Intervertebral translations and rotations are likely dependent on intervertebral stiffness properties. The objective of this study was to incorporate realistic intervertebral stiffnesses in a musculoskeletal model of the lumbar spine using a novel force-dependent kinematics approach, and examine the effects on vertebral compressive loading and intervertebral motions. Predicted vertebral loading and intervertebral motions were compared to previously reported in vivo measurements. Intervertebral joint reaction forces and motions were strongly affected by flexion stiffness, as well as force–motion coupling of the intervertebral stiffness. Better understanding of intervertebral stiffness and force–motion coupling could improve musculoskeletal modeling, implant design, and surgical planning.
References
References
1.
Delp
, S. L.
, Anderson
, F. C.
, Arnold
, A. S.
, Loan
, P.
, Habib
, A.
, John
, C. T.
, Guendelman
, E.
, and Thelen
, D. G.
, 2007
, “OpenSim: Open-Source Software to Create and Analyze Dynamic Simulations of Movement
,” IEEE Trans. Biomed. Eng.
, 54
(11
), pp. 1940
–1950
.2.
Hoy
, D.
, Bain
, C.
, Williams
, G.
, March
, L.
, Brooks
, P.
, Blyth
, F.
, Woolf
, A.
, Vos
, T.
, and Buchbinder
, R.
, 2012
, “A Systematic Review of the Global Prevalence of Low Back Pain
,” Arthritis Rheum.
, 64
(6
), pp. 2028
–2037
.3.
Martin
, B. I.
, Deyo
, R. A.
, Mirza
, S. K.
, Turner
, J. A.
, Comstock
, B. A.
, Hollingworth
, W.
, and Sullivan
, S. D.
, 2008
, “Expenditures and Health Status Among Adults With Back and Neck Problems
,” JAMA
, 299
(6
), pp. 656
–664
.4.
Huynh
, K. T.
, Gibson
, I.
, Jagdish
, B. N.
, and Lu
, W. F.
, 2015
, “Development and Validation of a Discretised Multi-Body Spine Model in LifeMOD for Biodynamic Behaviour Simulation
,” Comput. Methods Biomech. Biomed. Eng.
, 18
(2
), pp. 175
–184
.5.
Stokes
, I. A.
, and Gardner-Morse
, M.
, 1995
, “Lumbar Spine Maximum Efforts and Muscle Recruitment Patterns Predicted by a Model With Multijoint Muscles and Joints With Stiffness
,” J. Biomech.
, 28
(2
), pp. 173
–186
.6.
Christophy
, M.
, Faruk Senan
, N. A.
, Lotz
, J. C.
, and O'Reilly
, O. M.
, 2012
, “A Musculoskeletal Model for the Lumbar Spine
,” Biomech. Model. Mechanobiol.
, 11
(1–2
), pp. 19
–34
.7.
de Zee
, M.
, Hansen
, L.
, Wong
, C.
, Rasmussen
, J.
, and Simonsen
, E. B.
, 2007
, “A Generic Detailed Rigid-Body Lumbar Spine Model
,” J. Biomech.
, 40
(6
), pp. 1219
–1227
.8.
Fujii
, R.
, Sakaura
, H.
, Mukai
, Y.
, Hosono
, N.
, Ishii
, T.
, Iwasaki
, M.
, Yoshikawa
, H.
, and Sugamoto
, K.
, 2007
, “Kinematics of the Lumbar Spine in Trunk Rotation: In Vivo Three-Dimensional Analysis Using Magnetic Resonance Imaging
,” Eur. Spine J.
, 16
(11
), pp. 1867
–1874
.9.
Neuschwander
, T. B.
, Cutrone
, J.
, Macias
, B. R.
, Cutrone
, S.
, Murthy
, G.
, Chambers
, H.
, and Hargens
, A. R.
, 2010
, “The Effect of Backpacks on the Lumbar Spine in Children: A Standing Magnetic Resonance Imaging Study
,” Spine
, 35
(1
), pp. 83
–88
.10.
Li
, G.
, Wang
, S.
, Passias
, P.
, Xia
, Q.
, and Wood
, K.
, 2009
, “Segmental In Vivo Vertebral Motion During Functional Human Lumbar Spine Activities
,” Eur. Spine J.
