Transfer of calibration between hand and foot: Functional equivalence and fractal fluctuations

Transfer of competency in a perceptual task often depends on shared information between anatomically different perceptual subsystems. The problem of studying transfer involves isolating conditions of similarity and then trying to account for any resulting differences in transfer. To respect this twofold aspect, this article takes a two-pronged approach to transfer in dynamic touch. The present research first tests the hypothesis that functional equivalence supports the transfer of dynamic touch. Participants were trained to wield unseen objects with the hand or foot and were then tested on anatomically disparate limbs (i.e., the foot or hand, respectively). Next, we examined motion capture of these wielding behaviors for predictors of any asymmetry in transfer. Temporally fractal fluctuations of exploratory behavior can modulate information detection, and we tested whether the fractality of wielding might predict asymmetries in transfer across disparate limbs. Results suggest that transfer of training to anatomically disparate limbs respects functional conditions of similarity and also that the degree of temporally fractal fluctuations predicted limb differences in transfer.

[1]  Paolo Grigolini,et al.  Scaling detection in time series: diffusion entropy analysis. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  M. Latash,et al.  Testing hypotheses and the advancement of science: recent attempts to falsify the equilibrium point hypothesis , 2005, Experimental Brain Research.

[3]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[4]  Shuuji Kajita,et al.  Adaptive Gait Control of a Biped Robot Based on Realtime Sensing of the Ground Profile , 1997, Auton. Robots.

[5]  David F. Hendry,et al.  Co-Integration, Error Correction, and the Econometric Analysis of Non-Stationary Data , 1993, Advanced texts in econometrics.

[6]  D. Critchley,et al.  The response of the transverse abdominis and internal oblique muscles to different postures. , 2006, Manual therapy.

[7]  J. T. Inglis,et al.  Distribution and behaviour of glabrous cutaneous receptors in the human foot sole , 2002, The Journal of physiology.

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

[9]  M. Turvey Action and perception at the level of synergies. , 2007, Human movement science.

[10]  Theresa A. Jones,et al.  Motor Enrichment and the Induction of Plasticity Before or After Brain Injury , 2003, Neurochemical Research.

[11]  Michael T. Turvey,et al.  Physics and Psychology of the Muscle Sense , 2004 .

[12]  H. Hirschfeld,et al.  Coordinated ground forces exerted by buttocks and feet are adequately programmed for weight transfer during sit-to-stand. , 1999, Journal of neurophysiology.

[13]  John Christos Vassilicos,et al.  Dissipation and decay of fractal-generated turbulence , 2007 .

[14]  Gerhard Werner,et al.  Fractals in the Nervous System: Conceptual Implications for Theoretical Neuroscience , 2009, Front. Physiology.

[15]  Damián H. Zanette,et al.  Persistence in Lévy-flight anomalous diffusion , 1997 .

[16]  Damian G. Stephen,et al.  The role of fractality in perceptual learning: exploration in dynamic touch. , 2010, Journal of experimental psychology. Human perception and performance.

[17]  J. Gibson The Senses Considered As Perceptual Systems , 1967 .

[18]  Pier-Giorgio Zanone,et al.  Coordination dynamics of learning and transfer across different effector systems. , 2002, Journal of experimental psychology. Human perception and performance.

[19]  Claudia Carello,et al.  Haptic selective attention by foot and by hand , 2007, Neuroscience Letters.

[20]  Adam W. Kiefer,et al.  Walking changes the dynamics of cognitive estimates of time intervals. , 2009, Journal of experimental psychology. Human perception and performance.

[21]  David M Jacobs,et al.  Direct learning in dynamic touch. , 2008, Journal of experimental psychology. Human perception and performance.

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

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

[24]  Esther Thelen,et al.  Feet first: Object exploration in young infants. , 2004 .

[25]  T. Stoffregen,et al.  On specification and the senses , 2001, Behavioral and Brain Sciences.

