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Toward a Complementary Neuroscience: Metastable Coordination Dynamics of the Brain

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Downward Causation and the Neurobiology of Free Will

Part of the book series: Understanding Complex Systems ((UCS))

Summary

Metastability has been proposed as a new principle of behavioral and brain function and may point the way to a truly complementary neuroscience. From elementary coordination dynamics we show explicitly that metastability is a result of a symmetry-breaking caused by the subtle interplay of two forces: the tendency of the components to couple together and the tendency of the components to express their intrinsic independent behavior. The metastable regime reconciles the well-known tendencies of specialized brain regions to express their autonomy (segregation) and the tendencies for those regions to work together as a synergy (integration). Integration ~ segregation is just one of the complementary pairs (denoted by the tilde [~] symbol) to emerge from the science of coordination dynamics. We discuss metastability in the brain by describing the favorable conditions existing for its emergence and by deriving some predictions for its empirical characterization in neurophysiological recordings.

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References

  • Almonte, F., Jirsa, V.K., Large, E.W., Tuller, B.: Integration and segregation in auditory streaming. Physica D 212, 137–159 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  • Andreasen, N.C., Nopoulos, P., O’Leary, D.S., Miller, D.D., Wassink, T., Flaum, L.: Defining the phenotype of schizophrenia: Cognitive dysmetria and its neural mechanisms. Biological Psychiatry 46, 908–920 (1999)

    Article  Google Scholar 

  • Assisi, C.G., Jirsa, V.K., Kelso, J.A.S.: Synchrony and clustering in heterogeneous networks with global coupling and parameter dispersion. Physical Review Letters 94, 18106 (2005)

    Article  ADS  Google Scholar 

  • Atlan, H.: Entre le cristal et la fumée. Paris, Seuil (1979)

    Google Scholar 

  • Başar, E.: Memory and brain dynamics: Oscillations integrating attention, perception, learning, and memory. Conceptual advances in brain research, vol. 7. CRC Press, Boca Raton (2004)

    Book  MATH  Google Scholar 

  • Başar-Eroglu, C., Struber, D., Kruse, P., Başar, E., Stadler, M.: Frontal Gamma-band enhancement during multistable visual perception. International Journal of Psychophysiology 24, 113–125 (1996)

    Article  Google Scholar 

  • Berger, H.: Über das Elektroenkephalogramm des Menschen. Archiv für Psychiatrie und Nervenkrankheiten 87, 527–570 (1929)

    Article  Google Scholar 

  • Blumenfeld, H., Taylor, J.: Why do seizures cause loss of consciousness? The Neuroscientist 9(5), 301–310 (2003)

    Article  Google Scholar 

  • Braitenberg, V., Schuz, A.: Anatomy of the cortex. Springer, Berlin (1991)

    Google Scholar 

  • Bressler, S.L.: Large-scale cortical networks and cognition. Brain Research Reviews 20, 288–304 (1995)

    Article  Google Scholar 

  • Bressler, S.L.: Interareal synchronization in the visual cortex. Behavioral and Brain Research 76, 37–49 (1996)

    Article  Google Scholar 

  • Bressler, S.L., Kelso, J.A.S.: Cortical coordination dynamics and cognition. Trends in Cognitive Sciences 5, 26–36 (2001)

    Article  Google Scholar 

  • Bressler, S.L., Tognoli, E.: Operational principles of neurocognitive networks. International Journal of Psychophysiology 60, 139–148 (2006)

    Article  Google Scholar 

  • Bressler, S.L., Coppola, R., Nakamura, R.: Episodic multiregional cortical coherence at multiple frequencies during visual task performance. Nature 366, 153–156 (1993)

    Article  ADS  Google Scholar 

  • Brock, J., Brown, C.C., Boucher, J., Rippon, G.: The temporal binding deficit hypothesis of autism. Development and Psychopathology 14, 209–224 (2002)

    Article  Google Scholar 

  • Brown, P., Marsden, J.F.: Cortical network resonance and motor activity in humans. Neuroscientist 7, 518–527 (2001)

