3d modeling of cervical musculature

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    1Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    3D Modeling of Cervical Musculature

    and its Effect on Neck Injury Prevention

    DIVISION OF

    NEURONIC ENGINEERING

    Defence of Doctoral Thesis

    Sofia Hedenstierna

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    2Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    With combined knowledge

    of medicine and engineeringimprove the prevention of

    head and neck injuries

    ?

    Division of Neuronic Engineering

    Neurotrauma + Mechanics

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    3Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Neck Injury Prevention

    Experimental Research and Development

    Davidsson et al. (1998)

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    4Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Neck Injury Prevention

    Existing numerical models of the cervical musculature

    Eindhoven (MADYMO)

    (Van der Horst 2002)

    France (RADIOSS)

    (Frechede et al. 2006)

    KTH (LS-DYNA)

    (Brolin et al. 2005)

    Duke (LS-DYNA)

    (Chancey et al. 2003)

    JAMA (LS-DYNA)

    (Ejima et al. 2005)

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    The KTH FE Neck Model

    Intervertebral Disksand Ligaments

    VertebraeMuscles

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Numerical Modeling

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    6Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Solid model:

    Improved Boundary Condition for InjuryPrediction in Cervical Column

    3D geometry

    Inertia forces

    Compressive stiffness

    Output from Muscle Tissue for Muscle

    Injury Analysis Strain

    Cross sectional forces

    Strain energy

    Passive force

    Active force

    Discrete model:

    Numerical Modeling

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    better understand the contribution from musculature on the stabilityof the head neck complex,

    improve the injury prediction of the cervical spine e.g.vertebra andligament,

    enable analysis of strain in the muscle elements to predict injury in themuscle tissue.

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Objectives

    Main objective:To develop a 3D finite element model of the cervicalmusculature using solid elements, in order to:

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    Introduction

    Method

    Geometry

    Material ModelingEvaluation

    Results From Papers

    Conclusions

    Future Work

    3D Modeling of Cervical Musculature and

    its Effect on Neck Injury Prevention

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

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    9Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Geometry of the Cervical Musculature

    The FE Muscle Model Geometry created from MRI

    1. Segmented from MRI

    (50th percentile)

    2. Interpolated into 3D

    surfaces

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    10Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    1. Segmented from MRI

    (50th percentile)

    2. Interpolated into 3D

    surfaces

    3. Positioned relative the

    KTH neck model in line

    with the literature

    Geometry of the Cervical Musculature

    The FE Muscle Model Geometry created from MRI

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    25 individual muscle pairs

    Rigid body insertions to thevertebrae

    One muscle can have multiple

    origins/insertions

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Geometry of the Cervical Musculature

    The FE Muscle Model Geometry created from MRI

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    12Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Geometry of the Cervical Musculature

    Anterior: Hyoid, SCM Lateral: SCM, TZ

    Posterior: TZ, SplCap Posterior: Suboccipital

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    13

    Introduction

    Method

    Geometry

    Material ModelingEvaluation

    Results From Papers

    Conclusions

    Future Work

    3D Modeling of Cervical Musculature and

    its Effect on Neck Injury Prevention

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

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    TheActive forceis generated voluntarily orby reflex. It has a maximum at optimalmuscle length Lopt and decreases rapidlyas the muscle is shortened or extended.

    Force

    Length

    Passive

    Active

    Total

    Isometriccontraction

    Lopt

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    The Passive forcedepends on the stiffness

    on the muscle tissue and increasenonlinearly with the length.

    Mechanical properties of muscle tissue

    The Total forceis the sum of passive andactive forces.

