Influence of joint models on lower-limb musculo-tendon forces and three-dimensional joint reaction forces during gait

Several three-dimensional (3D) lower-limb musculo-skeletal models have been developed for gait analysis and different hip, knee and ankle joint models have been considered in the literature. Conversely to the influence of the musculo-tendon geometry, the influence of the joint models - i.e. number of degrees of freedom and passive joint moments - on the estimated musculo-tendon forces and 3D joint reaction forces has not been extensively examined. In this paper musculo-tendon forces and 3D joint reaction forces have been estimated for one subject and one gait cycle with nine variations of a musculoskeletal model and outputs have been compared to measured electromyographic signals and knee joint contact forces. The model outputs are generally in line with the measured signals. However, the 3D joint reaction forces were higher than published values and the contact forces measured for the subject. The results of this study show that, with more degrees of freedom in the model, the musculo-tendon forces and the 3D joint reaction forces tend to increase but with some redistribution between the muscles. In addition, when taking into account passive joint moments, the 3D joint reaction forces tend to decrease during the stance phase and increase during the swing phase. Although further investigations are needed, a five-degree-of-freedom lower-limb musculo-skeletal model with some angle-dependent joint coupling and stiffness seems to provide satisfactory musculo-tendon forces and 3D joint reaction forces.

[1]  Rositsa Raikova,et al.  INVESTIGATION OF THE INFLUENCE OF THE ELBOW JOINT REACTION ON THE PREDICTED MUSCLE FORCES USING DIFFERENT OPTIMIZATION FUNCTIONS , 2009 .

[2]  Scott L. Delp,et al.  A Model of the Lower Limb for Analysis of Human Movement , 2010, Annals of Biomedical Engineering.

[3]  Sonia Duprey,et al.  Influence of joint constraints on lower limb kinematics estimation from skin markers using global optimization. , 2010, Journal of biomechanics.

[4]  H. Röhrle,et al.  Joint forces in the human pelvis-leg skeleton during walking. , 1984, Journal of biomechanics.

[5]  M L Audu,et al.  The influence of muscle model complexity in musculoskeletal motion modeling. , 1985, Journal of biomechanical engineering.

[6]  M. Pandy,et al.  Individual muscle contributions to support in normal walking. , 2003, Gait & posture.

[7]  S L Delp,et al.  A graphics-based software system to develop and analyze models of musculoskeletal structures. , 1995, Computers in biology and medicine.

[8]  R Dumas,et al.  Hip and knee joints are more stabilized than driven during the stance phase of gait: an analysis of the 3D angle between joint moment and joint angular velocity. , 2008, Gait & posture.

[9]  G. Bergmann,et al.  Hip contact forces and gait patterns from routine activities. , 2001, Journal of biomechanics.

[10]  G. Bergmann,et al.  Musculo-skeletal loading conditions at the hip during walking and stair climbing. , 2001, Journal of biomechanics.

[11]  Raffaele Di Gregorio,et al.  Mathematical models of passive motion at the human ankle joint by equivalent spatial parallel mechanisms , 2007, Medical & Biological Engineering & Computing.

[12]  Marcus G Pandy,et al.  Muscle and joint function in human locomotion. , 2010, Annual review of biomedical engineering.

[13]  S. Delp,et al.  Effects of hip center location on the moment-generating capacity of the muscles. , 1993, Journal of biomechanics.

[14]  Amy B. Zavatsky,et al.  Technical note A constraint-based approach to modelling the mobility of the human knee joint , 2003 .

[15]  G Van der Perre,et al.  Subject-specific hip geometry affects predicted hip joint contact forces during gait. , 2007, Journal of biomechanics.

[16]  Philip S Requejo,et al.  Joint moment contributions to swing knee extension acceleration during gait in individuals with spastic diplegic cerebral palsy. , 2011, Gait & posture.