    Article  Google Scholar 

  • Buxhoeveden, D.P., Casanova, M.F.: The minicolumnar hypothesis in neurosciences. Brain 125(5), 935–951 (2002)

    Article  Google Scholar 

  • Buzsáki, G.: Rhythms of the brain. Oxford University Press, Oxford (2006)

    Book  MATH  Google Scholar 

  • Buzsáki, G., Draguhn, A.: Neuronal oscillations in cortical networks. Science 304(5679), 1926–1929 (2004)

    Article  ADS  Google Scholar 

  • Castelo-Branco, M., Goebel, R., Neuenschwander, S.: Neural synchrony correlates with surface segregation rules. Nature 405, 685–689 (2000)

    Article  ADS  Google Scholar 

  • Chase, M.H., Harper, R.M.: Somatomotor and visceromotor correlates of operantly conditioned 12–14 cycles per second sensorimotor cortical activity. Electroencephalography and Clinical Neurophysiology 31, 85–92 (1971)

    Article  Google Scholar 

  • Chatrian, G.E., Petersen, M.C., Lazarte, J.A.: The blocking of the central wicket rhythm and some central changes related to movement. Electroencephalography and Clinical Neurophysiology 11, 497–510 (1959)

    Article  Google Scholar 

  • Chen, Y., Ding, M., Kelso, J.A.S.: Long range dependence in human sensorimotor coordination. In: Rangarajan, G., Ding, M. (eds.) Processes with long-range correlations, pp. 309–323. Springer, Berlin (2003a)

    Chapter  Google Scholar 

  • Chen, Y., Ding, M., Kelso, J.A.S.: Task-related power and coherence changes in neuromagnetic activity during visuomotor coordination. Experimental Brain Research 148, 105–116 (2003b)

    Article  Google Scholar 

  • Chialvo, D.R.: Critical brain networks. Physica A 340(4), 756–765 (2004)

    Article  ADS  Google Scholar 

  • Chklovskii, D.B., Schikorski, T., Stevens, C.F.: Wiring optimization in cortical circuits. Neuron 34(3), 341–347 (2002)

    Article  Google Scholar 

  • Deacon, T.W.: Rethinking mammalian brain evolution. American Zoologist 30, 629–705 (1990)

    Google Scholar 

  • Ditzinger, T., Haken, H.: Oscillations in the perception of ambiguous patterns. Biological Cybernetics 61, 279–287 (1989)

    Article  MathSciNet  Google Scholar 

  • Ditzinger, T., Haken, H.: The impact of fluctuations on the recognition of ambiguous patterns. Biological Cybernetics 63, 453–456 (1990)

    Article  Google Scholar 

  • Dominguez, L.G., Wennberg, R., Gaetz, W., Cheyne, D., Snead III, O.C., Perez Velazquez, J.L.: Enhanced synchrony in epileptiform activity? Local versus distant synchronization in generalized seizures. Journal of Neuroscience 25(35), 8077–8084 (2005)

    Article  Google Scholar 

  • Douglas, R.J., Martin, K.A.: A functional microcircuit for cat visual cortex. Journal of Physiology 440, 735–769 (1991)

    Google Scholar 

  • Ebbesson, S.O.E.: Evolution and ontogeny of neural circuits. Behavioral and Brain Science 7, 321–366 (1984)

    Article  Google Scholar 

  • Eckhorn, R., Obermüller, A.: Single neurons are differently involved in stimulus-specific oscillations in cat visual cortex. Experimental Brain Research 95(1), 177–182 (1993)

    Article  Google Scholar 

  • Eckhorn, R., Bauer, R., Jordan, W., Borsch, M., Kruse, W., Munk, M., Reitboeck, H.J.: Coherent oscillations: A mechanism of feature linking in the visual cortex? Multiple electrode correlation analyses in the cat. Biological Cybernetics 60(2), 121–130 (1988)

    Article  Google Scholar 

  • Edelman, G.M.: Naturalizing consciousness: A theoretical framework. Proceedings of the National Academy of Science USA 100(9), 520–524 (2004)

    Google Scholar 

  • Edelman, G.: Second nature: Brain science and human knowledge. Yale University Press, New Haven (2006)

