Optimization of two-joint arm movements: a model technique or a result of natural selection?

The fossil record of early hominids suggests that their Arm length, and presumably stature and weight, had a tendency to increase. Using the minimum jerk principle and a related formulation of averaged specific power, ASP, with regard to selected two-joint Arm movements, the current paper explores relationships between ASP, hand trajectory length (or Arm length, or body mass) and mean movement speed, deriving relationships which indicate that ASP is proportional to cubic mean movement speed, but inversely proportional to hand trajectory length (or Arm length, or 1/3 power of body mass). Accordingly, an `ecological niche’ is modeled in a three-parameter space. Either ASP maximization for fixed movement time, or ASP minimization for fixed mean movement speed, taken as selective optimization criterion, allows the increasing of human Arm length during evolution, regardless of the arm-to-forearm length ratio.

[1]  Mitsuo Kawato,et al.  Human arm stiffness and equilibrium-point trajectory during multi-joint movement , 1997, Biological Cybernetics.

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

[3]  C. R. Taylor,et al.  Force development during sustained locomotion: a determinant of gait, speed and metabolic power. , 1985, The Journal of experimental biology.

[4]  F A Mussa-Ivaldi,et al.  Adaptive representation of dynamics during learning of a motor task , 1994, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[5]  H Preuschoft,et al.  Body posture and mode of locomotion in early Pleistocene hominids. , 1971, Folia primatologica; international journal of primatology.

[6]  H. Cruse,et al.  A network model for the control of the movement of a redundant manipulator , 2004, Biological Cybernetics.

[7]  Réjean Plamondon,et al.  A kinematic theory of rapid human movements , 1995, Biological Cybernetics.

[8]  T. Yamaki,et al.  Irradiation effects on the metabolism of metastatic brain tumors: analysis by positron emission tomography and 1H-magnetic resonance spectroscopy. , 1996, Stereotactic and functional neurosurgery.

[9]  Optimum ratio of upper to lower limb lengths in hand-carrying of a load under the assumption of frequency coordination. , 2003, Journal of biomechanics.

[10]  P. R. Bevington,et al.  Data Reduction and Error Analysis for the Physical Sciences, 2nd ed. , 1993 .

[11]  Pietro Morasso,et al.  Movement dynamics in speed/accuracy trade-off , 1997 .

[12]  C. R. Taylor,et al.  Scaling of energetic cost of running to body size in mammals. , 1970, The American journal of physiology.

[13]  T. McMahon,et al.  Energetic Cost of Generating Muscular Force During Running: A Comparison of Large and Small Animals , 1980 .

[14]  Emilio Bizzi,et al.  Combinations of muscle synergies in the construction of a natural motor behavior , 2003, Nature Neuroscience.

[15]  L. Aiello,et al.  An Introduction to Human Evolutionary Anatomy. , 1992 .

[16]  P. Viviani,et al.  The law relating the kinematic and figural aspects of drawing movements. , 1983, Acta psychologica.

[17]  W. L. Nelson.  Physical principles for economies of skilled movements , 1983, Biological Cybernetics.

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

[19]  N. Draper,et al.  Applied Regression Analysis: Draper/Applied Regression Analysis , 1998 .

[20]  Réjean Plamondon,et al.  A kinematic theory of rapid human movements , 1995, Biological Cybernetics.

[21]  J M Mansour,et al.  An experimentally based nonlinear viscoelastic model of joint passive moment. , 1996, Journal of biomechanics.

[22]  E Burdet,et al.  A method for measuring endpoint stiffness during multi-joint arm movements. , 2000, Journal of biomechanics.

[23]  E. Bizzi,et al.  Neural, mechanical, and geometric factors subserving arm posture in humans , 1985, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[24]  C. S. G. Lee,et al.  Robotics: Control, Sensing, Vision, and Intelligence , 1987 .

[25]  P. Morasso.  Spatial control of arm movements , 2004, Experimental Brain Research.

[26]  E Bizzi,et al.  Motor learning through the combination of primitives. , 2000, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[27]  Margaret Rose.  The process of bipedalization in hominids , 1991 .

[28]  E. Bizzi,et al.  A neural network model for limb trajectory formation , 1989, Biological Cybernetics.

[29]  P. Morasso,et al.  Kinematic networks , 1988, Biological Cybernetics.

[30]  S. Churchill,et al.  A modern human humerus from the early aurignacian of Vogelherdhöhle (Stetten, Germany). , 2000, American journal of physical anthropology.

[31]  W Herzog,et al.  Articular cartilage biomechanics: theoretical models, material properties, and biosynthetic response. , 1999, Critical reviews in biomedical engineering.

[32]  Y. Coppens,et al.  Origine(s) de la bipédie chez les hominidés , 1991 .

[33]  J. Polk,et al.  Adaptive and phylogenetic influences on musculoskeletal design in cercopithecine primates. , 2002, The Journal of experimental biology.

[34]  N. Draper,et al.  Applied Regression Analysis , 1966 .

[35]  Christine M. Haslegrave,et al.  Bodyspace: Anthropometry, Ergonomics and the Design of Work, Third Edition , 2016 .

[36]  Christine M. Haslegrave,et al.  Bodyspace: Anthropometry, Ergonomics And The Design Of Work , 1986 .

[37]  R H Crompton,et al.  Size and power required for motion with implication for the evolution of early hominids. , 2003, Journal of biomechanics.

[38]  P. R. Bevington,et al.  Data Reduction and Error Analysis for the Physical Sciences , 1969 .

[39]  M. Kawato,et al.  Formation and control of optimal trajectory in human multijoint arm movement , 1989, Biological Cybernetics.

[40]  M. L. Chambers.  The Mathematical Theory of Optimal Processes , 1965 .

[41]  A. Popescu.  Bionics, Biological Systems and the Principle of Optimal Design , 1998, Acta biotheoretica.

[42]  L. S. Pontryagin,et al.  Mathematical Theory of Optimal Processes , 1962 .

[43]  M Suzuki,et al.  Application of the minimum jerk model to formation of the trajectory of the centre of mass during multijoint limb movements. , 1996, Folia primatologica; international journal of primatology.

[44]  H. Preuschoft,et al.  Human body proportions explained on the basis of biomechanical principles. , 1991, Zeitschrift fur Morphologie und Anthropologie.

[45]  R. Caimmi,et al.  What is hidden behind the concept of ecosystem efficiency in energy transformation , 2003 .

[46]  Lene Theil Skovgaard,et al.  Applied regression analysis. 3rd edn. N. R. Draper and H. Smith, Wiley, New York, 1998. No. of pages: xvii+706. Price: £45. ISBN 0‐471‐17082‐8 , 2000 .

[47]  C. Ruff,et al.  Postcranial robusticity in Homo. I: Temporal trends and mechanical interpretation. , 1993, American journal of physical anthropology.

[48]  Rieko Osu,et al.  The central nervous system stabilizes unstable dynamics by learning optimal impedance , 2001, Nature.

[49]  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.

[50]  Geoffrey B. West,et al.  Life's Universal Scaling Laws , 2004 .