Nucleus Arthroplasty Volume II

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    NucleusArthroplasty

    Volume II: Biomechanics &Development

    Technology

    in Spinal Care

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    Table of Contents

    This monograph series is a groundbreaking project in therapidly emerging field of non-fusion spinal surgery. Thefull range of nucleus replacement technologies is examined

    with discussion on biomechanical and physiological proper-ties of the disc, detailed information on each cutting-edge

    device technology, indications, and patient selection criteria.

    Nucleus Arthroplasty Technology in Spinal Careis

    published for the medical profession by Raymedica, LLC,

    Minneapolis, MN 55431.

    The views expressed in this series are those of the authors

    and do not necessarily represent those of Raymedica, LLC.

    ACKNOWLEDGEMENT

    We, Raymedica, LLC, and the authors of this volume, wish

    to acknowledge our debt of gratitude for the important

    contribution of Steven J. Seme, Developmental Editor. His

    guidance has added a great deal to the teaching value of

    this volume.

    Copyright 2006 and 2007 Raymedica, LLC. All rights

    reserved. Printed in the U.S.A.

    2 Introduction

    4 Deputy Editorial Board

    C H A P T E R 7 6 Biomechanics of the Degenerated Disc

    C H A P T E R 8 11 Principles and Mechanical Requirements of Nucleus Implants

    C H A P T E R 9 17 Kinematic Demands of Nucleus Arthroplasty Technology

    C H A P T E R 1 0 24 Device Stiffness vs. Load-Sharing with Nucleus Arthroplasty Devices

    C H A P T E R 1 1 34 Endplate Mechanics

    C H A P T E R 1 2 41 Repair of the Anulus Fibrosus of the Lumbar DiscC H A P T E R 1 3 49 Integration of Nucleus Arthroplasty Technology into the Continuum of Care

    IBC Conclusion

    www.nucleusarthroplasty.com

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    2

    The first documented works describing the diagnosis and

    treatment of the spine, spinal disorders, and spinal instabilitydate back to 1900-2500 B.C. Interestingly, the documents recom-

    mended against the treatment of spinal cord injury. The develop-

    ment of therapeutic treatments has a long history starting with

    the cane, the first load-sharing device. Today, our efforts to

    improve therapies to treat spine disease persist. We continue to

    recognize problems, identify issues, and define variables in an

    effort to better understand spinal degeneration and to develop

    innovative solutions that utilize a wide array of materials and

    technologies. Our field has had a rich history of advancements,

    accomplishments, and inventiveness. We owe a great debt to the

    pioneers who, armed with little more than a detailed knowledge

    of anatomy, heralded in the era of spinal surgery. Their trials,

    errors, innovations, and teachings have guided our efforts to

    ultimately improve clinical outcomes.

    Early on, it was recognized that the disc played a vital role in overall

    spine health. With great effort and ingenuity, the unique anatomical,

    biomechanical, and physiological properties of the disc were eluci-

    dated and incorporated into elegant treatment algorithms. We now

    have access to an almost overwhelming flow of information about

    lumbar disc arthroplasty from countless sources. Central to the evo-

    lution of therapies is a better appreciation of the complexities of thelumbar disc. By combining knowledge gleaned from anatomical

    dissection, biochemical processes, and resultant physiology with a

    disciplined foundation in biomechanics, we have created a fabric

    of understanding never before enjoyed. Spine arthroplasty is now

    an important and evolving area within the treatment of spinal

    Reginald J. Davis, MD, FACSCHIEF OF NEUROSURGERY

    Baltimore Neurosurgical Associates, PA

    Baltimore, MD 21204

    Federico P. Girardi, MDASSISTANT PROFESSOR

    OF ORTHOPEDIC SURGERY

    Hospital for Special Surgery

    New York, NY 10021

    Frank P. Cammisa, Jr., MD, FACSASSOCIATE PROFESSOR OF CLINICAL SURGERY

    Hospital for Special Surgery

    New York, NY 10021

    William C. Hutton, DScPROFESSOR AND DIRECTOR OF

    ORTHOPEDIC RESEARCH

    Emory University

    Atlanta, GA 30322

    Introduction

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    disorders. This sub-discipline represents the coalescence of manyareas of study focused on the development of new and exciting

    solutions to address clinical problems.