    Google Scholar 

  • Edelman, G., Tononi, G.: A universe of consciousness. Basic Books, New York (2000)

    Google Scholar 

  • Engel, A.K., König, P., Singer, W.: Direct physiological evidence for scene segmentation by temporal coding. Proceedings of the National Academy of Science USA 88, 9136–9140 (1991)

    Article  ADS  Google Scholar 

  • Fingelkurts, A.A., Fingelkurts, A.A.: Making complexity simpler: Multivariability and metastability in the brain. International Journal of Neuroscience 114(7), 843–862 (2004)

    Article  Google Scholar 

  • Finger, S.: Origins of neuroscience. Oxford, New York (1994)

    Google Scholar 

  • Frayn, M.: The human touch: Our part in the creation of the universe. Faber & Faber, London (2006)

    Google Scholar 

  • Freeman, W.J.: Neurodynamics: An exploration in mesoscopic brain dynamics. Springer, Berlin (2000)

    MATH  Google Scholar 

  • Freeman, W.J.: Making sense of brain waves: The most baffling frontier in neuroscience. In: Parelus, P., Principe, J., Rajasekaran, S. (eds.) Biocomputing, pp. 33–55. Kluwer, New York (2001)

    Google Scholar 

  • Freeman, W.J., Holmes, M.D.: Metastability, instability, and state transition in neocortex. Neural Networks 18(5–6), 497–504 (2005)

    Article  MATH  Google Scholar 

  • Fries, P., Reynolds, J.H., Rorie, A.E., Desimone, R.: Modulation of oscillatory neuronal synchronization by selective visual attention. Science 291, 1560–1563 (2001)

    Article  ADS  Google Scholar 

  • Friston, K.J.: Transients, metastability, and neuronal dynamics. NeuroImage 5, 164–171 (1997)

    Article  Google Scholar 

  • Glass, L.: Synchronization and rhythmic processes in physiology. Nature 410, 277–284 (2001)

    Article  ADS  Google Scholar 

  • Gray, C.M., König, P., Engel, A.K., Singer, W.: Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature 338(6213), 334–337 (1989)

    Article  ADS  Google Scholar 

  • Gregory, R.L.: Editorial. Perception 29, 1139–1142 (2000)

    Article  Google Scholar 

  • Grossberg, S.: The complementary brain: A unifying view of brain specialization and modularity. Trends in Cognitive Sciences 4, 233–246 (2000)

    Article  Google Scholar 

  • Haken, H.: Synergetics: An introduction. series in synergetics. Springer, Berlin (1983)

    MATH  Google Scholar 

  • Haken, H.: Principles of brain functioning. Springer, Berlin (1996)

    MATH  Google Scholar 

  • Haken, H., Kelso, J.A.S., Bunz, H.: A theoretical model of phase transitions in human hand movements. Biological Cybernetics 51, 347–356 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  • Heisenberg, W.: Physics and philosophy: The revolution in modern physics. Harper & Row, New York (1958)

    Google Scholar 

  • Hock, H.S., Kelso, J.A.S., Schöner, G.: Bistability and hysteresis in the organization of apparent motion patterns. Journal of Experimental Psychology: Human Perception Performance 19, 63–80 (1993)

    Article  Google Scholar 

  • Hughes, S.W., Crunelli, V.: Thalamic mechanisms of EEG Alpha rhythms and their pathological implications. The Neuroscientist 11, 357–372 (2005)

    Article  Google Scholar 

  • Jacobs, R.A., Jordan, M.I.: Computational consequences of a bias towards short connections. Journal of Cognitive Neuroscience 4, 323–336 (1992)

    Article  Google Scholar 

  • Jensen, A.R.: Why is reaction time correlated with psychometric g? Current Directions in Psychological Science 2, 53–56 (1993)

    Article  Google Scholar 

  • Ji, S.: Complementarism: A biology-based philosophical framework to integrate western science and eastern tao. In: Proceedings of the 16th International Congress of Psychotherapy, pp. 518–548 (1995)