[26]  David M. Greem,et al.  Variability of magnitude estimates: A timing theory analysis , 1974 .

[27]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[28]  A. Reynolds Bridging the gulf between correlated random walks and Lévy walks: autocorrelation as a source of Lévy walk movement patterns , 2010, Journal of The Royal Society Interface.

[29]  James A. Dixon,et al.  Strong anticipation: Multifractal cascade dynamics modulate scaling in synchronization behaviors , 2011 .

[30]  F Bartumeus,et al.  Optimizing the encounter rate in biological interactions: Lévy versus Brownian strategies. , 2002, Physical review letters.

[31]  Peter C M Molenaar,et al.  On the implications of the classical ergodic theorems: analysis of developmental processes has to focus on intra-individual variation. , 2008, Developmental psychobiology.

[32]  Aftab E Patla,et al.  Contribution of vision and cutaneous sensation to the control of centre of mass (COM) during gait termination , 2001, Brain Research.

[33]  Y Schutz,et al.  Daily physical activity assessment: what is the importance of upper limb movements vs whole body movements? , 2004, International Journal of Obesity.

[34]  Lars N. Bakker Brain mapping research developments , 2008 .

[35]  E. Gibson Principles of Perceptual Learning and Development , 1969 .

[36]  H. Berg Random Walks in Biology , 2018 .

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

[38]  P. A. Prince,et al.  Lévy flight search patterns of wandering albatrosses , 1996, Nature.

[39]  David Carling,et al.  The AMP-activated protein kinase cascade--a unifying system for energy control. , 2004, Trends in biochemical sciences.

[40]  Steven J. Harrison,et al.  Perceiving action-relevant properties of tools through dynamic touch: effects of mass distribution, exploration style, and intention. , 2011, Journal of experimental psychology. Human perception and performance.

[41]  L. Postman,et al.  Association theory and perceptual learning. , 1955, Psychological review.

[42]  Daniel Mirman,et al.  Interactions dominate the dynamics of visual cognition , 2010, Cognition.

[43]  R. Ratcliff,et al.  Human cognition and a pile of sand: a discussion on serial correlations and self-organized criticality. , 2005, Journal of experimental psychology. General.

[44]  Ragnar Steingrimsson,et al.  Evaluating a model of global psychophysical judgments for brightness: II. Behavioral properties linking summations and productions , 2009, Attention, perception & psychophysics.

[45]  J. Dixon Strong tests of developmental ordering hypotheses: integrating evidence from the second moment. , 2005, Child development.

[46]  W. Devillé,et al.  Reference values for touch sensibility thresholds in healthy Nepalese volunteers. , 1996, Leprosy Review.

[47]  R. Ratcliff,et al.  Estimation and interpretation of 1/fα noise in human cognition , 2004 .

[48]  Damian G. Stephen,et al.  The dynamics of insight: Mathematical discovery as a phase transition , 2009, Memory & cognition.

[49]  Professor Dr. Friedrich G. Barth A Spider’s World , 2002, Springer Berlin Heidelberg.

[50]  G. L. Gebber,et al.  Fractal activity generated independently by medullary sympathetic premotor and preganglionic sympathetic neurons. , 2003, Journal of neurophysiology.

[51]  J. Timmer,et al.  Tempting long-memory - on the interpretation of DFA results , 2004 .

[52]  W. Epstein,et al.  Perception of space and motion , 1995 .

[53]  Randall D. Beer,et al.  The brain has a body: adaptive behavior emerges from interactions of nervous system, body and environment , 1997, Trends in Neurosciences.

[54]  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.

[55]  Vladimir M. Zatsiorsky,et al.  Long-range correlations in human standing , 2001 .

[56]  Bruce J. West,et al.  Fractal response of physiological signals to stress conditions, environmental changes, and neurodegenerative diseases , 2007, Complex..

[57]  Susan J. Lederman,et al.  Exploring Environments by Hand or Foot: Time-Based Heuristics for Encoding Distance in Movement Space , 1987 .