    These significant advances in our understanding of the spine rep-

    resent a culmination of efforts occurring across many fronts. Our

    increased understanding of the biological factors at work in disc

    disease has been a driving force in the development and emer-

    gence of new materials and delivery methods. The critical role

    that advanced biocompatible alloys, polymers, and viscoelastic

    hydrogels play in the innovation of disc arthroplasty technologies

    cannot be over emphasized.

    Technological advancements have played a vital role in supporting

    and expanding our knowledge of motion preserving disc technolo-

    gies. The latest imaging technologies allow a much more detailed

    appreciation of pathological processes, such as disc degeneration,

    and provide the ability to monitor the results of an intervention.

    Computerized finite element analysis offers a risk-free environment

    in which to test hypotheses and predict clinical impact. Biochemical

    advancements yield an intimate understanding of the chemical envi-

    ronment including chemical mediators and potential intervention

    portals. This wealth of knowledge can be used to great advantage

    when developing disc arthroplasty technologies.

    Not to be overlooked, the socioeconomic challenges involved in the

    development of new technologies, such as the Nucleus Arthroplasty

    motion preservation system, have also become more apparent.

    The all important variable of proper patient selection continues to

    require constant reassessment and vigilance. Increasingly, third-party

    payers control access to care and treatment choice to an alarming

    degree. Such considerations can no longer be ignored in the quest

    for ideal patient management methods.

    This publication has been constructed to provide an overview of

    the current biomechanical developments in Nucleus Arthroplastytechnology. Key elements include the Principles and Mechanical

    requirements of Nucleus Devices, Kinematic Demands, Endplate

    Mechanics, Device Stiffness vs. Load Sharing, and Anular Closure

    Techniques. In addition, Volume II of this series will provide

    insight into the potential market and the current players working

    in the forefront of Nucleus Arthroplasty technology developmentactivities. This is an incredibly exciting field as technologies

    focused on the repair and replacement of the diseased disc

    nucleus will catapult us far beyond the treatment options we

    have available today.

    In conclusion, we can say that the spine arthroplasty specialist

    of today is well prepared to deliver the most advanced solutions

    to the clinical puzzle of disc disease with technologies based on

    a rich tradition of innovation and compassion coupled with a

    tremendous wealth of physiological knowledge and assessment

    tools. As spine surgery evolves from mechanical solutions to

    therapeutic solutions both surgeons and patients will benefit.

    We hope you will find this series on Nucleus Arthroplasty

    technology to be a valuable asset.

    Reginald J. Davis, MD, FACS

    Federico P. Girardi, MD

    Frank P. Cammisa, Jr., MD, FACS

    William C. Hutton, DSc

    3

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    Reginald J. Davis, MD, FACS

    Dr. Davis is founder of Baltimore Neurosurgical Associates, chief

    of Neurosurgery at the Greater Baltimore Medical Center, and a

    faculty member at the Johns Hopkins School of Medicine and

    the University of Maryland. He is a Fellow of the American

    College of Surgeons and a Diplomate of the American Board of

    Surgery. Dr. Davis received his medical degree from Johns

    Hopkins University School of Medicine, Baltimore, Maryland.

    He has broad experience in advanced procedures such as spinal

    stabilization, intradiscal electrothermal therapy, and microendo-

    scopic discectomy and has conducted physician training pro-

    grams on these procedures. His professional affiliations include

    the AANS-CNS Section on Disorders of the Spine, the American

    Association of Neurological Surgeons, the Congress of

    Neurological Surgeons, and the North American Spine Society.

    Federico P. Girardi, MD

    Dr. Girardi is assistant professor of orthopedic surgery, Weill

    Medical College of Cornell University and is attending orthopedic

    surgeon at the Hospital for Special Surgery, New York, New York.

    He specializes in the treatment of spinal disorders including degen-

    erative disc disease (DDD), spinal deformities, metabolic fractures,

    and spinal tumors. Dr. Girardi received his medical degree from

    the Universidad Nacional de Rosario, Rosario, Argentina.