, 18
(7
), pp. 1013
–1021
.11.
Wang
, S.
, Xia
, Q.
, Passias
, P.
, Wood
, K.
, and Li
, G.
, 2009
, “Measurement of Geometric Deformation of Lumbar Intervertebral Discs Under In-Vivo Weightbearing Condition
,” J. Biomech.
, 42
(6
), pp. 705
–711
.12.
Wu
, M.
, Wang
, S.
, Driscoll
, S. J.
, Cha
, T. D.
, Wood
, K. B.
, and Li
, G.
, 2014
, “Dynamic Motion Characteristics of the Lower Lumbar Spine: Implication to Lumbar Pathology and Surgical Treatment
,” Eur. Spine J.
, 23
(11
), pp. 2350
–2358
.13.
Adams
, M. A.
, and Dolan
, P.
, 1991
, “A Technique for Quantifying the Bending Moment Acting on the Lumbar Spine In Vivo
,” J. Biomech.
, 24
(2
), pp. 117
–126
.14.
Han
, K. S.
, Zander
, T.
, Taylor
, W. R.
, and Rohlmann
, A.
, 2012
, “An Enhanced and Validated Generic Thoraco-Lumbar Spine Model for Prediction of Muscle Forces
,” Med. Eng. Phys.
, 34
(6
), pp. 709
–716
.15.
Andersen
, M. S.
, and Rasmussen
, J.
, 2011
, “Total Knee Replacement Musculoskeletal Model Using a Novel Simulation Method for Non-Conforming Joints
,” International Society of Biomechanics Conference
(ISB 2011), Brussels
, Belgium, July 3–7, Paper No. 343.16.
Marra
, M. A.
, Vanheule
, V.
, Fluit
, R.
, Koopman
, B. H.
, Rasmussen
, J.
, Verdonschot
, N.
, and Andersen
, M. S.
, 2015
, “A Subject-Specific Musculoskeletal Modeling Framework to Predict In Vivo Mechanics of Total Knee Arthroplasty
,” ASME J. Biomech. Eng.
, 137
(2
), p. 020904
.17.
de Leva
, P.
, 1996
, “Adjustments to Zatsiorsky-Seluyanov's Segment Inertia Parameters
,” J. Biomech.
, 29
(9
), pp. 1223
–1230
.18.
McConville
, J. T.
, Churchill
, T. D.
, Kaleps
, I.
, Clauser
, C. E.
, and Cuzzi
, J.
, 1980
, “Anthropometric Relationships of Body and Body Segment Moments of Inertia
,” Aerospace Medical Research Laboratory, Wright-Patterson Air Force Base, OH, Report No. AFAMRL-TR-80-119.19.
Millard
, M.
, Uchida
, T.
, Seth
, A.
, and Delp
, S. L.
, 2013
, “Flexing Computational Muscle: Modeling and Simulation of Musculotendon Dynamics
,” ASME J. Biomech. Eng.
, 135
(2
), p. 021005
.20.
Arjmand
, N.
, and Shirazi-Adl
, A.
, 2006
, “Role of Intra-Abdominal Pressure in the Unloading and Stabilization of the Human Spine During Static Lifting Tasks
,” Eur. Spine J.
, 15
(8
), pp. 1265
–1275
.21.
Schultz
, A.
, Andersson
, G.
, Ortengren
, R.
, Haderspeck
, K.
, and Nachemson
, A.
, 1982
, “Loads on the Lumbar Spine. Validation of a Biomechanical Analysis by Measurements of Intradiscal Pressures and Myoelectric Signals
,” J. Bone Jt. Surg.
, 64
(5
), pp. 713
–720
.22.
Marras
, W. S.
, and Mirka
, G. A.
, 1996
, “Intra-Abdominal Pressure During Trunk Extension Motions
,” Clin. Biomech.
, 11
(5
), pp. 267
–274
.23.
Gardner-Morse
, M. G.
, and Stokes
, I. A.
, 2004
, “Structural Behavior of Human Lumbar Spinal Motion Segments
,” J. Biomech.
, 37
(2
), pp. 205
–212
.24.
Panjabi
, M. M.
, Brand
, R. A.