[58]  Ichiro Kanazawa,et al.  Input-output organization of the foot motor area in humans , 1999, Clinical Neurophysiology.

[59]  Scott T. Grafton,et al.  Abstract and Effector-Specific Representations of Motor Sequences Identified with PET , 1998, The Journal of Neuroscience.

[60]  M. Turvey,et al.  Eigenvalues of the inertia tensor and exteroception by the “muscular sense” , 1994, Neuroscience.

[61]  J. Donoghue,et al.  Plasticity and primary motor cortex. , 2000, Annual review of neuroscience.

[62]  Frederic Bartumeus,et al.  Erratum: Optimizing the Encounter Rate in Biological Interactions: Lévy versus Brownian Strategies [Phys. Rev. Lett.88, 097901 (2002)] , 2002 .

[63]  Peter J Beek,et al.  Mechanical invariants are implicated in dynamic touch as a function of their salience in the stimulus flow. , 2006, Journal of experimental psychology. Human perception and performance.

[64]  Ma Conway,et al.  Handbook of perception and cognition , 1996 .

[65]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[66]  Russel D. Andrews,et al.  Allometric cascade: a model for resolving body mass effects on metabolism. , 2003, Comparative biochemistry and physiology. Part A, Molecular & integrative physiology.

[67]  L S Liebovitch,et al.  Hurst analysis applied to the study of single calcium-activated potassium channel kinetics. , 2000, Journal of theoretical biology.

[68]  Mingzhou Ding,et al.  Statistical Analysis of Timing Errors , 2002, Brain and Cognition.

[69]  H. Stanley,et al.  Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. , 1995, Chaos.

[70]  H. Stanley,et al.  Multifractal Detrended Fluctuation Analysis of Nonstationary Time Series , 2002, physics/0202070.

[71]  Damian G. Stephen,et al.  Self-training of dynamic touch: Striking improves judgment by wielding , 2009, Attention, perception & psychophysics.

[72]  G. V. van Orden,et al.  Human cognition and 1/f scaling. , 2005, Journal of experimental psychology. General.

[73]  G. L. Gebber,et al.  Fractal properties of sympathetic nerve discharge. , 2003, Journal of neurophysiology.

[74]  Linda B. Smith,et al.  A Dynamic Systems Approach to the Development of Cognition and Action , 2007, Journal of Cognitive Neuroscience.

[75]  Rob Withagen,et al.  Transfer of calibration in length perception by dynamic touch , 2004, Perception & psychophysics.

[76]  M T Turvey,et al.  Effects of intention and learning on attention to information in dynamic touch , 2010, Attention, perception & psychophysics.

[77]  S. Cortassa,et al.  The fundamental organization of cardiac mitochondria as a network of coupled oscillators. , 2006, Biophysical journal.

[78]  J. Singer,et al.  Applied Longitudinal Data Analysis , 2003 .

[79]  J. Gitter,et al.  Fractal analysis of the electromyographic interference pattern , 1995, Journal of Neuroscience Methods.

[80]  D. Gilden Cognitive emissions of 1/f noise. , 2001, Psychological review.

[81]  T. Stoffregen,et al.  An ecological Theory of Motion Sickness and Postural Instability , 1991 .

[82]  T. Johnston,et al.  Genes, interactions, and the development of behavior. , 2002, Psychological review.

[83]  K. Torre,et al.  Detection of long-range dependence and estimation of fractal exponents through ARFIMA modelling. , 2007, The British journal of mathematical and statistical psychology.

[84]  F. Barth,et al.  A Spider’s World: Senses and Behavior , 2001 .

[85]  B. West The Wisdom of the Body; A Contemporary View , 2010, Front. Physiology.

[86]  H. Akaike,et al.  Information Theory and an Extension of the Maximum Likelihood Principle , 1973 .