    He has performed extensive clinical research in the areas of mini-

    mally invasive surgery, clinical outcomes, and spinal imaging. He

    is also interested in basic research on bone, disc, and nerve tissue

    regeneration and in the investigation of alternatives to spinal

    fusion for the treatment of DDD. His professional affiliations

    include the North American Spine Society, Scoliosis Research

    Society, the European Spine Society, the International Society for

    the Study of the Lumbar Spine, and the Spine Arthroplasty Society

    Raymedica has selected Drs. Reginald J. Davis, MD, FACS, Federico P. Girardi, MD, Frank P. Cammisa, Jr., MD, FACS,and William C. Hutton, DSc to edit this series of monographs on Nucleus Arthroplasty technology, because of theispecial interest in this dynamic area of medicine. They are well respected for their clinical work and travel widely to speakand educate physicians. Drs. Davis, Girardi, and Cammisa are noted for their expertise in spine surgery and advanced

    training in minimally invasive surgical techniques.

    Deputy Editorial Board

    4

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    5

    Frank P. Cammisa, Jr., MD, FACS

    Dr. Cammisa is associate professor of clinical surgery, Weill

    Medical College of Cornell University and is the Chief of Spinal

    Surgical Service at The Hospital for Special Surgery in New York,

    New York, where he also serves as an associate scientist in the

    research division. Dr. Cammisa received his medical degree from

    the College of Physicians and Surgeons at Columbia University,

    New York, New York.

    His clinical interests include non-fusion and motion preservation

    technologies, minimally invasive, laparoscopic, and computer

    assisted spinal surgery; microsurgery and athletic spinal injuries.

    He is an active member of many spine societies, academic com-

    mittees and editorial review boards. He has lectured widely and

    published in numerous peer-reviewed journals and books.

    William C. Hutton, DSc

    Dr. Hutton is professor and director of orthopedic research,

    Emory University in Atlanta, Georgia. He also attended

    Universities in Glasgow, Birmingham, and London. Before coming

    to Atlanta, he worked at educational institutes in London and

    Adelaide, Australia. In Adelaide, he was professor of biomechanics

    and chairman of the Department of Mechanical Engineering.

    His major area of interest is biomechanics with a particular

    focus on the spine. Dr. Hutton has published over 180 papers

    in peer review journals. He has won many prizes for his work,

    most recently (2004) the Russell S. Hibbs Award from the

    Scoliosis Research Society. At present, he has a Research Career

    Science Award from the Department of Veterans Affairs. He is

    a member of the International Society for the Study of the

    Lumbar Spine.

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    6

    Chapter 7 Biomechanics ofthe Degenerated Disc

    Andrew A. Sama, MD

    ASSISTANT PROFESSOR OF ORTHOPEDIC SURGERYWeill Medical College of Cornell University

    Hospital for Special Surgery

    New York, NY 10021

    Federico P. Girardi, MDASSISTANT PROFESSOR

    OF ORTHOPEDIC SURGERY

    Hospital for Special Surgery

    New York, NY 10021

    INTRODUCTION

    A s people age, the lumbar discs undergo a progressivealteration of chemical composition and biomechanicalproperties. This combination of chemical and biomechanical

    changes can lead to back pain. Nucleus Arthroplasty inter-

    ventions are emerging that intend to replace the nucleus of the

    diseased lumbar disc for treatment of patients with discogenic

    pain. Understanding the natural progression of disc degenera-

    tion is paramount to under-

    standing the function of such

    devices. This chapter summa-

    rizes what is generally under-

    stood about the degenerative

    cascade and the resulting

    biomechanical changes.

    NUCLEUS ARTHROPLASTY INTERVENTIONS ARE

    EMERGING THAT INTEND TO REPLACE THE NUCLEUS

    OF THE DISEASED LUMBAR DISC FOR TREATMENT OF

    PATIENTS WITH DISCOGENIC PAIN.

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    AGING AND LUMBAR DISC DEGENERATION

    There is a complex arrangement of bones and cartilage that make

    up each spinal motion segment. The intervertebral disc along with

    the apophyseal joints allow for flexibility while also helping to

    maintain the stability of the spine (Figure 1).1 The disc is some-

    times seen as a cushion between vertebral bodies to help absorb

    and distribute applied forces. Each disc is made up of an anulus,

    a nucleus pulposus, and the cartilage endplates. The intricate

    lamellar arrangement between the fibers of the anulus fibrosus

    exteriorly, and the nucleus pulposus within, serve to absorb the

    forces applied to the spine. In healthy discs, there is a harmonious

    relationship between the components, such that compressive axial

    forces produce an increase in hydrostatic pressure in the nucleus

    pulposus, and this pressure is transmitted to the anulus where it

    is absorbed as tensile stress.2 Thus, the anulus sees tensile stress as

    well as compressive stress. The need to support this complex stress

    explains, to some extent, the orientation of the fibers of the

    anulus. The hydrophilic proteoglycans in the nucleus control the

    diurnal influx and efflux of water and nutrients that keep the discs

    healthy and give them their normal function. The osmotic and

    hydrostatic properties of the disc are not static.3, 4 As people age,

    the discs can begin to desiccate and become depleted of nutrients.Disc waste products accumulate, decreasing the concentration of

