Abstract
Static Optimization (SO) procedures are commonly used to estimate muscle forces and joint loads from kinematics and external force data. The method of modeling hand–mass interaction during lifting tasks may affect the kinematics and/or external forces applied to the model, yet the extent to which different modeling decisions affect the estimated spinal joint loads is unknown. The present work compares five hand–mass interaction modeling approaches that differ in the complexity of implementation and runtime for the kinematic and SO analyses during two-handed lifting tasks. Intraclass correlation coefficients demonstrated strong agreement among the modeling approaches for the prediction of both maximum and average L5S1 resultant forces across all tasks. However, the five modeling approaches resulted in maximum relative differences in the L5S1 resultant force of up to 35% (2.6 kN). To compare the accuracy of each modeling approach, the resulting dynamic inconsistencies (i.e., residual forces and moments) were evaluated. The approach that resulted in the overall lowest residuals and incurred the least computational expense is recommended in the present study. The present work illustrates how different external-load modeling approaches can result in substantial differences in predicted spinal loads, especially as the movement speed increases, and how some models may perform better in terms of residual forces.
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Abbreviations
- BK:
-
Body kinematics
- COM:
-
Center of mass
- COP:
-
Center of pressure
- EHF&M:
-
External hand forces and moments
- FD:
-
Forward dynamics
- GRF&M:
-
Ground reaction forces and moments
- ICC:
-
Intraclass correlation coefficient
- ID:
-
Inverse dynamics
- IK:
-
Inverse kinematics
- LFB:
-
Lifting full-body
- RRA:
-
Residual Reduction Algorithm
- SO:
-
Static Optimization
References
Ren, L., Qian, Z., Ren, L.: Biomechanics of musculoskeletal system and its biomimetic implications: a review. J. Bionics Eng. 11, 159–175 (2014)
Robert, T., Causse, J., Monnier, G.: Estimation of external contact loads using an inverse dynamics and optimization approach: general method and application to sit-to-stand maneuvers. J. Biomech. 46, 2220–2227 (2013)
Shourijeh, M.S., McPhee, J.: Foot–ground contact modeling within human gait simulations: from Kelvin–Voigt to hyper-volumetric models. Multibody Syst. Dyn. 35, 393–407 (2015)
Skals, S., Jung, M.K., Damsgaard, M., Andersen, M.S.: Prediction of ground reaction forces and moments during sports-related movements. Multibody Syst. Dyn. 39, 175–195 (2017)
Koopman, B., Grootenboer, H.J., De Jongh, H.J.: An inverse dynamics model for the analysis, reconstruction and prediction of bipedal walking. J. Biomech. 28, 1369–1376 (1995)
Ren, L., Jones, R.K., Howard, D.: Whole body inverse dynamics over a complete gait cycle based only on measured kinematics. J. Biomech. 41, 2750–2759 (2008)
Choi, A., Lee, J.-M., Mun, J.H.: Ground reaction forces predicted by using artificial neural network during asymmetric movements. Int. J. Precis. Eng. Manuf. 14, 475–483 (2013)
Oh, S.E., Choi, A., Mun, J.H.: Prediction of ground reaction forces during gait based on kinematics and a neural network model. J. Biomech. 46, 2372–2380 (2013)
Johnson, W.R., Mian, A., Donnelly, C.J., Lloyd, D., Alderson, J.: Predicting athlete ground reaction forces and moments from motion capture. Med. Biol. Eng. Comput. 56, 1781–1792 (2018)
Dorn, T.W., Lin, Y.-C., Pandy, M.G.: Estimates of muscle function in human gait depend on how foot-ground contact is modelled. Comput. Methods Biomech. Biomed. Eng. 15, 657–668 (2012)
Hamner, S.R., Seth, A., Steele, K.M., Delp, S.L.: A rolling constraint reproduces ground reaction forces and moments in dynamic simulations of walking, running, and crouch gait. J. Biomech. 46, 1772–1776 (2013)
Hamner, S.R., Seth, A., Delp, S.L.: Muscle contributions to propulsion and support during running. J. Biomech. 43, 2709–2716 (2010)