    Materialresponse: passive stiffness and active contraction

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    15Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Mechanical properties of muscle tissue

    v=1/s10/s25/s

    [Myers et al 1995]

    [Davis et al 2003]

    Materialformulations: Passive

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    Materialformulations: Passive

    Nonlinear elastic

    3

    1 1

    2)1(

    2

    11

    i

    n

    j

    i

    j

    jJKW j

    Ogden Rubber Energy Potential

    Parameters obtained from and validated for study on the rabbitTibialis Anterior muscle [Davis et al 2003]

    [Ogden 1972]

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Mechanical properties of muscle tissue

    Unidirectional stress

    i

    i

    ii

    12

    1

    1

    e

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    Materialformulations: Passive

    Nonlinear elastic

    Viscoelastic

    3

    1 1

    2)1(

    2

    11

    i

    n

    j

    i

    j

    jJKW j

    Ogden Rubber Energy Potential

    i

    i

    ii

    12

    1

    1

    [Ogden 1972]

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Mechanical properties of muscle tissue

    Unidirectional stress

    n

    i

    t

    i

    ieGtG

    1

    )(

    Viscoelasticity

    t

    klijkl

    V

    ij tG0

    )(

    eV

    Prony Series

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    18Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Mechanical properties of muscle tissue

    Materialformulations: Passive

    v=1/s10/s25/s

    Ogden

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    The Hill-type element

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Materialformulations: Active

    Mechanical properties of muscle tissue

    CECE Active force

    Damper

    Passive force

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    0.0

    1.0

    0 1 2Lrel

    normF

    fTL(Lr)Act(t)

    FmaxPCSAPeak muscle stress of 50

    N/cm2

    [Winters and Stark 1988]

    The Hill-type element

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Materialformulations: Active

    Mechanical properties of muscle tissue

    CE

    FCE= FmaxPCSAAct(t)fTL(Lr)

    CE Active force

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    CE

    The Hill-typeelement

    Discrete Muscle Model Continuum Muscle Model

    Hill-typecontractileelement

    +

    CEActive force

    Damper

    Passive force

    Active force

    Damper

    Passive force

    CE

    Nonlinear elastic

    Viscoelastic

    Continuum elements

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Super-positioned Muscle Finite Element (SMFE)

    Mechanical properties of muscle tissue

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    22Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Passive Muscle

    Active Muscle

    50N

    50N

    Mechanical properties of muscle tissue

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    Introduction

    Method

    Geometry

    Material ModelingEvaluation

    Results From Papers

    Conclusions

    Future Work

    3D Modeling of Cervical Musculature and

    its Effect on Neck Injury Prevention

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

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    24Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Evaluation of Muscle Models

    Discrete Muscle Model

    DMM Continuum Muscle ModelCMM

    SMFE Muscle ModelSMFEMM

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    Rear end ~4G[Ono et al 1999 and Davidsson et al 1999]

    Evaluation of Muscle Models

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

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    Frontal~15G[Ewing et al 1977]

    Lateral ~7G[Ewing et al 1977]

    Evaluation of Muscle Models

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

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    Introduction

    Method

    Geometry

    Material ModelingEvaluation

    Results From Papers

    Conclusions

    Future Work

    3D Modeling of Cervical Musculature and

    its Effect on Neck Injury Prevention

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

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    28Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Paper Aim Method Result

    I Analyze importance ofmuscle activation

    FE spring neck musclemodel (DMM)

    II Measure muscle activationschemes on volunteers

    Experimental EMG

    III Define material descriptionof passive and active

    muscle tissue

    FE solid rabbit musclemodel (SMFE)

    IV Create a 3D musclegeometry with continuumelements

    FE solid neck musclemodel (CMM)

    V Evaluate the muscle loadresponse in the solid neckmuscle model

    FE solid neck musclemodel(CMM passive)

    VI Create an active neckmuscle model withcontinuum elements

    FE solid neck musclemodel (SMFEMM)

    Papers

    Measure muscle activ.schemes on volunteers

    Analyze importance ofmuscle activation

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    Paper I: The importance of muscle tension on theoutcome of impacts with a major vertical component.

    Aim: To analyze how activated cervical musculature protectsthe neck during injurious impacts.

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Brolin K., Hedenstierna S., Halldin P., Bass C.R., Alem N. InternationalJournal of Crashworthiness, 13(5): 487-498, 2008.

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    Paper I: The importance of muscle tension on theoutcome of impacts with a major vertical component.

