Compliant ankle function results in landing-take off asymmetry in legged locomotion.

The spring loaded inverted pendulum (SLIP) model is widely used to predict and explain basic characteristics of human walking and running. Its periodic running solutions can be mirrored at the instant of the vertical orientation of the leg and thus are symmetric between landing and take-off. In contrast, human running shows asymmetries between touchdown and take-off (e.g. shorter brake than push duration, greater mean ground reaction force during braking phase). Yet it is not fully understood whether these asymmetries are caused by asymmetric muscle properties (e.g. velocity-dependent force generation) or the asymmetric lever arm system in the human leg. We extend the SLIP model by a foot segment and a compliant ankle joint. This represents the extended foot contact and the displacement of the center of pressure during contact. With this model we investigate to which extent the landing-take off asymmetry in legged locomotion is caused by this asymmetric lever arm system. We find similar landing-take off asymmetries as in human running suggesting that the asymmetric lever arm system contributes to the asymmetry.

[1]  I. Davis,et al.  Foot strike patterns and collision forces in habitually barefoot versus shod runners , 2010, Nature.

[2]  Hartmut Witte,et al.  JOINT ENERGY BALANCES: THE COMMITMENT TO THE SYNCHRONIZATION OF MEASURING SYSTEMS , 2005 .

[3]  G A Cavagna,et al.  Running backwards: soft landing–hard takeoff, a less efficient rebound , 2010, Proceedings of the Royal Society B: Biological Sciences.

[4]  David A. Winter,et al.  Biomechanics and Motor Control of Human Movement , 1990 .

[5]  R. Josephson Mechanical Power output from Striated Muscle during Cyclic Contraction , 1985 .

[6]  Reinhard Blickhan,et al.  Compliant leg behaviour explains basic dynamics of walking and running , 2006, Proceedings of the Royal Society B: Biological Sciences.

[7]  P. Komi,et al.  Mechanical step variability during treadmill running , 2004, European Journal of Applied Physiology and Occupational Physiology.

[8]  M. Bobbert,et al.  Mechanical output from individual muscles during explosive leg extensions: the role of biarticular muscles. , 1996, Journal of biomechanics.

[9]  A. Seyfarth,et al.  Combining forces and kinematics for calculating consistent centre of mass trajectories , 2011, Journal of Experimental Biology.

[10]  Susanne W. Lipfert,et al.  Effective leg stiffness in running. , 2009, Journal of biomechanics.

[11]  Andre Seyfarth,et al.  A work-loop method for characterizing leg function during sagittal plane movements. , 2013, Journal of applied biomechanics.

[12]  D. De Clercq,et al.  Temporal characteristics of foot roll-over during barefoot jogging: reference data for young adults. , 2005, Gait & posture.

[13]  R J Full,et al.  Templates and anchors: neuromechanical hypotheses of legged locomotion on land. , 1999, The Journal of experimental biology.

[14]  M. A. Legramandi,et al.  The bounce of the body in hopping, running and trotting: different machines with the same motor , 2009, Proceedings of the Royal Society B: Biological Sciences.

[15]  André Seyfarth,et al.  Foot Function in Spring Mass Running , 2009, AMS.

[16]  Giovanni A. Cavagna,et al.  Symmetry and Asymmetry in Bouncing Gaits , 2010, Symmetry.

[17]  Michael Günther,et al.  Diverging times in movement analysis. , 2009, Journal of biomechanics.

[18]  T. McMahon,et al.  The mechanics of running: how does stiffness couple with speed? , 1990, Journal of biomechanics.

[19]  Michael Günther,et al.  Joint stiffness of the ankle and the knee in running. , 2002, Journal of biomechanics.

[20]  A Seyfarth,et al.  Robust and efficient walking with spring-like legs , 2010, Bioinspiration & biomimetics.

[21]  P R Cavanagh,et al.  Ground reaction forces in distance running. , 1980, Journal of biomechanics.

[22]  G. Cavagna Force platforms as ergometers. , 1975, Journal of applied physiology.

[23]  Tad McGeer,et al.  Passive Dynamic Walking , 1990, Int. J. Robotics Res..

[24]  R. Blickhan The spring-mass model for running and hopping. , 1989, Journal of biomechanics.

[25]  D. De Clercq,et al.  The trajectory of the centre of pressure during barefoot running as a potential measure for foot function. , 2008, Gait & posture.

[26]  Andrew H Hansen,et al.  Roll-over shapes of human locomotor systems: effects of walking speed. , 2004, Clinical biomechanics.

[27]  G. Cavagna The landing–take-off asymmetry in human running , 2006, Journal of Experimental Biology.

[28]  Reinhard Blickhan,et al.  A movement criterion for running. , 2002, Journal of biomechanics.

[29]  Novacheck,et al.  The biomechanics of running. , 1998, Gait & posture.

[30]  Murray Mp,et al.  Center of gravity, center of pressure, and supportive forces during human activities. , 1967 .

[31]  S. Bullimore,et al.  Consequences of forward translation of the point of force application for the mechanics of running. , 2006, Journal of theoretical biology.

[32]  C. T. Farley,et al.  Determinants of the center of mass trajectory in human walking and running. , 1998, The Journal of experimental biology.