Baraff, D.: Fast contact force computation for nonpenetrating rigid bodies. In: Proceedings of the 21st Annual Conference on Computer Graphics and Interactive Techniques, Orlando, Florida, USA, pp. 23–34 (1994)
Gilchrist, L.A., Winter, D.A.: A two-part, viscoelastic foot model for use in gait simulations. J. Biomech. 29, 795–798 (1996)
Sandhu, S.S., McPhee, J.: A two-dimensional nonlinear volumetric foot contact model. In: ASME International Mechanical Engineering Congress & Exposition, Vancouver, Canada, vol. 44267, pp. 703–710 (2010)
Lopes, D.S.: Smooth convex surfaces for modeling and simulating multibody systems with compliant contact elements. Ph.D. Thesis, Instituto Superior Técnico, Universidade de Lisboa (2013)
Hicks, J.L., Uchida, T.K., Seth, A., Rajagopal, A., Delp, S.L.: Is my model good enough? Best practices for verification and validation of musculoskeletal models and simulations of movement. J. Biomech. Eng. 137, 020905 (2015)
Waters, T.R., Putz-Anderson, V., Garg, A., Fine, L.J.: Revised NIOSH equation for the design and evaluation of manual lifting tasks. Ergonomics 36, 749–776 (1993)
Genaidy, A.M., Waly, S.M., Khalil, T.M., Hidalgo, J.: Spinal compression tolerance limits for the design of manual material handling operations in the workplace. Ergonomics 36, 415–434 (1993)
Graham, R.B., Agnew, M.J., Stevenson, J.M.: Effectiveness of an on-body lifting aid at reducing low back physical demands during an automotive assembly task: assessment of EMG response and user acceptability. Appl. Ergon. 40, 936–942 (2009)
Behjati, M., Arjmand, N.: Biomechanical assessment of the NIOSH lifting equation in asymmetric load-handling activities using a detailed musculoskeletal model. Hum. Factors 61, 191–202 (2019)
Akhavanfar, M.H., Brandon, S.C.E., Brown, S.H.M., Graham, R.B.: Development of a novel MATLAB-based framework for implementing mechanical joint stability constraints within OpenSim musculoskeletal models. J. Biomech. 91, 61–68 (2019)
Bassani, T., Stucovitz, E., Qian, Z., Briguglio, M., Galbusera, F.: Validation of the AnyBody full body musculoskeletal model in computing lumbar spine loads at L4L5 level. J. Biomech. 58, 89–96 (2017)
Bruno, A.G., Burkhart, K., Allaire, B., Anderson, D.E., Bouxsein, M.L.: Spinal loading patterns from biomechanical modeling explain the high incidence of vertebral fractures in the thoracolumbar region. J. Bone Miner. Res. 32, 1282–1290 (2017)
Beaucage-Gauvreau, E., Robertson, W.S.P., Brandon, S.C.E., Fraser, R., Freeman, B.J.C., Graham, R.B., Thewlis, D., Jones, C.F.: Validation of an OpenSim full-body model with detailed lumbar spine for estimating lower lumbar spine loads during symmetric and asymmetric lifting tasks. Comput. Methods Biomech. Biomed. Eng. 22, 451–464 (2019)
Faber, G.S., Koopman, A.S., Kingma, I., Chang, C.C., Dennerlein, J.T., van Dieën, J.H.: Continuous ambulatory hand force monitoring during manual materials handling using instrumented force shoes and an inertial motion capture suit. J. Biomech. 70, 235–241 (2018)
Koopman, A.S., Kingma, I., Faber, G.S., Bornmann, J., van Dieën, J.H.: Estimating the L5S1 flexion/extension moment in symmetrical lifting using a simplified ambulatory measurement system. J. Biomech. 70, 242–248 (2018)
Faber, G.S., Chang, C.-C., Kingma, I., Dennerlein, J.T.: Estimating dynamic external hand forces during manual materials handling based on ground reaction forces and body segment accelerations. J. Biomech. 46, 2736–2740 (2013)
Muller, A., Pontonnier, C., Dumont, G.: Motion-based prediction of hands and feet contact efforts during asymmetric handling tasks. IEEE Trans. Biomed. Eng. 67, 344–352 (2020)
Fluit, R., Andersen, M.S., Kolk, S., Verdonschot, N., Koopman, H.F.J.M.: Prediction of ground reaction forces and moments during various activities of daily living. J. Biomech. 47, 2321–2329 (2014)
Featherstone, R.: Rigid Body Dynamics Algorithms. Springer, New York (2014)
Muller, A., Pontonnier, C., Robert-Lachaine, X., Dumont, G., Plamondon, A.: Motion-based prediction of external forces and moments and back loading during manual material handling tasks. Appl. Ergon. 82, 102935 (2020)
