Complexity in neurobiology: perspectives from the study of noise in human motor systems.

This article serves as an introduction to the themed special issue on "Complex Systems in Neurobiology." The study of complexity in neurobiology has been sensitive to the stochastic processes that dominate the micro-level architecture of neurobiological systems and the deterministic processes that govern the macroscopic behavior of these systems. A large body of research has traversed these scales of interest, seeking to determine how noise at one spatial or temporal scale influences the activity of the system at another scale. In introducing this special issue, we pay special attention to the history of inquiry in complex systems and why scientists have tended to favor linear, causally driven, reductionist approaches in Neurobiology. We follow this with an elaboration of how an alternative approach might be formulated. To illustrate our position on how the sciences of complexity and the study of noise can inform neurobiology, we use three systematic examples from the study of human motor control and learning: 1) phase transitions in bimanual coordination; 2) balance, intermittency, and discontinuous control; and 3) sensorimotor synchronization and timing. Using these examples and showing that noise is adaptively utilized by the nervous system, we make the case for the studying complexity with a perspective of understanding the macroscopic stability in biological systems by focusing on component processes at extended spatial and temporal scales. This special issue continues this theme with contributions in topics as diverse as neural network models, physical biology, motor learning, and statistical physics.

[1]  H. Zelaznik,et al.  Disrupted Timing of Discontinuous But Not Continuous Movements by Cerebellar Lesions , 2003, Science.

[2]  Ramesh Balasubramaniam,et al.  Motor Learning Characterized by Changing Lévy Distributions , 2009, PloS one.

[3]  J. Kelso,et al.  Self-organization of coordinative movement patterns ☆ , 1988 .

[4]  J. Adams,et al.  A closed-loop theory of motor learning. , 1971, Journal of motor behavior.

[5]  J. Foley The co-ordination and regulation of movements , 1968 .

[6]  H. Zelaznik,et al.  Dissociation of explicit and implicit timing in repetitive tapping and drawing movements. , 2002 .

[7]  E. Morin,et al.  L' intelligence de la complexité , 1999 .

[8]  J. Kelso Phase transitions and critical behavior in human bimanual coordination. , 1984, The American journal of physiology.

[9]  Karl Halvor Teigen One hundred years of laws in psychology. , 2002, The American journal of psychology.

[10]  Michael A. Riley,et al.  Dynamical structure of hand trajectories during pole balancing , 2009, Neuroscience Letters.

[11]  Jeffrey M. Hausdorff,et al.  Altered fractal dynamics of gait: reduced stride-interval correlations with aging and Huntington's disease. , 1997, Journal of applied physiology.

[12]  W. Weaver Science and complexity. , 1948, American scientist.

[13]  R. Balasubramaniam,et al.  Disentangling stability, variability and adaptability in human performance: focus on the interplay between local variance and serial correlation. , 2011, Journal of experimental psychology. Human perception and performance.

[14]  Tang,et al.  Self-Organized Criticality: An Explanation of 1/f Noise , 2011 .

[15]  A. Goldberger,et al.  Loss of 'complexity' and aging. Potential applications of fractals and chaos theory to senescence. , 1992, JAMA.

[16]  A. Faisal,et al.  Noise in the nervous system , 2008, Nature Reviews Neuroscience.

[17]  H. Maturana,et al.  Autopoiesis: the organization of living systems, its characterization and a model. , 1974, Currents in modern biology.

[18]  T. Kuhn,et al.  The Structure of Scientific Revolutions. , 1964 .

[19]  Viktor Mikhaĭlovich Glushkov,et al.  An Introduction to Cybernetics , 1957, The Mathematical Gazette.

[20]  Michael I. Jordan,et al.  Optimal feedback control as a theory of motor coordination , 2002, Nature Neuroscience.

[21]  Nicole L. Rheaume,et al.  Long-range correlation properties in motor timing are individual and task specific , 2011, Psychonomic bulletin & review.

[22]  W. Ashby,et al.  Principles of the self-organizing dynamic system. , 1947, The Journal of general psychology.

[23]  H. Haken,et al.  A theoretical model of phase transitions in human hand movements , 2004, Biological Cybernetics.

[24]  Beatrix Vereijken,et al.  Interaction-dominant dynamics in human cognition: beyond 1/f(alpha) fluctuation. , 2010, Journal of experimental psychology. General.

[25]  B. Mandelbrot How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension , 1967, Science.

[26]  Viktor K. Jirsa,et al.  Time Scale Hierarchies in the Functional Organization of Complex Behaviors , 2011, PLoS Comput. Biol..

[27]  G. Deco,et al.  Emerging concepts for the dynamical organization of resting-state activity in the brain , 2010, Nature Reviews Neuroscience.

[28]  R. Schmidt A schema theory of discrete motor skill learning. , 1975 .

[29]  O. Sporns,et al.  Complex brain networks: graph theoretical analysis of structural and functional systems , 2009, Nature Reviews Neuroscience.

[30]  Michael T. Turvey,et al.  Human memory retrieval as Lévy foraging , 2007 .

[31]  Jeffrey M. Hausdorff,et al.  Fractal dynamics in physiology: Alterations with disease and aging , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[32]  Christopher T. Kello,et al.  The emergent coordination of cognitive function. , 2007, Journal of experimental psychology. General.

[33]  Ramesh Balasubramaniam,et al.  Multijoint error compensation mediates unstable object control. , 2012, Journal of neurophysiology.

[34]  G. V. van Orden,et al.  Self-organization of cognitive performance. , 2003, Journal of experimental psychology. General.

[35]  Andreas Daffertshofer,et al.  Stochastic two-delay differential model of delayed visual feedback effects on postural dynamics , 2010, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[36]  Edgar Morin,et al.  La nature de la nature , 1977 .

[37]  J. Milton,et al.  Noise-induced transitions in human postural sway. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[38]  G. Rees The new phrenology: the limits of localizing cognitive processes in the brain , 2002 .

[39]  Stuart A. Kauffman,et al.  Cellular Homeostasis, Epigenesis and Replication in Randomly Aggregated Macromolecular Systems , 1971 .

[40]  David J. Balding Inference in complex systems , 2011, Interface Focus.