    Aim: To analyze how activated cervical musculature protectsthe neck during injurious impacts.

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Brolin K., Hedenstierna S., Halldin P., Bass C.R., Alem N. InternationalJournal of Crashworthiness, 13(5): 487-498, 2008.

    Conclusion: Muscle activation stabilizes the spinal columnduring impacts with a major vertical component,

    and reduces the risk of ligament injury at high impactseverities.

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    Paper II: Electromyography of Superficial and DeepNeck Muscles During Isometric, Voluntary, and

    Reflex Contractions.

    Aim:To improve knowledge about muscle activation schemesduring voluntary and subjected motions, covering deepand superficial cervical muscles for multiple directions ofmotion.

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Siegmund G.P, Blouin J-S, Brault J, Hedenstierna S, Inglis J Journal of Biomechanical Engineering, 129(1), 66-77, 2007.

    Muscles with EMG electrodes Dynamic sled tests/Static force generation

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    32Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Activationtime

    Duration

    Paper II: EMG in multiple directions

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    Paper II: Electromyography of Superficial and DeepNeck Muscles During Isometric, Voluntary, and

    Reflex Contractions.

    Aim:To improve knowledge about muscle activation schemesduring voluntary and subjected motions, covering deepand superficial cervical muscles for multiple directions ofmotion.

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Siegmund G.P, Blouin J-S, Brault J, Hedenstierna S, Inglis J Journal of Biomechanical Engineering, 129(1), 66-77, 2007.

    Conclusion: Muscle activation is directional dependent. Allmuscles except Splenius Capitis, acted consistentlywith their anatomical location.

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    34Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Paper Aim Method Result

    I Analyze importance ofmuscle activation

    FE spring neck musclemodel (DMM)

    II Measure muscle activationschemes on volunteers

    Experimental EMG

    III Define materialdescription of passive

    and active muscle tissue

    FE solid rabbit musclemodel (SMFE)

    IV Create a 3D musclegeometry with continuumelements

    FE solid neck musclemodel (CMM)

    V Evaluate the muscle loadresponse in the solid neckmuscle model

    FE solid neck musclemodel(CMM passive)

    VI Create an active neckmuscle model withcontinuum elements

    FE solid neck musclemodel (SMFEMM)

    Papers

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    Paper III:Evaluation of a combination of continuumand truss finite elements in a model of passive and

    active muscle tissue.

    Aim: To suggest and evaluate a method to model activemuscle tissue with continuum material properties andactive force generation.

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Hedenstierna S, Halldin P, Brolin K. Computer Methods in Biomechanics and Biomedical Engineering, 11(6), 627-39, 2008.

    Super-positioned Muscle Finite Element

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    36Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Eccentric contraction

    Concentric contraction

    Paper III: SMFE

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    Paper III:Evaluation of a combination of continuumand truss finite elements in a model of passive and

    active muscle tissue.

    Aim: To suggest and evaluate a method to model activemuscle tissue with continuum material properties andactive force generation.

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Hedenstierna S, Halldin P, Brolin K. Computer Methods in Biomechanics and Biomedical Engineering, 11(6), 627-39, 2008.

    Conclusion: It is possible to model active muscle tissuewith continuum material properties by combiningpassive solid elements and active discrete elements.

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    38Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Paper Aim Method Result

    I Analyze importance ofmuscle activation

    FE spring neck musclemodel (DMM)

    II Collect information onmuscle activation

    Experimental EMG

    III Define material descriptionof passive and active

    muscle tissue

    FE solid rabbit musclemodel (SMFE)

    IV Create a 3D musclegeometry withcontinuum elements

    FE solid neck musclemodel (CMM)

    V Evaluate the muscle loadresponse in the solid neckmuscle model

    FE solid neck musclemodel(CMM passive)

    VI Create an active neckmuscle model withcontinuum elements

    FE solid neck musclemodel (SMFEMM)

    Papers

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    Paper IV: How does a Three-Dimensional Continuum MuscleModel Affect the Kinematics and Muscle Strains of a FiniteElement Neck Model Compared to a Discrete Muscle Model in

    Rear-End, Frontal, and Lateral Impacts.