    viable cells, resulting in changes in the biomechanical properties

    of the disc.5

    THE DEGENERATIVE CASCADE

    As explained in Book IFundamentals, Chapter 1 of this series,

    the result of the disc aging and degenerating is a net decrease in

    the amount of aggregated proteoglycan and an increase in the

    non-aggregated proteoglycans, which leads to lower osmotic

    water binding capacity and loss of compressive resistance in the

    lumbar disc. As forces are applied to these biologically altered

    discs, there is a greater likelihood that damage will occur to the

    anulus fibrosus creating a vicious cycle of degeneration.6, 7

    Kirkaldy-Willis et al8 described lumbar disc degeneration as a

    cascade that impacts the three joint complex. The first stage of

    the cascade is known as the Dysfunctional Stage and corresponds

    to the early onset of disc degeneration. The net result of the

    Dysfunctional Stage is a tearing of the outer anulus fibrosus sec-

    ondary to repetitive micro trauma. This is clinically manifested

    7

    Nucleus Anulus

    IntervertebralDisc

    Figure 1Major components of spinal complex.

    THE RESULT OF THE DISC AGING AND DEGENERATING IS A NET DECREASE IN THE

    AMOUNT OF AGGREGATED PROTEOGLYCAN AND AN INCREASE IN THE NON-AGGREGATED

    PROTEOGLYCANS, WHICH LEADS TO LOWER OSMOTIC WATER BINDING CAPACITY AND

    LOSS OF COMPRESSIVE RESISTANCE IN THE LUMBAR DISC.

    THERE IS A COMPLEX ARRANGEMENT OF BONES AND

    CARTILAGE THAT MAKE UP EACH SPINAL MOTION SEG-

    MENT. THE INTERVERTEBRAL DISC ALONG WITH THE

    APOPHYSEAL JOINTS ALLOW FOR FLEXIBILITY WHILE AL

    HELPING TO MAINTAIN THE STABILITY OF THE SPINE.

    ApophysealJoint

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    8

    as a mechanical low back pain that is episodic. During this stage

    there is also a dehydration of the nucleus pulposus.8

    The second stage is called the Instability Stage. This is represen-

    tative of more significant damage to the disc secondary to a

    delamination of the layers of the anulus fibrosus. Vertebral seg-

    mental instability can occur resulting in further damage and loss

    of proteoglycan composition in the nucleus pulposus.8

    The third stage is the Stabilization Stage. This occurs when there

    is resorption of the nucleus pulposus and worsening of interver-

    tebral disc space collapse. This is the stage where osteophytes

    form secondary to anular traction on vertebral endplates and

    spinal stenosis may result.8

    MRI CHARACTERISTICS OF

    LUMBAR DISC DEGENERATION

    The Kirkaldy-Willis stages described above can be radiographi-

    cally characterized by multiple imaging techniques, but magnetic

    resonance imaging (MRI) evaluation is the gold standard. Stage I

    (Dysfunctional) is usually manifested on MRI imaging techniques

    by the presence of a High Intensity Zone lesion of the posterior

    anulus fibrosus, and an overall decrease signal intensity of the disc

    on T2-weighted sequences in the sagittal plane (Figure 2a).9

    Stage II (Instability) is manifested on MRI with further loss

    of disc space height and progressive desiccation resulting in a

    darker disc (Figure 2b). Disc herniations can present in Stage II

    because a loss of anular integrity may result in herniation of the

    nucleus pulposus.9

    Stage III (Stabilization) is manifested on MRI by worsening of

    disc space collapse and by the presence of osteophyte formation

    coupled with soft tissue redundancy or hypertrophy, resulting

    in central canal, subarticular lateral recess, or foraminal stenosis

    (Figure 2c).9

    Figure 2MRI images of degenerative cascade. (a) Dysfunction StageHigh Intensity Zone lesion of the posterior anulus fibrosus with decrease

    signal intensity of the disc on T2-weighted image. (b) Instability StageDisc collapse with continued decrease in signal intensity.