[17]  K. Kaufman,et al.  Prediction of Muscle Recruitment and Its Effect on Joint Reaction Forces during Knee Exercises , 1998, Annals of Biomedical Engineering.

[18]  G Bergmann,et al.  Direct comparison of calculated hip joint contact forces with those measured using instrumented implants. An evaluation of a three-dimensional mathematical model of the lower limb. , 2003, Journal of biomechanics.

[19]  B. MacWilliams,et al.  A computationally efficient optimisation-based method for parameter identification of kinematically determinate and over-determinate biomechanical systems , 2010, Computer methods in biomechanics and biomedical engineering.

[20]  J. Higginson,et al.  Sensitivity of estimated muscle force in forward simulation of normal walking. , 2010, Journal of applied biomechanics.

[21]  F. Zajac Understanding muscle coordination of the human leg with dynamical simulations. , 2002, Journal of biomechanics.

[22]  A Seireg,et al.  The prediction of muscular lad sharing and joint forces in the lower extremities during walking. , 1975, Journal of biomechanics.

[23]  Hartmut Witte,et al.  ISB recommendation on definitions of joint coordinate system of various joints for the reporting of human joint motion--part I: ankle, hip, and spine. International Society of Biomechanics. , 2002, Journal of biomechanics.

[24]  M. Damsgaard,et al.  Kinematic analysis of over-determinate biomechanical systems , 2009, Computer methods in biomechanics and biomedical engineering.

[25]  Lutz Claes,et al.  Internal loads in the human tibia during gait. , 2009, Clinical biomechanics.

[26]  M. Pandy,et al.  A Three-Dimensional Musculoskeletal Model of the Human Knee Joint. Part 1: Theoretical Construction , 1997 .

[27]  F.E. Zajac,et al.  An interactive graphics-based model of the lower extremity to study orthopaedic surgical procedures , 1990, IEEE Transactions on Biomedical Engineering.

[28]  Carlo J. De Luca,et al.  The Use of Surface Electromyography in Biomechanics , 1997 .

[29]  J J O'Connor,et al.  Bone position estimation from skin marker co-ordinates using global optimisation with joint constraints. , 1999, Journal of biomechanics.

[30]  May Q. Liu,et al.  Muscles that support the body also modulate forward progression during walking. , 2006, Journal of biomechanics.

[31]  P S Walker,et al.  The effects of knee brace hinge design and placement on joint mechanics. , 1988, Journal of biomechanics.

[32]  R. Crowninshield,et al.  A physiologically based criterion of muscle force prediction in locomotion. , 1981, Journal of biomechanics.

[33]  A M J Bull,et al.  Lower-extremity musculoskeletal geometry affects the calculation of patellofemoral forces in vertical jumping and weightlifting , 2010, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[34]  M G Pandy,et al.  Computer modeling and simulation of human movement. , 2001, Annual review of biomedical engineering.

[35]  M. Pandy,et al.  Dynamic optimization of human walking. , 2001, Journal of biomechanical engineering.

[36]  Walter Herzog,et al.  Model-based estimation of muscle forces exerted during movements. , 2007, Clinical biomechanics.

[37]  I Jonkers,et al.  Kalman smoothing improves the estimation of joint kinematics and kinetics in marker-based human gait analysis. , 2008, Journal of biomechanics.

[38]  David E. Hardt,et al.  Determining Muscle Forces in the Leg During Normal Human Walking—An Application and Evaluation of Optimization Methods , 1978 .

[39]  R. Brand,et al.  The sensitivity of muscle force predictions to changes in physiologic cross-sectional area. , 1986, Journal of biomechanics.

[40]  J. W. Kamman,et al.  Constrained multibody system dynamics: An automated approach , 1984 .

[41]  J J Collins,et al.  The redundant nature of locomotor optimization laws. , 1995, Journal of biomechanics.

[42]  P O Riley,et al.  Propulsive adaptation to changing gait speed. , 2001, Journal of biomechanics.