    Aim: To create and validate a solid model of the neckmuscles including nonlinear and viscoelastic materialproperties.

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Hedenstierna S, Halldin P. Spine, 33(8), E236-45, 2008.

    CMMDMM

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    Kinematics: Rear-end Impact

    Paper IV: Evaluation of Solid muscle model

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

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    Kinematics: Lateral Impact

    Paper IV: Evaluation of Solid muscle model

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

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    Kinematics: Frontal Impact

    Paper IV: Evaluation of Solid muscle model

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

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    Paper IV: How does a Three-Dimensional Continuum MuscleModel Affect the Kinematics and Muscle Strains of a FiniteElement Neck Model Compared to a Discrete Muscle Model in

    Rear-End, Frontal, and Lateral Impacts.

    Aim: To create and validate a solid model of the neckmuscles including nonlinear and viscoelastic materialproperties.

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Hedenstierna S, Halldin P. Spine, 33(8), E236-45, 2008.

    Conclusion: The continuum element muscle modelstabilizes the vertebral column compared to thespring muscle model, and improves the biofidelityof the neck model.

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    44Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Paper Aim Method Result

    I Analyze importance ofmuscle activation

    FE spring neck musclemodel (DMM)

    II Collect information onmuscle activation

    Experimental EMG

    III Define material descriptionof passive and active

    muscle tissue

    FE solid rabbit musclemodel (SMFE)

    IV Create a 3D musclegeometry with continuumelements

    FE solid neck musclemodel (CMM)

    V Evaluate the muscleload response in thesolid neck muscle model

    FE solid neck musclemodel(CMM passive)

    VI Create an active neckmuscle model withcontinuum elements

    FE solid neck musclemodel (SMFEMM)

    Papers

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    Paper V: Neck Muscle Load Distribution in Lateral,Frontal and Rear-end Impact; a 3D Finite Element

    Analysis.

    Aim: To study how the load distribution in the cervicalmuscles varies as a function of impact severity andimpact direction, using the model developed anddescribed in Paper IV.

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Hedenstierna S, Halldin P, Siegmund G.P. Submitted for publication, 1-16

    Green Effective StrainInternal EnergyCross Sectional Force

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    46Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Paper V: Cross Sectional Forces vs. EMG activity

    FRONTAL

    LATERAL

    REAR-END

    Kumar

    Schldt

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    Cross Sectional ForceREAR-END IMPACT

    t=0.13

    t=0.072

    Paper V: Muscle Load during impact

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

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    Green Effective Strain

    REAR-END IMPACT

    Paper V: Muscle Load during impact

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

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    Paper V: Neck Muscle Load Distribution in Lateral,Frontal and Rear-end Impact; a 3D Finite ElementAnalysis.

    Aim: To study how the load distribution in the cervicalmuscles varies as a function of impact severity andimpact direction, using the model developed anddescribed in Paper IV.

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Hedenstierna S, Halldin P, Siegmund G.P. Submitted for publication, 1-16

    Conclusion: The muscle load predicted by the model issensitive to load direction and severity.

    The resulting local strains and global energies/forcespredicts different load distributions.

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    50Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Paper Aim Method Result

    I Analyze importance ofmuscle activation

    FE spring neck musclemodel (DMM)

    II Collect information onmuscle activation

    Experimental EMG

    III Define material descriptionof passive and active

    muscle tissue

    FE solid rabbit musclemodel (SMFE)

    IV Create a 3D musclegeometry with continuumelements

    FE solid neck musclemodel (CMM)

    V Evaluate the muscle loadresponse in the solid neckmuscle model

    FE solid neck musclemodel(CMM passive)

    VI Create an active neckmuscle model withcontinuum elements

    FE solid neck musclemodel (SMFEMM)

    Papers

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    Paper VI: Development of an active solid neckmuscle FE model and its influence on neck injuryprediction.

    Aim: To study the effect of incorporated active muscle forcesin the solid element model of the cervical musculature onneck kinematics, using the materials described in PaperIIIin the solid musculature model described in Papers IV

    and V.