    (c) Stabilization StageContinued disc collapse, osteophyte formation, stenosis of neural structures.

    a Dysfunction bInstability cStabilization

    THE KIRKALDY-WILLIS STAGES DESCRIBED

    CAN BE RADIOGRAPHICALLY CHARACTERIZED

    BY MULTIPLE IMAGING TECHNIQUES BUT MRI

    EVALUATION IS THE GOLD STANDARD.

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    9

    THE PAIN GENERATOR

    The radiographic findings and histomorphology of disc degener-

    ation are objective signs of the presence of a disease state that can

    be measured, but these findings may not always correlate with the

    patients symptoms.10 The pain generators in degenerative disc

    disease (DDD) are multifactorial and can be chemically mediated

    or mechanically induced. The loss of disc structure and biome-

    chanical integrity results in alterations of the load-sharing prop-

    erties of the lumbar disc and the vertebral bodies.3 The nerve

    endings in the facet joints, spinal ligaments, and para-spinous

    musculature are then stimulated and result in pain. The chemical

    mediation of back pain occurs from the release of cytokines and

    free radicals along with cellular debris from matrix degeneration.

    This results in nocioceptive stimulation of nerve endings and

    resultant back pain. These conclusions are based on Buckwalters

    articles.5 As discs become progressively more degenerated, they

    demonstrate an ingrowth of blood vessels and nerve fibers

    beyond the outer anulus which may also contribute to the onset

    of back pain. Normal lumbar discs do not typically have blood

    vessels or nerve fibers inside of the outer anulus.

    BIOMECHANICAL CHANGES

    According to Horst et al, non-degenerated discs exhibit fluid-like

    properties, whereas degenerated discs have properties that are

    more like those of a solid. The normal nucleus pulposus behavessimilar to a viscous fluid: with degeneration, it shows an increase

    in shear modulus and becomes stiffer and more elastic.11 As the

    tissue transitions from fluid-like to more solid-like properties, there

    is an associated decrease in hydrostatic pressurization. Hydrostatic

    pressurization of the nucleus pulposus allows the intervertbral disc

    to support large loads which may be several times total body

    weight.16 The majority of these loads are typically carried through

    the anterior column of the spine. However, as the nucleus pulposus

    degenerates, a large proportion of load transmission is shifted to

    the posterior elements and facet joints.13,17 This results in increased

    facet loading and degeneration as well as an increase in back pain.

    According to Buckwalter it appears that the degenerative process

    affects the nucleus pulposus and cartilage endplate more sig-

    nificantly than the anulus fibrosus with respect to changes in

    material properties.5, 17

    Studies have shown that there also are changes in the kinematics

    of the discs as a result of varying degrees of degeneration. The

    relationships between the soft tissue laxity and changes in kine-

    matics of the lumbar spine were studied extensively by Mimura,

    Fujiwara, Krismer, and Frei.12-15

    Despite the fact that there weremixed results from the studies, an assessment of the general

    trends suggests that segmental motion is increased and the

    motion segment becomes more unstable in the earlier phases of

    degeneration when the anulus becomes slack. As degeneration

    continues to more advanced stages, a re-stabilization seems to

    occur as disc space height is lost, the nucleus becomes more

    fibrotic, and there is a net decrease in the flexibility.

    Nucleus Arthroplasty technologies are emerging as an alternative

    early surgical treatment for patients with degenerative disc dis-

    ease. Removing the diseased disc nucleus and replacing it with a

    nuclear replacement device could improve and possibly restore

    the load bearing and kinematic properties of the degenerated

    segment to a more physiologic level.19 Providing resistance to

    compressive loads while reducing segment instability may help

    ensure transmission of loads applied to the spine will be pre-

    dominantly maintained in the anterior column, thereby unload-

    ing the facet joints and decreasing pain.2 Also, by maintaining

    segment height and anular stability, the stimulation of the free

    nerve endings in the outer anulus may be minimized and there-

    fore decrease discogenic back pain. Biomechanical studies evalu-

    ating the kinematic restoration, axial load sharing, endplate

    mechanics and anular repair with Nucleus Arthroplasty repair

    are discussed in more detail in the following chapters.