[43]  Richard R Neptune,et al.  All joint moments significantly contribute to trunk angular acceleration. , 2010, Journal of biomechanics.

[44]  Anthony M. J. Bull,et al.  An Optimization-Based Simultaneous Approach to the Determination of Muscular, Ligamentous, and Joint Contact Forces Provides Insight into Musculoligamentous Interaction , 2011, Annals of Biomedical Engineering.

[45]  Musa Audu,et al.  A model-based study of passive joint properties on muscle effort during static stance. , 2006, Journal of biomechanics.

[46]  Raphaël Dumas,et al.  Anatomical kinematic constraints: consequences on musculo-tendon forces and joint reactions , 2012 .

[47]  Marcus G Pandy,et al.  Simultaneous prediction of muscle and contact forces in the knee during gait. , 2010, Journal of biomechanics.

[48]  Michael H Schwartz,et al.  A baseline of dynamic muscle function during gait. , 2006, Gait & posture.

[49]  M. Pandy,et al.  Pattern of anterior cruciate ligament force in normal walking. , 2004, Journal of biomechanics.

[50]  J. García de Jalón,et al.  Natural coordinates for the computer analysis of multibody systems , 1986 .

[51]  R Al Nazer,et al.  Flexible multibody simulation approach in the analysis of tibial strain during walking. , 2008, Journal of biomechanics.

[52]  Rachid Ait-Haddou,et al.  Predictions of co-contraction depend critically on degrees-of-freedom in the musculoskeletal model. , 2006, Journal of biomechanics.

[53]  Michael R. Pierrynowski,et al.  Estimating the muscle forces generated in the human lower extremity when walking: a physiological solution , 1985 .

[54]  Stephen J Piazza,et al.  Muscle-driven forward dynamic simulations for the study of normal and pathological gait , 2006, Journal of NeuroEngineering and Rehabilitation.

[55]  F. Zajac,et al.  Contributions of the individual ankle plantar flexors to support, forward progression and swing initiation during walking. , 2001, Journal of biomechanics.

[56]  M. Pandy,et al.  Muscular contributions to hip and knee extension during the single limb stance phase of normal gait: a framework for investigating the causes of crouch gait. , 2005, Journal of biomechanics.

[57]  J. O'Connor,et al.  Ligaments and articular contact guide passive knee flexion. , 1998, Journal of biomechanics.

[58]  H. Hatze The complete optimization of a human motion , 1976 .

[59]  Jill S. Higginson,et al.  Muscle function may depend on model selection in forward simulation of normal walking. , 2008, Journal of biomechanics.

[60]  Thomas M Kepple,et al.  Muscle-induced accelerations at maximum activation to assess individual muscle capacity during movement. , 2009, Journal of biomechanics.

[61]  L. Barnes,et al.  Determination of ankle muscle power in normal gait using an EMG-to-force processing approach. , 2010, Journal of electromyography and kinesiology : official journal of the International Society of Electrophysiological Kinesiology.

[62]  Tung-Wu Lu,et al.  In vivo three-dimensional kinematics of the normal knee during active extension under unloaded and loaded conditions using single-plane fluoroscopy. , 2008, Medical engineering & physics.

[63]  Mikhail Kuznetsov,et al.  Filtering the surface EMG signal: Movement artifact and baseline noise contamination. , 2010, Journal of biomechanics.

[64]  S R Simon,et al.  An evaluation of the approaches of optimization models in the prediction of muscle forces during human gait. , 1981, Journal of biomechanics.

[65]  W Baumann,et al.  The three-dimensional determination of internal loads in the lower extremity. , 1997, Journal of biomechanics.

[66]  Denis Gillet,et al.  musculoskeletal shoulder model based on pseudoinverse and null-space ptimization , 2010 .

[67]  Johan Bellemans,et al.  The influence of muscle load on tibiofemoral knee kinematics , 2009, Journal of Orthopaedic Research.

