Spatio-temporal patterns of encephalographic signals during polyrhythmic tapping

Interactions between limbs play an essential role in the formation of coherent macroscopic configurations during the bimanual performance of rhythmic movements. To uncover possible cortical aspects of these interactions, we study the relation between magneto-encephalographic signals and behavioral data during polyrhythmic tapping. In general, an explicit description of the relevant couplings requires a reliable quantification of phenomena like frequency and phase locking. Therefore, we first discuss a new cross-spectral measure that allows for the determination of frequency-locked areas in spatio-temporal signals. Subsequently, we estimate the corresponding generalized phase dynamics based on a system of two non-linearly coupled self-sustaining oscillators. The implications of these results for quantitative estimates of the functional coupling between hands/cortical areas in terms of distinct regimes of phase locking are discussed.

[1]  W. Spijkers Effects of average movement velocity on reaction time and spatiotemporal accuracy in single-aiming and rapid-timing movement tasks. , 1989, Journal of motor behavior.

[2]  K. Mardia Statistics of Directional Data , 1972 .

[3]  J. Kelso,et al.  Phase transitions in spatiotemporal patterns of brain activity and behavior , 1995 .

[4]  Peter J. Beek,et al.  Bifurcations in Polyrhythmic Tapping: In Search of Farey Principles , 1991 .

[5]  Elizabeth Greenwell Yanik,et al.  Numerical Recipes in FORTRAN - The Art of Scientific Computing 2nd Ed. (W. H. Press, W. T. Vetterling, S. A. Teukolsky and B. P. Flannery) , 1994, SIAM Rev..

[6]  D. Tucker,et al.  EEG coherency. I: Statistics, reference electrode, volume conduction, Laplacians, cortical imaging, and interpretation at multiple scales. , 1997, Electroencephalography and clinical neurophysiology.

[7]  H. Haken,et al.  PHASE TRANSITIONS IN THE HUMAN BRAIN: SPATIAL MODE DYNAMICS , 1992 .

[8]  D. Jordan,et al.  Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers , 1979 .

[9]  A. Opstal Dynamic Patterns: The Self-Organization of Brain and Behavior , 1995 .

[10]  J. Hale,et al.  Methods of Bifurcation Theory , 1996 .

[11]  Richard H. Rand,et al.  1∶1 and 2∶1 phase entrainment in a system of two coupled limit cycle oscillators , 1984 .

[12]  D Deutsch,et al.  The generation of two isochronous sequences in parallel , 1983, Perception & psychophysics.

[13]  Jürgen Kurths,et al.  Analysing Synchronization Phenomena from Bivariate Data by Means of the Hilbert Transform , 1998 .

[14]  Peter J. Beek,et al.  Dynamical Models of Movement Coordination , 1995 .

[15]  A. Fuchs,et al.  A phase transition in human brain and behavior , 1992 .

[16]  H Shibasaki,et al.  Cortical activation during fast repetitive finger movements in humans: steady-state movement-related magnetic fields and their cortical generators. , 1998, Electroencephalography and clinical neurophysiology.

[17]  Andreas Daffertshofer,et al.  A model for phase transitions in human hand movements during multifrequency tapping , 1996 .

[18]  Andreas Daffertshofer,et al.  A dynamical model for mirror movements , 1999 .

[19]  P. Holmes,et al.  Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[20]  Dagmar Sternad,et al.  Dynamics of 1:2 Coordination: Generalizing Relative Phase to n:m Rhythms. , 1999, Journal of motor behavior.

[21]  H. Haken,et al.  Impacts of noise on a field theoretical model of the human brain , 1999 .

[22]  R. Ilmoniemi,et al.  MEG-compatible multichannel EEG electrode array. , 1996, Electroencephalography and clinical neurophysiology.

[23]  D A Rosenbaum,et al.  Production of polyrhythms. , 1993, Journal of experimental psychology. Human perception and performance.

[24]  G Pfurtscheller,et al.  Event-related Coherence during Finger Movement: A Pilot Study - Ereignisbezogene Kohärenz während der Bewegung von Fingern: Eine Pilotstudie , 1995, Biomedizinische Technik. Biomedical engineering.

[25]  Jos J. Eggermont The Correlative Brain , 1990 .

[26]  H. Haken,et al.  Towards a comprehensive theory of brain activity: coupled oscillator systems under external forces , 2000 .

[27]  A. Kristofferson,et al.  Response delays and the timing of discrete motor responses , 1973 .

[28]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[29]  Chris Chatfield,et al.  The Analysis of Time Series: An Introduction , 1990 .

[30]  Petre Stoica,et al.  Introduction to spectral analysis , 1997 .

[31]  Z. Koles,et al.  The effect of brain function on coherence patterns in the bipolar EEG. , 1987, International journal of psychophysiology : official journal of the International Organization of Psychophysiology.

[32]  G. Pfurtscheller,et al.  Do changes in coherence always reflect changes in functional coupling? , 1998, Electroencephalography and clinical neurophysiology.

[33]  Armin Fuchs,et al.  Phase transitions in the human brain revealed by large SQuID arrays: Response to Daffertshofer, Peper and Beek , 2000 .

[34]  Peter J. Beek,et al.  Multifrequency coordination in bimanual tapping: Asymmetrical coupling and signs of supercriticality. , 1995 .

[35]  Fritz Drasgow,et al.  New time-series statistic for detecting rhythmic co-occurrence in the frequency domain: the weighted coherence and its application to psychophysiological research. , 1980 .

[36]  Andreas Daffertshofer,et al.  Spectral analyses of event-related encephalographic signals , 2000 .

[37]  Viktor K. Jirsa,et al.  Derivation of a field equation of brain activity , 1996 .