    PROVIDING RESISTANCE TO COMPRESSIVE LOADS

    WHILE REDUCING SEGMENT INSTABILITY MAY HELP

    ENSURE TRANSMISSION OF LOADS APPLIED TO THE

    SPINE WILL BE PREDOMINANTLY MAINTAINED IN THE

    ANTERIOR COLUMN, THEREBY UNLOADING THE

    FACET JOINTS AND DECREASING PAIN.

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    10

    CONCLUSION

    Taking into consideration the varying degrees of disc degeneration

    and the biomechanical changes that occur, one of the challenges of

    treatment becomes defining a point for surgical intervention.

    Considering the important biomechanical role of the nucleus pul-posus, an attempt to restore or recreate the function of a healthy

    nucleus appears to be a target point for intervention.18 Patients who

    are found to have early or mid-stage degenerative disc disease, and

    who show signs of progression of degeneration, are potential can-

    didates for nucleus replacement. Removing the damaged nucleus

    pulposus and replacing it with a Nucleus Arthroplasty device to

    restore the biomechanical properties of the given motion segment

    may be beneficial in breaking the degenerative cascade.

    REFERENCES

    1. White AA, Panjabi MM. Clinical Biomechanics of the Spine. Philadelphia:

    Lippincott Williams & Wilkins; 1990.

    2. Goins ML, Wimberley DW, Yuan PS, Fitzhenry LN, Vaccaro AR. Nucleus

    pulposus replacement: an emerging technology. Spine J 2005 Nov-Dec;

    5(6 Suppl):317S-24S.

    3. Setton LA, Chen J. Mechanobiology of the intervertebral disc and relevance to

    disc degeneration. J Bone Joint Surg Am 2006 Apr;88 Suppl 2:52-7.

    4. Buckwalter JA, Mow VC, Bowden SD, Eyre DR, Weidenbaum M. Intervertebral

    Disk Structure, Compostion, and Mechanical Function. In: Buckwalter JA,

    Ainhorn TA, Simon SR, editors. Orthopaedic Basic Science Biology and

    Biomechanics for the Musculoskeletal System. 2nd ed. Rosemont, IL:

    American Academy of Orthopaedic Surgeons; 2000. p.548.

    5. Buckwalter JA, Boden SD, Eyre DR, Mow VC, Weidenbaum M. IntervertebralDisk Aging, Degeneration, and Herniation. In: Buckwalter JA, Ainhorn TA,

    Simon SR, editors. Orthopaedic Basic Science Biology and Biomechanics for

    the Musculoskeletal System. 2nd ed. Rosemont, IL: American Academy of

    Orthopaedic Surgeons; 2000. p.558.

    6. Kurowski P, Kubo A. The relationship of degeneration of the intervertebral

    disc to mechanical loading conditions on lumbar vertebrae. Spine 1986

    Sep;11(7):726-31.

    7. Rohlmann A, Zander T, Schmidt H, Wilke HJ, Bergmann G. Analysis of the

    influence of disc degeneration on the mechanical behaviour of a lumbar

    motion segment using the finite element method. J Biomech

    2006;39(13):2484-90.

    8. Kirkaldy-Willis WH, Wedge JH, Yong-Hing K, Reilly J. Pathology and patho-

    genesis of lumbar spondylosis and stenosis. Spine 1978 Dec;3(4):319-28.

    9. Benneker LM, Heini PF, Anderson SE, Alini M, Ito K. Correlation of radi-

    ographic and MRI parameters to morphological and biochemical assessment

    of intervertebral disc degeneration. Eur Spine J 2005 Feb;14(1):27-35.

    10. Kjaer P, Albert H, Jensen TS, Leboeuf-Yde C, Bendix T, Wedderkopp N, et al.

    Back pain, radiology and end plate changes by means of Modic. Ugeskr

    Laeger 2006 Apr 24;168(17):1668,9; author reply 1669.

    11. Horst M, Brinckmann P. 1980 Volvo award in biomechanics. Measurement of

    the distribution of axial stress on the end plate of the vertebral body. Spine

    1981 May-Jun;6(3):217-32.

    12. Mimura M, Panjabi MM, Oxland TR, Crisco JJ, Yamamoto I, Vasavada A.

    Disc degeneration affects the multidirectional flexibility of the lumbar spine.

