The influence of motor system degradation on the control of handwriting movements: a dynamical systems analysis.

The complex dynamics of the human hand/arm system need to be precisely controlled to produce fine movements such as those found in handwriting. This study employs dynamical systems analysis techniques to further understand how this system is controlled when it is functioning well and when it is compromised through motor function degradation (e.g. from tremor). Seven people with and 16 people without multiple sclerosis (MS) participated in this study. Tremor was assessed using spirography with participants being separated into "tremor" (6 people with and 1 person without MS; 2 male, 5 female; age range 40-68) and control (1 person with and 15 people without MS; 5 male, 11 female, age range 18-59) groups. Participants wrote the pseudo-word "lanordam" six times on a digitizer, in a quiet as well as a noisy, mildly stressful environment. Velocity profiles of the pen tip for the best four trials were concatenated and analyzed to determine their dimensionality (a measure of the number of control variables) and Lyapunov exponents (a measure of predictability). Results indicate that the velocity profiles for people with tremor were lower dimensional and had less predictable dynamics than for controls, with no effect of sound condition. Interpreted in the context of related research, it was speculated that the lower dimensionality reflected the loss of control of variables related to the minimization of movement variability, resulting in less predictable movements.

[1]  H. Teulings,et al.  Axial pen force increases with processing demands in handwriting. , 1998, Acta psychologica.

[2]  H. Broer Dynamical systems and turbulence, Warwick 1980 , 1981 .

[3]  E. Saltzman,et al.  Steady-state and perturbed rhythmical movements: a dynamical analysis. , 1991, Journal of experimental psychology. Human perception and performance.

[4]  B. Ford,et al.  Senile tremor. What is the prevalence and severity of tremor in older adults? , 2000, Gerontology.

[5]  R. Gencay,et al.  An algorithm for the n Lyapunov exponents of an n -dimensional unknown dynamical system , 1992 .

[6]  W. Ditto,et al.  Chaos: From Theory to Applications , 1992 .

[7]  Richard A. Heath,et al.  Nonlinear Dynamics: Techniques and Applications in Psychology , 2000 .

[8]  John P. Wann,et al.  The control of pen pressure in handwriting: A subtle point , 1991 .

[9]  A Heathcote,et al.  The Quarterly Journal of Experimental Psychology Section A: Human Experimental Psychology Response-time Dynamics: Evidence for Linear and Low-dimensional Nonlinear Structure in Human Choice Sequences , 2022 .

[10]  C. Essex,et al.  Correlation dimension and systematic geometric effects. , 1990, Physical Review A. Atomic, Molecular, and Optical Physics.

[11]  秦 浩起,et al.  Characterization of Strange Attractor (カオスとその周辺(基研長期研究会報告)) , 1987 .

[12]  James Theiler,et al.  Testing for nonlinearity in time series: the method of surrogate data , 1992 .

[13]  P E Rapp,et al.  A guide to dynamical analysis , 1994, Integrative physiological and behavioral science : the official journal of the Pavlovian Society.

[14]  P. Grassberger,et al.  Characterization of Strange Attractors , 1983 .

[15]  Nadine Aubry,et al.  The dynamics of coherent structures in the wall region of a turbulent boundary layer , 1988, Journal of Fluid Mechanics.

[16]  Karl M. Newell,et al.  On postural stability and variability , 1993 .

[17]  C. R. Cavonius,et al.  Dynamic complexity of visuo-motor coordination: an extension of Bernstein’s conception of the degrees-of-freedom problem , 1996, Biological Cybernetics.

[18]  T. Aziz,et al.  Tremor in multiple sclerosis , 1999, Journal of neurology, neurosurgery, and psychiatry.

[19]  James P. Crutchfield,et al.  Geometry from a Time Series , 1980 .

[20]  Mitchell G Longstaff,et al.  A nonlinear analysis of the temporal characteristics of handwriting , 1999 .

[21]  G. E. Stelmach,et al.  Interjoint coordination during handwriting-like movements , 2000, Experimental Brain Research.

[22]  L. Olsen,et al.  Chaos in biological systems. , 1985 .

[23]  A. Babloyantz,et al.  Low-dimensional chaos in an instance of epilepsy. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[24]  G P Van Galen,et al.  Dysgraphia in children: lasting psychomotor deficiency or transient developmental delay? , 1997, Journal of experimental child psychology.

[25]  P. Bain,et al.  Evaluation of three different ways of assessing tremor in multiple sclerosis , 2000, Journal of neurology, neurosurgery, and psychiatry.

[26]  P. Bain,et al.  A study of tremor in multiple sclerosis. , 2001, Brain : a journal of neurology.

[27]  A. Wolf,et al.  Determining Lyapunov exponents from a time series , 1985 .

[28]  J. E. Skinner,et al.  Chaotic attractors in a model of neocortex: dimensionalities of olfactory bulb surface potentials are spatially uniform and event related , 1990 .

[29]  A. Colley,et al.  Cognition and action in skilled behaviour , 1988 .

[30]  Alfonso M Albano,et al.  Data Requirements for Reliable Estimation of Correlation Dimensions , 1987 .

[31]  L. Stark,et al.  An intrinsic mechanism for the oscillatory contraction of muscle , 1986, Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[32]  Zbigniew R. Struzik,et al.  The fractal dimension of handwriting , 1994 .