[87]  Jeffrey B Wagman,et al.  Perceptual experience and posttest improvements in perceptual accuracy and consistency , 2008, Perception & psychophysics.

[88]  David B. Miller,et al.  Nested reciprocities: the organism-environment system in perception-action and development. , 2003, Developmental psychobiology.

[89]  Stuart Anstis,et al.  Aftereffects from jogging , 2004, Experimental Brain Research.

[90]  S. P. Swinnen,et al.  Dynamics of learning and transfer of muscular and spatial relative phase in bimanual coordination: evidence for abstract directional codes , 2004, Experimental Brain Research.

[91]  J. Gibson The Ecological Approach to Visual Perception , 1979 .

[92]  Rebecca Boncoddo,et al.  The Self-Organization of Cognitive Structure , 2010 .

[93]  Lawrence M. Ward,et al.  Dynamical Cognitive Science , 2001 .

[94]  H. Stanley,et al.  Effect of trends on detrended fluctuation analysis. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[95]  V. Dietz,et al.  Obstacle avoidance during human walking: transfer of motor skill from one leg to the other , 2002, The Journal of physiology.

[96]  C. Peng,et al.  Mosaic organization of DNA nucleotides. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[97]  G. V. van Orden,et al.  Dispersion of response times reveals cognitive dynamics. , 2009, Psychological review.

[98]  Daniel Mirman,et al.  Multifractal Dynamics in the Emergence of Cognitive Structure , 2012, Top. Cogn. Sci..

[99]  Mu-ming Poo,et al.  Quantal Neurotransmitter Secretion Rate Exhibits Fractal Behavior , 1997, The Journal of Neuroscience.

[100]  J. Kwapień,et al.  Wavelet versus detrended fluctuation analysis of multifractal structures. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[101]  Damian G. Stephen,et al.  Prism adaptation of underhand throwing: Rotational inertia and the primary and latent aftereffects , 2009, Neuroscience Letters.

[102]  Delignières Didier,et al.  Testing for the Presence of 1/f Noise in Continuation Tapping Data , 2022 .

[103]  Scaling analysis of paces of fetal breathing, gross-body and extremity movements. , 2007, Physica A.

[104]  Benoît G. Bardy,et al.  Modulating postural control to facilitate visual performance , 2000 .

[105]  Damian G. Stephen,et al.  Fractal fluctuations in gaze speed visual search , 2011, Attention, perception & psychophysics.

[106]  N. A. Bernstein Dexterity and Its Development , 1996 .

[107]  J. Kelso,et al.  Coordination dynamics of learning and transfer: collective and component levels. , 1997, Journal of experimental psychology. Human perception and performance.

[108]  E. Wagenmakers,et al.  Theories and models for 1/f(beta) noise in human movement science. , 2009, Human movement science.

[109]  Damian G. Stephen,et al.  The Self-Organization of Insight: Entropy and Power Laws in Problem Solving , 2009, J. Probl. Solving.

[110]  J. A. Scott Kelso,et al.  Dynamic Encounters: Long Memory During Functional Stabilization , 1999 .

[111]  C. Granger,et al.  AN INTRODUCTION TO LONG‐MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING , 1980 .

[112]  S. S. Stevens On the psychophysical law. , 1957, Psychological review.

[113]  J P Roll,et al.  Foot sole and ankle muscle inputs contribute jointly to human erect posture regulation , 2001, The Journal of physiology.

[114]  Bruce J. West,et al.  Fractal physiology , 1994, IEEE Engineering in Medicine and Biology Magazine.

[115]  Rob Withagen,et al.  Individual differences in learning to perceive length by dynamic touch: Evidence for variation in perceptual learning capacities , 2009, Attention, perception & psychophysics.

[116]  Steven J. Harrison,et al.  Comparison of Dynamic (Effortful) Touch by Hand and Foot , 2007, Journal of motor behavior.

[117]  Bruce J. West,et al.  Maximizing information exchange between complex networks , 2008 .