    Google Scholar 

  • Jirsa, V.K., Haken, H.: A derivation of a macroscopic field theory of the brain from the quasi-microscopic neural dynamics. Physica D 99, 503–526 (1997)

    Article  MATH  Google Scholar 

  • Jirsa, V.K., Kelso, J.A.S.: Spatiotemporal pattern formation in continuous systems with heterogeneous connection topologies. Physical Review E 62(6), 8462–8465 (2000)

    Article  ADS  Google Scholar 

  • Jirsa, V.K., Kelso, J.A.S. (eds.): Coordination dynamics: Issues and trends. Springer, Berlin (2004)

    Google Scholar 

  • Jirsa, V.K., Fuchs, A., Kelso, J.A.S.: Connecting cortical and behavioral dynamics: Bimanual coordination. Neural Computation 10, 2019–2045 (1998)

    Article  Google Scholar 

  • Kaplan, A.Y., Shishkin, S.L.: Nonparametric method for the segmentation of the EEG. Computer Methods and Programs in Biomedicine 60(2), 93–106 (1999)

    Article  Google Scholar 

  • Keil, A., Muller, M.M., Ray, W.J., Gruber, T., Elbert, T.: Human Gamma band activity and perception of a gestalt. Journal of Neuroscience 19, 7152–7161 (1999)

    Google Scholar 

  • Kelso, J.A.S.: On the oscillatory basis of movement. Bulletin of the Psychonomic Society 18, 63 (1981)

    Google Scholar 

  • Kelso, J.A.S.: Phase transitions and critical behavior in human bimanual coordination. American Journal of Physiology 246(6 Pt. 2), R1000–R1004 (1984)

    Google Scholar 

  • Kelso, J.A.S.: Behavioral and neural pattern generation: The concept of neurobehavioral dynamical system (NBDS). In: Koepchen, H.P., Huopaniemi, T. (eds.) Cardiorespiratory and motor coordination, pp. 224–234. Springer, Berlin (1991)

    Google Scholar 

  • Kelso, J.A.S.: Coordination dynamics of human brain and behavior. Springer Proceedings in Physics 69, 223–234 (1992)

    Google Scholar 

  • Kelso, J.A.S.: The informational character of self-organized coordination dynamics. Human Movement Science 13, 393–413 (1994)

    Article  Google Scholar 

  • Kelso, J.A.S.: Dynamic patterns: The self-organization of brain and behavior. MIT Press, Cambridge (1995)

    Google Scholar 

  • Kelso, J.A.S.: The complementary nature of coordination dynamics: Self-organiza¬tion and the origins of agency. Journal of Nonlinear Phenomena in Complex Systems 5, 364–371 (2002)

    Google Scholar 

  • Kelso, J.A.S., Engstrøm, D.: The complementary nature. MIT Press, Cambridge (2006)

    Google Scholar 

  • Kelso, J.A.S., Haken, H.: New laws to be expected in the organism: Synergetics of brain and behavior. In: Murphy, M., O’Neill, L. (eds.) What Is life? The next 50 years. Cambridge University Press, Cambridge (1995)

    Google Scholar 

  • Kelso, J.A.S., Jeka, J.J.: Symmetry breaking dynamics of human multilimb co-ordination. Journal of Experimental Psychology: Human Perception and Performance 18, 645–668 (1992)

    Article  Google Scholar 

  • Kelso, J.A.S., DelColle, J., Schöner, G.: Action-perception as a pattern formation process. In: Jeannerod, M. (ed.) Attention and performance XIII, pp. 139–169. Erlbaum, Hillsdale (1990)

    Google Scholar 

  • Kelso, J.A.S., DeGuzman, G.C., Holroyd, T.: Synergetic dynamics of biological coordination with special reference to phase attraction and intermittency. In: Haken, H., Koepchen, H.P. (eds.) Rhythms in physiological systems. Springer series in synergetics, vol. 55, pp. 195–213. Springer, Heidelberg (1991)

    Google Scholar 

  • Kelso, J.A.S., Bressler, S.L., Buchanan, S., DeGuzman, G.C., Ding, M., Fuchs, A., Holroyd, T.: A phase transition in human brain and behavior. Physics Letters A 169, 134–144 (1992)