[33]  C. G. Leedham,et al.  Handwriting and Drawing Research: Basic and Applied Issues , 1996 .

[34]  Polemnia G. Amazeen,et al.  Is Dynamics the Content of a Generalized Motor Program for Rhythmic Interlimb Coordination? , 2002, Journal of motor behavior.

[35]  R. Sandyk,et al.  Weak electromagnetic fields attenuate tremor in multiple sclerosis. , 1994, The International journal of neuroscience.

[36]  M. Turvey,et al.  Intermediate motor learning as decreasing active (dynamical) degrees of freedom , 1998 .

[37]  Lambert Schomaker,et al.  FITTS LAW AS A LOW-PASS FILTER EFFECT OF MUSCLE-STIFFNESS , 1992 .

[38]  K. M. Newell,et al.  The dynamical structure of tremor in tardive dyskinesia. , 1995, Chaos.

[39]  J E Skinner,et al.  Correlation dimension of heartbeat intervals is reduced in conscious pigs by myocardial ischemia. , 1991, Circulation research.

[40]  K. H. Homann C. Vidal, A. Pacault: (Eds.): Nonlinear Phenomena in Chemical Dynamics; Proceedings of an International Conference, Bordeaux, France; Vol. 12 aus: Springer Series in Synergetics, Springer-Verlag, Berlin, Heidelberg, New York 1981. 280 Seiten, Preis: DM 70,— , 1983 .

[41]  C. Vidal,et al.  Nonlinear Phenomena in Chemical Dynamics , 1981 .

[42]  Raymond E. Ideker,et al.  Chaos in the Heart: Implications for Clinical Cardiology , 1990, Bio/Technology.

[43]  G P Van Galen,et al.  Auditory stress effects on preparation and execution of graphical aiming: a test of the neuromotor noise concept. , 1998, Acta psychologica.

[44]  David Ruelle,et al.  Chemical Kinetics and Differentiable Dynamical Systems , 1981 .

[45]  G P Van Galen,et al.  Stress, neuromotor noise, and human performance: a theoretical perspective. , 1997, Journal of experimental psychology. Human perception and performance.

[46]  John M. Hollerbach,et al.  Dynamic interactions between limb segments during planar arm movement , 1982, Biological Cybernetics.

[47]  P. Thompson,et al.  Assessing tremor severity. , 1993, Journal of neurology, neurosurgery, and psychiatry.

[48]  C. Elger,et al.  CAN EPILEPTIC SEIZURES BE PREDICTED? EVIDENCE FROM NONLINEAR TIME SERIES ANALYSIS OF BRAIN ELECTRICAL ACTIVITY , 1998 .

[49]  G. V. Galen,et al.  The Acquisition of Skilled Handwriting: Discontinuous Trends in Kinematic Variables , 1988 .

[50]  R. Quiroga,et al.  Chaos in Brain Function , 1990 .

[51]  G E Stelmach,et al.  Discrete and dynamic scaling of the size of continuous graphic movements of parkinsonian patients and elderly controls , 2003, Journal of neurology, neurosurgery, and psychiatry.

[52]  B. Kay The dimensionality of movement trajectories and the degrees of freedom problem: A tutorial , 1988 .

[53]  J. P. Wann,et al.  Space-time invariance in handwriting: Contrasts between primary school children displaying advanced or retarded handwriting acquisition☆ , 1986 .

[54]  Richard A. Heath,et al.  Space-time invariance in adult handwriting , 1997 .

[55]  Denis Mottet,et al.  The dynamics of goal-directed rhythmical aiming , 1999, Biological Cybernetics.

[56]  M. Turvey,et al.  Chaos in Human Rhythmic Movement. , 1997, Journal of motor behavior.

[57]  Chung-Ming Kuan,et al.  Forecasting exchange rates using feedforward and recurrent neural networks , 1992 .

[58]  M. Turvey,et al.  Advantages of Rhythmic Movements at Resonance: Minimal Active Degrees of Freedom, Minimal Noise, and Maximal Predictability , 2000, Journal of motor behavior.

[59]  Karl M Newell,et al.  The dynamics of resting and postural tremor in Parkinson's disease , 2000, Clinical Neurophysiology.

[60]  T. Sauer A noise reduction method for signals from nonlinear systems , 1992 .

[61]  James E. Skinner,et al.  The point correlation dimension: Performance with nonstationary surrogate data and noise , 1994, Integrative physiological and behavioral science : the official journal of the Pavlovian Society.

[62]  K. Newell,et al.  Dimensional change in motor learning. , 2001, Human movement science.

[63]  Alan M. Wing,et al.  Development of graphic skills: Research perspectives and educational implications. , 1991 .

[64]  D. T. Kaplan,et al.  Aging and the complexity of cardiovascular dynamics. , 1991, Biophysical journal.

[65]  R A Heath,et al.  Detecting nonlinearity in psychological data: Techniques and applications , 2000, Behavior research methods, instruments, & computers : a journal of the Psychonomic Society, Inc.

[66]  Mitchell G Longstaff A theoretical and empirical investigation of the performance and clinical diagnostic value of handwriting and other graphic skills , 2000 .

[67]  Mitchell G Longstaff,et al.  The influence of tremor on handwriting performance under conditions of low and intermediate physical stress , 2000 .