[68]  H F J M Koopman,et al.  Morphological muscle and joint parameters for musculoskeletal modelling of the lower extremity. , 2005, Clinical biomechanics.

[69]  Jaco F Schutte,et al.  Determination of patient-specific multi-joint kinematic models through two-level optimization. , 2005, Journal of biomechanics.

[70]  David G Lloyd,et al.  Estimation of muscle forces and joint moments using a forward-inverse dynamics model. , 2005, Medicine and science in sports and exercise.

[71]  J. O'Connor,et al.  A constraint-based approach to modelling the mobility of the human knee joint. , 2003, Journal of biomechanics.

[72]  T. Kepple,et al.  Relative contributions of the lower extremity joint moments to forward progression and support during gait , 1997 .

[73]  T. B. Kirk,et al.  Muscle and external load contribution to knee joint contact loads during normal gait. , 2009, Journal of biomechanics.

[74]  V Parenti-Castelli,et al.  A new one-DOF fully parallel mechanism for modelling passive motion at the human tibiotalar joint. , 2009, Journal of biomechanics.

[75]  R. Riener,et al.  Identification of passive elastic joint moments in the lower extremities. , 1999, Journal of biomechanics.

[76]  R Dumas,et al.  Comparison of global and joint-to-joint methods for estimating the hip joint load and the muscle forces during walking. , 2009, Journal of biomechanics.

[77]  Raphaël Dumas,et al.  3D inverse dynamics in non-orthonormal segment coordinate system , 2007, Medical & Biological Engineering & Computing.

[78]  M L Hull,et al.  The effect of knee model on estimates of muscle and joint forces in recumbent pedaling. , 2010, Journal of biomechanical engineering.

[79]  Victor Sholukha,et al.  Double-step registration of in vivo stereophotogrammetry with both in vitro 6-DOFs electrogoniometry and CT medical imaging. , 2006, Journal of biomechanics.

[80]  David G Lloyd,et al.  Neuromusculoskeletal modeling: estimation of muscle forces and joint moments and movements from measurements of neural command. , 2004, Journal of applied biomechanics.

[81]  P. Requejo,et al.  Joint moment contributions to swing knee extension acceleration during gait in children with spastic hemiplegic cerebral palsy. , 2010, Journal of biomechanics.

[82]  Vladimir M Zatsiorsky,et al.  Optimization-Based Models of Muscle Coordination , 2002, Exercise and sport sciences reviews.

[83]  M L Audu,et al.  A dynamic optimization technique for predicting muscle forces in the swing phase of gait. , 1987, Journal of biomechanics.

[84]  E Y Chao,et al.  Internal forces and moments in the femur during walking. , 1997, Journal of biomechanics.

[85]  B. MacWilliams,et al.  A musculoskeletal foot model for clinical gait analysis. , 2010, Journal of biomechanics.

[86]  Marcus G Pandy,et al.  Grand challenge competition to predict in vivo knee loads , 2012, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[87]  A M J Bull,et al.  Knee and hip joint forces – sensitivity to the degrees of freedom classification at the knee , 2011, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[88]  Steven J Stanhope,et al.  Using induced accelerations to understand knee stability during gait of individuals with muscle weakness. , 2006, Gait & posture.

[89]  Marcus G Pandy,et al.  Sensitivity of muscle force estimates to variations in muscle-tendon properties. , 2007, Human movement science.

[90]  J. Collins,et al.  Muscle-Ligament Interactions at the Knee during Walking , 1991, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[91]  Mukul Talaty,et al.  The impact of adding trunk motion to the interpretation of the role of joint moments during normal walking. , 2007, Journal of biomechanics.

[92]  I Jonkers,et al.  A physiology based inverse dynamic analysis of human gait: potential and perspectives , 2009, Computer methods in biomechanics and biomedical engineering.

[93]  D. Thelen,et al.  The contribution of passive-elastic mechanisms to lower extremity joint kinetics during human walking. , 2008, Gait & posture.