, Jr., and White
, A. A.
, III, 1976
, “Three-Dimensional Flexibility and Stiffness Properties of the Human Thoracic Spine
,” J. Biomech.
, 9
(4
), pp. 185
–192
.25.
Heuer
, F.
, Schmidt
, H.
, Klezl
, Z.
, Claes
, L.
, and Wilke
, H. J.
, 2007
, “Stepwise Reduction of Functional Spinal Structures Increase Range of Motion and Change Lordosis Angle
,” J. Biomech.
, 40
(2
), pp. 271
–280
.26.
Panjabi
, M. M.
, Oxland
, T. R.
, Yamamoto
, I.
, and Crisco
, J. J.
, 1994
, “Mechanical Behavior of the Human Lumbar and Lumbosacral Spine as Shown by Three-Dimensional Load-Displacement Curves
,” J. Bone Jt. Surg.
, 76
(3
), pp. 413
–424
.27.
Tencer
, A. F.
, Ahmed
, A. M.
, and Burke
, D. L.
, 1982
, “Some Static Mechanical Properties of the Lumbar Intervertebral Joint, Intact and Injured
,” ASME J. Biomech. Eng.
, 104
(3
), pp. 193
–201
.28.
Yamamoto
, I.
, Panjabi
, M. M.
, Crisco
, T.
, and Oxland
, T.
, 1989
, “Three-Dimensional Movements of the Whole Lumbar Spine and Lumbosacral Joint
,” Spine
, 14
(11
), pp. 1256
–1260
.29.
Lin
, H. S.
, Liu
, Y. K.
, and Adams
, K. H.
, 1978
, “Mechanical Response of the Lumbar Intervertebral Joint Under Physiological (Complex) Loading
,” J. Bone Jt. Surg., Am.
, 60
(1
), pp. 41
–55
.30.
Markolf
, K. L.
, 1972
, “Deformation of the Thoracolumbar Intervertebral Joints in Response to External Loads: A Biomechanical Study Using Autopsy Material
,” J. Bone Jt. Surg.
, 54
(3
), pp. 511
–533
.31.
El Ouaaid
, Z.
, Shirazi-Adl
, A.
, Plamondon
, A.
, and Lariviere
, C.
, 2013
, “Trunk Strength, Muscle Activity and Spinal Loads in Maximum Isometric Flexion and Extension Exertions: A Combined In Vivo-Computational Study
,” J. Biomech.
, 46
(13
), pp. 2228
–2235
.32.
Tafazzol
, A.
, Arjmand
, N.
, Shirazi-Adl
, A.
, and Parnianpour
, M.
, 2014
, “Lumbopelvic Rhythm During Forward and Backward Sagittal Trunk Rotations: Combined In Vivo Measurement With Inertial Tracking Device and Biomechanical Modeling
,” Clin. Biomech.
, 29
(1
), pp. 7
–13
.33.
Wong
, K. W.
, Luk
, K. D.
, Leong
, J. C.
, Wong
, S. F.
, and Wong
, K. K.
, 2006
, “Continuous Dynamic Spinal Motion Analysis
,” Spine
, 31
(4
), pp. 414
–419
.34.
Wilke
, H.
, Neef
, P.
, Hinz
, B.
, Seidel
, H.
, and Claes
, L.
, 2001
, “Intradiscal Pressure Together With Anthropometric Data—A Data Set for the Validation of Models
,” Clin. Biomech.
, 16
(Suppl. 1
), pp. S111
–S126
.35.
Busscher
, I.
, van Dieen
, J. H.
, van der Veen
, A. J.
, Kingma
, I.
, Meijer
, G. J.
, Verkerke
, G. J.
, and Veldhuizen
, A. G.
, 2011
, “The Effects of Creep and Recovery on the In Vitro Biomechanical Characteristics of Human Multi-Level Thoracolumbar Spinal Segments
,” Clin. Biomech.
, 26
(5
), pp. 438
–444
.36.
Zhao
, F.
, Pollintine
, P.
, Hole
, B. D.
, Dolan
, P.
, and Adams
, M. A.
, 2005
, “Discogenic Origins of Spinal Instability
,” Spine
, 30
(23
), pp. 2621
–2630
.37.
