Detecting nonlinear dynamics of functional connectivity

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5369, Issue , 2004, Pages 227-237

  LaConte, Stephen ^a   Peltier, Scott ^a   Kadah, Yasser ^a   Ngan, Shing Chung ^b   Deshpande, Gopikrishna ^a   Hu, Xiaoping ^a  

^a EMORY UNIVERSITY SCHOOL OF MEDICINE   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Correlation analysis; Functional connectivity; Functional imaging; Magnetic resonance imaging; Nonlinear dynamics

Indexed keywords

BRAIN; ELECTROCARDIOGRAPHY; HEMODYNAMICS; MATHEMATICAL MODELS; NEUROLOGY; PHYSIOLOGY; RANDOM PROCESSES; SIGNAL TO NOISE RATIO; SPECTRUM ANALYSIS;

CORRELATION ANALYSIS; FUNCTIONAL CONNECTIVITY; FUNCTIONAL IMAGING;

MAGNETIC RESONANCE IMAGING;

EID: 3042544659     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.535804     Document Type: Conference Paper

References (21)

1. S. C. Strother, J. R. Anderson, K. A. Schaper, J. J. Sidtis, J.-S. Liow, R. P. Woods, and D. A. Rottenberg, "Principal component analysis and the scaled subprofile model compared to intersubject averaging and statistical parametric mapping. I. "Functional Connectivity" of the human motor system studied with [15O]water PET," J Cereb Blood Flow Metab 15, pp. 738-753, 1995.
2. K. J. Friston, C. D. Frith, P. F. Liddle, and R. S. J. Frackowiak, "Functional connectivity: The principal component analysis of large (PET) data sets," J Cereb Blood Flow Metab 13, pp. 153-171, 1993.
3. B. Biswal, F. Z. Yetkin, V. M. Haughton, and J. S. Hyde, "Functional connectivity in the motor cortex of resting human brain using echo-planar MRI," Magn Res Med 34, pp. 537-541, 1995.
4. M. J. Lowe, B. J. Mock, and J. A. Sorenson, "Functional connectivity in single and multislice echoplanar imaging using resting-state fluctuations," NeuroImage 7, pp. 119-132, 1998.
5. W. S. Pritchard and D. W. Duke, "Measuring chaos in the brain: A tutorial review of nonlinear dynamical EEG analysis," Intern J Neuroscience 67, pp. 31-80, 1992.
6. K. Narayanan, R. B. Govindan, and M. S. Gopinathan, "Unstable periodic orbits in human cardiac rhythms," Phys Rev E 57, pp. 4594-4603, 1998.
7. O. Fojt and J. Holcik, "Applying nonlinear dynamics to ECG signal processing," IEEE Eng Med Biol 17, pp. 96-101, 1998.
8. T. Elbert, B. Rockstroh, Z. J. Kowalik, M. Hoke, M. Molnar, J. E. Skinner, and N. Birbaumer, "Chaotic brain activity," EEG Suppl. 44, pp. 441-449, 1995.
9. N. Pradhan, P. K. Sadasivan, S. Chatterji, and D. N. Dutt, "Patterns of attractor dimensions of sleep EEG," Comput Biol Med 25, pp. 455-462, 1995.
10. M. Kobayashi and T. Musha, "1/f fluctuation of heartbeat period," IEEE Trans Biomed Engr, 29, pp. 456-457, 1982.
11. D. Hoyer, D. Kaplan, S. Friedrich, and M. Eiselt, "Determinism in bivariate cardiorespiratory phase-space sets," IEEE Eng Med Biol 17, pp. 26-31, 1998.
12. D. Kaplan, "Exceptional events as evidence for determinism," Physica D 73, pp. 38-48, 1994.
13. M. Dhamala, G. Pagnoni, K. Wiesenfeld, and G.S. Berns, "Measurements of brain activity complexity for varying mental loads," Physical Review E 65:041917, 2002.
14. X. Hu, T. H. Le, T. Parrish, and P. Erhard, "Retrospective estimation and correction of physiological fluctuation in functional MRI," Magn Reson Med 34, pp. 201-212, 1995.
15. B. Biswal, E. A. DeYoe, and J. S. Hyde, "Reduction of physiological fluctuations in fMRI using digital filters," Magn Reson Med 35, pp. 107-113, 1996.
16. P. P. Mitra, S. Ogawa, X. Hu, and K. Ugurbil, "The nature of spatio-temporal changes in cerebral hemodynamics as manifested in functional magnetic resonance imaging," Magn Reson Med 37, pp. 511-518, 1997.
17. J. Theiler, B. Galdrikian, A. Longtin, S. Eubank, and J.D. Farmer, "Using surrogate data to detect nonlinearity in time series," Casdagli, M. and Eubank, S. editors. In Nonlinear Prediction and Forecasting (Addison-Wesley, 1991).
18. L.Y. Cao, "Practical method for determining the minimum embedding dimension of a scalar time series," Physica D 110, pp. 43-50, 1997.
19. F.D. Abraham, "Nonlinear coherence in multivariate research: Invariants and the reconstruction of attractors. Nonlinear Dynamics," Psychology, and Life Sciences 1, pp. 7-33, 1997.
20. A.M. Albano, J. Muench, and C. Schwartz, "Singular value decomposition and the Grassberger-Procaccia algorithm," Phys. Rev. A 38A, pp. 3017-3026, 1988.
21. G. Kruger, and G. H. Glover, "Physiological noise in oxygenation-sensitive magnetic resonance imaging," Magn Reson Med 46, pp. 631-637, 2001.