A Musculoskeletal model for the lumbar spine
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A new musculoskeletal model for the lumbar spine is described in this paper. This model features a rigid pelvis and sacrum, the five lumbar vertebrae, and a rigid torso consisting of a lumped thoracic spine and ribcage. The motion of the individual lumbar vertebrae was defined as a fraction of the net lumbar movement about the three rotational degrees of freedom: flexion–extension lateral bending, and axial rotation. Additionally, the eight main muscle groups of the lumbar spine were incorporated using 238 muscle fascicles with prescriptions for the parameters in the Hill-type muscle models obtained with the help of an extensive literature survey. The features of the model include the abilities to predict joint reactions, muscle forces, and muscle activation patterns. To illustrate the capabilities of the model and validate its physiological similarity, the model’s predictions for the moment arms of the muscles are shown for a range of flexion–extension motions of the lower back. The model uses the OpenSim platform and is freely available on https://www.simtk.org/home/lumbarspine to other spinal researchers interested in analyzing the kinematics of the spine. The model can also be integrated with existing OpenSim models to build more comprehensive models of the human body.
KeywordsSpinal kinematics Musculoskeletal model Hill-type model Muscle architecture
The authors thank Professor Scott Delp and the OpenSim team for their generous technical support with this software, acknowledge the inspiration provided by the cervical spine model in Vasavada et al. (1998), and express their appreciation to the reviewers for their helpful comments and suggestions. The work of the authors was partially supported by the National Science Foundation of the United States under Grant No. CMMI 0726675.
This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
- Bogduk N (1980) A reappraisal of the anatomy of the human lumbar erector spinae. J Anat 131(3): 525–540Google Scholar
- Bogduk N (2005) Clinical anatomy of the lumbar spine and sacrum. 4. Churchill Livingstone, New YorkGoogle Scholar
- de Zee M, Hansen L, Andersen TB, Wong C, Rasmussen J, Simonsen EB (2003) On the development of a detailed rigid-body spine model. In: Proceedings of international congress on computational bioengineering, Spain,5ppGoogle Scholar
- Farfan H (1973) Mechanical disorders of the low back. Lea & Febiger, PhiladelphiaGoogle Scholar
- Gray H (1980) Gray’s anatomy. 36. Warwick and Williams, LondonGoogle Scholar
- Huynh K, Gibson I, Lu W, Jagdish B (2010) Simulating dynamics of thoracolumbar spine derived from LifeMOD under haptic forces. World Acad Sci Eng Technol 64: 278–285Google Scholar
- Lee W-E, Uhm H-W, Nam Y-S (2008) Estimation of tendon slack length of knee extension/flexion muscle. In: Proceedings of the international conference on control, automation and systems (ICCAS 2008). COEX, Seoul, pp 1–4Google Scholar
- Lieber RL, Loren GJ, Fridén J (1994) In vivo measurement of human wrist extensor muscle sarcomere length changes. J Neurophysiology 71: 874–881Google Scholar
- Lonnemann ME, Paris SV, Gorniak GC (2008) A morphological comparison of the human lumbar multifidus by chemical dissection. J Man Manipulative Ther 16(4): E84–E92Google Scholar
- Manal K, Buchanan T (2004) Subject-specific estimates of tendon slack length: a numerical method. J Appl Biomech 20: 195–203Google Scholar
- Weis-Fogh T, Alexander MN (1977) The sustained power output from striated muscle. In: Pedley TJ (ed) Scale effects in animal locomotion. Academic Pess, LondonGoogle Scholar
- White AA, Panjabi MM (1978b) Clinical biomechanics of the spine. Lippincott, PhiladelphiaGoogle Scholar
- Xiao M, Higginson J (2010) Sensitivity of estimated muscle force in forward simulation of normal walking. J Appl Biomech 2(26): 142–149Google Scholar
- Zajac FE (1989) Muscle and tendon: properties, models, scaling, and application to biomechanics and motor control. Crit Rev Biomed Eng 17(4): 359–411Google Scholar