Gardner-Morse
, M. G.
, and Stokes
, I. A.
, 1998
, “The Effects of Abdominal Muscle Coactivation on Lumbar Spine Stability
,” Spine
, 23
(1
), pp. 86
–91
; discussion 91–92.38.
Stokes
, I. A.
, and Gardner-Morse
, M.
, 2001
, “Lumbar Spinal Muscle Activation Synergies Predicted by Multi-Criteria Cost Function
,” J. Biomech.
, 34
(6
), pp. 733
–740
.39.
Stokes
, I. A.
, and Gardner-Morse
, M.
, 2003
, “Spinal Stiffness Increases With Axial Load: Another Stabilizing Consequence of Muscle Action
,” J. Electromyogr. Kinesiol.
, 13
(4
), pp. 397
–402
.40.
Christophy
, M.
, Curtin
, M.
, Senan
, N. A. F.
, Lotz
, J. C.
, and O'Reilly
, O. M.
, 2013
, “On the Modeling of the Intervertebral Joint in Multibody Models for the Spine
,” Multibody Syst. Dyn.
, 30
(4
), pp. 413
–432
.41.
Weisse
, B.
, Aiyangar
, A. K.
, Affolter
, C.
, Gander
, R.
, Terrasi
, G. P.
, and Ploeg
, H.
, 2012
, “Determination of the Translational and Rotational Stiffnesses of an L4-L5 Functional Spinal Unit Using a Specimen-Specific Finite Element Model
,” J. Mech. Behav. Biomed. Mater.
, 13
, pp. 45
–61
.42.
Izzo
, R.
, Guarnieri
, G.
, Guglielmi
, G.
, and Muto
, M.
, 2013
, “Biomechanics of the Spine. Part II: Spinal Instability
,” Eur. J. Radiol.
, 82
(1
), pp. 127
–138
.43.
Harris
, B. M.
, Hilibrand
, A. S.
, Savas
, P. E.
, Pellegrino
, A.
, Vaccaro
, A. R.
, Siegler
, S.
, and Albert
, T. J.
, 2004
, “Transforaminal Lumbar Interbody Fusion: The Effect of Various Instrumentation Techniques on the Flexibility of the Lumbar Spine
,” Spine
, 29
(4
), pp. E65
–E70
.44.
Sim
, H. B.
, Murovic
, J. A.
, Cho
, B. Y.
, Lim
, T. J.
, and Park
, J.
, 2010
, “Biomechanical Comparison of Single-Level Posterior Versus Transforaminal Lumbar Interbody Fusions With Bilateral Pedicle Screw Fixation: Segmental Stability and the Effects on Adjacent Motion Segments
,” J. Neurosurg. Spine
, 12
(6
), pp. 700
–708
.45.
Demetropoulos
, C. K.
, Sengupta
, D. K.
, Knaub
, M. A.
, Wiater
, B. P.
, Abjornson
, C.
, Truumees
, E.
, and Herkowitz
, H. N.
, 2010
, “Biomechanical Evaluation of the Kinematics of the Cadaver Lumbar Spine Following Disc Replacement With the ProDisc-L Prosthesis
,” Spine
, 35
(1
), pp. 26
–31
.46.
Cripton
, P. A.
, Bruehlmann
, S. B.
, Orr
, T. E.
, Oxland
, T. R.
, and Nolte
, L. P.
, 2000
, “In Vitro Axial Preload Application During Spine Flexibility Testing: Towards Reduced Apparatus-Related Artefacts
,” J. Biomech.
, 33
(12
), pp. 1559
–1568
.47.
Gardner-Morse
, M. G.
, and Stokes
, I. A.
, 2003
, “Physiological axial Compressive Preloads Increase Motion Segment Stiffness, Linearity and Hysteresis in all Six Degrees of Freedom for Small Displacements About the Neutral Posture
,” J. Orthop. Res.
, 21
(3
), pp. 547
–552
.48.
Janevic
, J.
, Ashton-Miller
, J. A.
, and Schultz
, A. B.
, 1991
, “Large Compressive Preloads Decrease Lumbar Motion Segment Flexibility
,” J. Orthop. Res.
, 9
(2
), pp. 228
–236
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