Trajectory formation based on physiological characteristics of skeletal muscles

Abstract. Human arm trajectories in natural unrestricted reaching movements were studied. They have particular properties such that a hand path is a rather simple straight or curved line, and a tangential velocity profile of hand is bell-shaped. Also these properties are invariant, independent of movement duration and hand-held load. In this study, trajectory formation is investigated on the basis of physiological characteristics of skeletal muscles, and a criterion prescribed by a derivative of isometric muscle torque is proposed. Subsequently, optimal trajectories are formulated under various conditions of movement to account for a planning strategy of human arm trajectories. In addition to such a theoretical approach, human arm trajectories are experimentally observed by a measuring system which provides a visual sensor and a target tracking device, enabling totally unrestricted movements. Then, optimal trajectories are quantitatively evaluated in comparison with experimental data in which essential properties of human arm trajectories are demonstrated. These results support the idea that human arm trajectories are planned in order to minimize the proposed criterion which is determined from physiological aspects. Finally, the physiological advantages of human arm trajectories are discussed with regard to the analysis of observed and optimal trajectories.

[1]  Arthur E. Bryson,et al.  Applied Optimal Control , 1969 .

[2]  E. Bizzi,et al.  Human arm trajectory formation. , 1982, Brain : a journal of neurology.

[3]  N. Curtin,et al.  Energetic aspects of muscle contraction. , 1985, Monographs of the Physiological Society.

[4]  H. Mashima,et al.  The force-load-velocity relation and the viscous-like force in the frog skeletal muscle. , 1972, The Japanese journal of physiology.

[5]  T. Flash,et al.  The coordination of arm movements: an experimentally confirmed mathematical model , 1985, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[6]  E. Bizzi,et al.  Posture control and trajectory formation during arm movement , 1984, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[7]  Ning Lan,et al.  Analysis of an optimal control model of multi-joint arm movements , 1997, Biological Cybernetics.

[8]  C. Atkeson,et al.  Kinematic features of unrestrained vertical arm movements , 1985, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[9]  Nobutoshi Yamazaki,et al.  BIOMECHANICAL CRITERIA FOR DETERMINATION OF MOTIONS IN THE UPPER EXTREMITY , 1986 .

[10]  Alexander Rm,et al.  A minimum energy cost hypothesis for human arm trajectories. , 1997 .

[11]  J. F. Soechting,et al.  Invariant characteristics of a pointing movement in man , 1981, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[12]  William S. Levine,et al.  The Optimal Control of a Movement of the Human Upper Extremity 1 , 1994 .

[13]  Jack M. Winters,et al.  Analysis of Fundamental Human Movement Patterns Through the Use of In-Depth Antagonistic Muscle Models , 1985, IEEE Transactions on Biomedical Engineering.