    Article  ADS  Google Scholar 

  • Kelso, J.A.S., Case, P., Holroyd, T., Horvath, E., Raczaszek, J., Tuller, B., Ding, M.: Multistability and metastability in perceptual and brain dynamics. In: Kruse, P., Stadler, M. (eds.) Ambiguity in mind and nature, pp. 159–185. Springer, Heidelberg (1995)

    Google Scholar 

  • Koch, C.: Thinking about the conscious mind: A Review of Mind – An Introduction, by John Searle. Science 306, 979–980 (2004)

    Article  Google Scholar 

  • König, P., Engel, A.K., Roelfsema, P.R., Singer, W.: Coincidence detection or temporal integration: The role of the cortical neuron revisited. Trends in Neurosciences 19, 130–137 (1996)

    Article  Google Scholar 

  • Kostopoulos, G.K.: Involvement of the thalamocortical system in epileptic loss of consciousness. Epilepsia 42(30), 13–19 (2001)

    Article  Google Scholar 

  • Kuhlman, W.N.: Functional topography of the human Mu rhythm. Electroencephalography and Clinical Neurophysiology 44, 83–93 (1978)

    Article  Google Scholar 

  • Lehmann, D., Strik, W.K., Henggeler, B., Koenig, T., Koukkou, M.: Brain electric microstates and momentary conscious mind states as building blocks of spontaneous thinking: I. Visual imagery and abstract thoughts. International Journal of Psychophysiology 29(1), 1–11 (1998)

    Article  Google Scholar 

  • Liang, M., Zhou, Y., Jiang, T., Liu, Z., Tian, L., Liu, H., Hao, Y.: Widespread functional disconnectivity in schizophrenia with resting-state functional magnetic resonance imaging. Neuroreport 17(2), 209–213 (2006)

    Article  Google Scholar 

  • Mima, T., Matsuoka, T., Hallett, M.: Functional coupling of human right and left cortical motor areas demonstrated with partial coherence analysis. Neuroscience Letters 287, 93–96 (2000)

    Article  Google Scholar 

  • Müller, M.M., Bosch, J., Elbert, T., Kreiter, A., Sosa, M., Valdes-Sosa, P., Rockstroh, B.: Visually induced gamma-band responses in human electroencephalographic activity: A link to animal studies. Experimental Brain Research 112(1), 96–102 (1996)

    Article  Google Scholar 

  • Munk, M.H.J., Roelfsema, P.R., König, P., Engel, A.K., Singer, W.: Role of reticular activation in the modulation of intracortical synchronization. Science 272, 271–274 (1996)

    Article  ADS  Google Scholar 

  • Niznikiewicz, M.A., Kubicki, M., Shenton, M.E.: Recent structural and functional imaging findings in schizophrenia. Current Opinion in Psychiatry 16, 123–147 (2003)

    Article  Google Scholar 

  • Pauli, W.: Writings on physics and philosophy. In: Enz, C.P., von Meyenn, K. (eds.). Springer, Berlin (1994)

    Google Scholar 

  • Perez Velazquez, J.L.: Brain, behaviour and mathematics: Are we using the right approaches? Physica D: Nonlinear Phenomena 212(3-4), 161–182 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  • Perez Velazquez, J.L., Wennberg, R.: Metastability of brain states and the many routes to seizures: Numerous causes, same result. In: Pandalai, S.G. (ed.) Recent research developments in biophysics, vol. 3, pp. 25–59. Transworld Research Network, Kerala (2004)

    Google Scholar 

  • Pritchard, W.S.: The brain in fractal time: 1/f-like power spectrum scaling of the human electroencephalogram. International Journal of Neuroscience 66(1–2), 119–129 (1992)

    Article  Google Scholar 

  • Rodriguez, E., George, N., Lachaux, J.P., Martinerie, J., Renault, B., Varela, F.: Perception’s shadow: Long-distance synchronization in the human brain activity. Nature 397, 430–433 (1999)