Akhavanfar, M.H., Kazemi, H., Eskandari, A.H., Arjmand, N.: Obesity and spinal loads; a combined MR imaging and subject-specific modeling investigation. J. Biomech. 70, 102–112 (2018)
Ghezelbash, F., Shirazi-Adl, A., Arjmand, N., El-Ouaaid, Z., Plamondon, A., Meakin, J.R.: Effects of sex, age, body height and body weight on spinal loads: sensitivity analyses in a subject-specific trunk musculoskeletal model. J. Biomech. 49, 3492–3501 (2016)
Bazrgari, B., Shirazi-Adl, A., Trottier, M., Mathieu, P.: Computation of trunk equilibrium and stability in free flexion–extension movements at different velocities. J. Biomech. 41, 412–421 (2008)
Damsgaard, M., Rasmussen, J., Christensen, S.T., Surma, E., De Zee, M.: Analysis of musculoskeletal systems in the AnyBody Modeling System. Simul. Model. Pract. Theory 14, 1100–1111 (2006)
Delp, S.L., Anderson, F.C., Arnold, A.S., Loan, P., Habib, A., John, C.T., Guendelman, E., Thelen, D.G.: OpenSim: open-source software to create and analyze dynamic simulations of movement. IEEE Trans. Biomed. Eng. 54, 1940–1950 (2007)
Ghezelbash, F., Shirazi-Adl, A., Plamondon, A., Arjmand, N.: Comparison of different lifting analysis tools in estimating lower spinal loads–evaluation of NIOSH criterion. J. Biomech. 112, 110024 (2020)
Seth, A., Hicks, J.L., Uchida, T.K., Habib, A., Dembia, C.L., Dunne, J.J., Ong, C.F., DeMers, M.S., Rajagopal, A., Millard, M.: OpenSim: simulating musculoskeletal dynamics and neuromuscular control to study human and animal movement. PLoS Comput. Biol. 14, e1006223 (2018)
Raabe, M.E., Chaudhari, A.M.W.: An investigation of jogging biomechanics using the full-body lumbar spine model: model development and validation. J. Biomech. 49, 1238–1243 (2016)
Rajaee, M.A., Arjmand, N., Shirazi-Adl, A., Plamondon, A., Schmidt, H.: Comparative evaluation of six quantitative lifting tools to estimate spine loads during static activities. Appl. Ergon. 48, 22–32 (2015)
Bruno, A.G., Bouxsein, M.L., Anderson, D.E.: Development and validation of a musculoskeletal model of the fully articulated thoracolumbar spine and rib cage. J. Biomech. Eng. 137, 081003 (2015)
Arjmand, N., Plamondon, A., Shirazi-Adl, A., Larivière, C., Parnianpour, M.: Predictive equations to estimate spinal loads in symmetric lifting tasks. J. Biomech. 44, 84–91 (2011)
Sherman, M.A., Seth, A., Delp, S.L.: Simbody: multibody dynamics for biomedical research. Proc. IUTAM 2, 241–261 (2011)
Schwab, A.L., Meijaard, J.P.: How to draw Euler angles and utilize Euler parameters. In: International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Philadelphia, Pennsylvania, USA, vol. 42568, pp. 259–265 (2006)
Shabana, A.: Dynamics of Multibody Systems. Cambridge University Press, New York (2005)
Thelen, D.G., Anderson, F.C.: Using computed muscle control to generate forward dynamic simulations of human walking from experimental data. J. Biomech. 39, 1107–1115 (2006)
McGraw, K.O., Wong, S.P.: Forming inferences about some intraclass correlation coefficients. Psychol. Methods 1, 30–46 (1996)
Faber, H., Van Soest, A.J., Kistemaker, D.A.: Inverse dynamics of mechanical multibody systems: an improved algorithm that ensures consistency between kinematics and external forces. PLoS ONE 13, e0204575 (2018)
Acknowledgements
The authors would like to acknowledge Alexandre Mir-Orefice for helping with the data collection.
Funding
This study was funded by the Natural Sciences and Engineering Research Council of Canada (RGPIN-2020-04748 [Ryan Graham], PGSD3-518358-2018 [Mohammadhossein Akhavanfar]), the Ontario Early Researcher Award Program (ER17-13-007 [Ryan Graham]), and the University of Ottawa Research Chairs Program (Ryan Graham).
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Akhavanfar, M., Uchida, T.K., Clouthier, A.L. et al. Sharing the load: modeling loads in OpenSim to simulate two-handed lifting. Multibody Syst Dyn 54, 213–234 (2022). https://doi.org/10.1007/s11044-021-09808-7
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DOI: https://doi.org/10.1007/s11044-021-09808-7