) 385-388
39. Ugurbil K., Adriany G., Andersen P., Chen W., Gruetter R., Hu X., et al. Magnetic resonance studies of brain function and neurochemistry. Annu Rev Biomed Eng 2 (2000) 633-660
40. Mandeville J.B., Marota J.J., Ayata C., Zaharchuk G., Moskowitz M.A., Rosen B.R., et al. Evidence of a cerebrovascular postarteriole windkessel with delayed compliance. J Cereb Blood Flow Metab 19 (1999) 679-689