    Article  ADS  Google Scholar 

  • Schiff, N.D., Plum, F.: The role of arousal and “gating” systems in the neurology of impaired consciousness. Journal of Clinical Neurophysiology 17, 438–452 (2000)

    Article  Google Scholar 

  • Schöner, G., Kelso, J.A.S.: Dynamic pattern generation in behavioral and neural systems. Science 239, 1513–1520 (1988)

    Article  ADS  Google Scholar 

  • Sporns, O.: Complex neural dynamics. In: Jirsa, V.K., Kelso, J.A.S. (eds.) Coordination dynamics: Issues and trends, pp. 197–215. Springer, Berlin (2004)

    Google Scholar 

  • Sporns, O., Kötter, R.: Motifs in brain networks. PLoS Biology 2, 1910–1918 (2004)

    Article  Google Scholar 

  • Steinmetz, P.N., Roy, A., Fitzgerald, P., Hsiao, S.S., Niebur, E., Johnson, K.O.: Attention modulates synchronized neuronal firing in primate somatosensory cortex. Nature 404, 187–190 (2000)

    Article  ADS  Google Scholar 

  • Talbot, M.: The baby lab: How Elizabeth Spelke peers into the infant mind, New York, pp. 90–101, September 4 (2006)

    Google Scholar 

  • Tallon-Baudry, C., Bertrand, O., Fischer, C.: Oscillatory synchrony between human extrastriate areas during visual short-term memory maintenance. Journal of Neuroscience 21, RC177, 1–5 (2001)

    Google Scholar 

  • Thorpe, S., Fize, D., Marlot, C.: Speed of processing in the human visual system. Nature 381, 520–522 (1996)

    Article  ADS  Google Scholar 

  • Tononi, G., Edelman, G.M.: Schizophrenia and the mechanisms of conscious integration. Brain Research Reviews 31, 391–400 (2000)

    Article  Google Scholar 

  • Tononi, G., Sporns, O., Edelman, G.M.: A measure for brain complexity: Relating functional segregation and integration in the nervous system. Proceedings of the National Academy of Science USA 91, 5033–5037 (1994)

    Article  ADS  Google Scholar 

  • Tononi, G., Sporns, O., Edelman, G.M.: Complexity and coherency: Integrating information in the brain. Trends in Cognitive Sciences 2, 474–484 (1998)

    Article  Google Scholar 

  • Tschacher, W., Dauwalder, J.P.: The dynamical systems approach to cognition: Concepts and empirical paradigms based on self-organization, embodiment and coordination dynamics. World Scientific, Singapore (2003)

    Book  Google Scholar 

  • Tuller, B., Case, P., Ding, M., Kelso, J.A.S.: The nonlinear dynamics of speech categorization. Journal of Experimental Psychology: Human Perception and Performance 20, 1–14 (1994)

    Article  Google Scholar 

  • Varela, F.J., Lachaux, J.-P., Rodriguez, E., Martinerie, J.: The brainweb: Phase synchronization and large-scale integration. Nature Reviews Neuroscience 2, 229–239 (2001)

    Article  Google Scholar 

  • Welsh, J.P., Ahn, E.S., Placantonakis, D.G.: Is autism due to brain desynchronization? International Journal of Developmental Neuroscience 23, 253–263 (2005)

    Article  Google Scholar 

  • Werner, G.: Metastability, criticality and phase transitions in brain and its models. Biosystems 90(2), 496–508 (2007)

    Article  ADS  Google Scholar 

  • Wright, J.J., Robinson, P.A., Rennie, C.J., Gordon, E., Bourke, P.D., Chapman, C.L., Hawthorn, N., Lees, G.J., Alexander, D.: Toward an integrated continuum model of cerebral dynamics: The cerebral rhythms, synchronous oscillation and cortical stability. Journal of Biological and Information Processing Systems 63(1-3), 71–88 (2001)

    Google Scholar 

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Kelso, J.A.S., Tognoli, E. (2009). Toward a Complementary Neuroscience: Metastable Coordination Dynamics of the Brain. In: Murphy, N., Ellis, G.F.R., O’Connor, T. (eds) Downward Causation and the Neurobiology of Free Will. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03205-9_6

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