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Hedenstierna S.Manuscript, 1-15

    SMFEMMCMM

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    Paper VI: Active Continuum Muscle Model with SMFE

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    CMM SMFEMM

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    Paper VI: Active Continuum Muscle Model with SMFE

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    CMM SMFEMM

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    Global Vertebral Rotations: Rear-end

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Paper VI: Active Continuum Muscle Model with SMFE

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    Paper VI: Development of an active solid neckmuscle FE model and its influence on neck injuryprediction.

    Aim: To study the effect of incorporated active muscle forcesin the solid element model of the cervical musculature onneck kinematics, using the materials described in PaperIIIin the solid musculature model described in Papers IV

    and V.

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Hedenstierna S.Manuscript, 1-15

    Conclusion: The SMFEMM gives a more realisticresponse than the CMM and DMM, and thekinematics are closer to volunteer data.

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    Introduction

    Method

    Geometry

    Material ModelingEvaluation

    Results From Papers

    Conclusions

    Future Work

    3D Modeling of Cervical Musculature and

    its Effect on Neck Injury Prevention

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

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    Conclusions

    The solid elements stabilizes and restricts themotion of the vertebral column compared to thespring muscle model

    The load distribution between muscles reflects the

    different impact directions and severities applied The solid muscle model visualizes muscle

    dynamics and strains in an easy perceptual way

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

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    Introduction

    Method

    Geometry

    Material ModelingEvaluation

    Results From Papers

    Conclusions

    Future Work

    3D Modeling of Cervical Musculature and

    its Effect on Neck Injury Prevention

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

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    Future Work

    Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Boundaryconditions

    The stability of theSMFE

    Myotendinous-junctions/insertion

    Muscle activation

    A female version

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    60Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    THANK

    YOU!

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    61Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    I. The importance of muscle tension on the outcome of impacts with a major verticalcomponent. Brolin K., Hedenstierna S., Halldin P., Bass C.R., Alem N. International Journal of Crashworthiness,13(5): 487-498, 2008.

    II. Electromyography of Superficial and Deep Neck Muscles During Isometric, Voluntary,and Reflex Contractions. Siegmund G.P., Blouin J.S., Brault J.R., Hedenstierna S., Inglis J.T. Journal ofBiomechanical Engineering, 129(1), 66-77, 2007.

    III. Evaluation of a combination of continuum and truss finite elements in a model ofpassive and active muscle tissue. Hedenstierna S., Halldin P., Brolin K. Computer Methods in Biomechanics

    and Biomedical Engineering, 11(6), 627-39, 2008.

    IV. How does a Three-Dimensional Continuum Muscle Model Affect the Kinematics andMuscle Strains of a Finite Element Neck Model Compared to a Discrete Muscle Model inRear-End, Frontal, and Lateral Impacts. Hedenstierna S., Halldin P. Spine, 33(8), E236-45, 2008.

    V. Neck Muscle Load Distribution in Lateral, Frontal and Rear-end Impact; a 3D FiniteElement Analysis. Hedenstierna S., Halldin P., Siegmund G.P. Submitted for publication, 1-16

    VI. Development of an active solid neck muscle FE model and its influence on neck injuryprediction. Hedenstierna S.Manuscript, 1-15

    Papers

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    62Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Flexion 15g: Passive CMM and active SMFE

    Passive

    Active

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    63Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Extension 4g: Passive CMM and active SMFE

    Passive

    Active

    Passive DMM

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    64Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Lateral 7g: Passive CMM and active CMM

    Passive

    Active

    Passive DMM

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    65

    v(t)

    Frontal impact

    Muscle Activation

    Degree of activation over time

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    66Sofia HedenstiernaDivision of Neuronic Engineering, School of Technology and Health

    Activationtime

    Duration

    Paper II: EMG in multiple directions

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    Peak headrot (deg)

    DMM pas 80

    CMM pas 67

    CMM act 49

    SMFEMM 46

    Peak Head rotation relative T1