    Spine 1994 Jun 15;19(12):1371-80.

    13. Fujiwara A, Lim TH, An HS, Tanaka N, Jeon CH, Andersson GB, et al. The

    effect of disc degeneration and facet joint osteoarthritis on the segmental

    flexibility of the lumbar spine. Spine 2000 Dec 1;25(23):3036-44.

    14. Krismer M, Haid C, Behensky H, Kapfinger P, Landauer F, Rachbauer F.

    Motion in lumbar functional spine units during side bending and axial

    rotation moments depending on the degree of degeneration. Spine 2000

    Aug 15;25(16):2020-7.

    15. Frei H, Oxland TR, Rathonyi GC, Nolte LP. The effect of nucleotomy on

    lumbar spine mechanics in compression and shear loading. Spine 2001

    Oct 1;26(19):2080-9.

    16. Johannessen W, Elliott DM. Effects of degeneration on the biphasic material

    properties of human nucleus pulposus in confined compression. Spine 2005

    Dec 15;30(24):E724-9.

    17. Niosi CA, Oxland TR. Degenerative mechanics of the lumbar spine. Spine J

    2004 Nov-Dec;4(6 Suppl):202S-8S.

    18. Di Martino A, Vaccaro AR, Lee JY, Denaro V, Lim MR. Nucleus pulposus

    replacement: basic science and indications for clinical use. Spine 2005 Aug

    15;30(16 Suppl):S16-22.

    19. Le Huec JC, Aunoble S, Basso Y, Tournier C, Yamada K. Biomechanical

    Considerations for Total Lumbar Disk Replacement. In: Kim DH, Cammisa

    FP, Fessler RG, editors. Dynamic Reconstruction of the Spine. Thieme

    Medical Publishers; 2006. p.149.

    CONSIDERING THE IMPORTANT BIOMECHANICAL ROLE OF THE NUCLEUS

    PULPOSUS, AN ATTEMPT TO RESTORE OR RECREATE THE FUNCTION OF A

    HEALTHY NUCLEUS APPEARS TO BE A TARGET POINT FOR INTERVENTION.

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    11

    Chapter 8 Principles and MechanicalRequirements of Nucleus Implant

    Prof. Dr. Hans-Joachim Wilke

    PROFESSSORInstitute of Orthopaedic Research and Biomechanics

    University of Ulm

    Ulm, Germany 89081

    BASIC BIOMECHANICAL CONSIDERATIONS

    N

    on-fusion technologies in spinal surgery gain more and

    more popularity. Constantly, new ideas are created and

    turned into new products. Each idea has its own philosophy with

    the principle goal to maintain the motion in the treated segment.

    In contrast to total disc implants, nucleus implants are designed

    to preserve as many spinal structures as possible. These implants

    restore and maintain disc height and/or original mobility.

    In many cases, disc degeneration or disc prolapse is treated just by

    nucleotomy and decompression; this can produce a good out-

    come due to decom-

    pression of the nerve

    roots. However, in some

    patients this treatment isinsufficient and back

    pain recurs after a while.

    This may be explained

    by the nucleotomy,

    which causes a reduc-

    tion in disc height proportional to 0.8 mm/g removed material.

    Thus the average amount of removed nucleus material of 3 g leads

    to a height loss of 2.4 mm, which can be associated with an

    THE AVERAGE AMOUNT OF REMOVED NUCLEUS MATERIAL

    OF 3 G LEADS TO A HEIGHT LOSS OF 2.4 MM, WHICH CANBE ASSOCIATED WITH AN INCREASE IN THE SEGMENTAL

    RANGE OF MOTION OF ABOUT 20-30%, AND AN INCREASE

    IN THE NEUTRAL ZONE OF UP TO 100%.

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    increase in the segmental range of motion of about 20-30%, and

    an increase in the neutral zone of up to 100%. This instability

    can lead to more stress in the remaining anulus and facet joints

    resulting in further degeneration. This height loss may also be

    associated with bulging of the anular ring leading to an unphysi-

    ological strain pattern in the anulus; this may affect the cells in

    these structures. Bulging of the disc is about 1mm per 1 kN up

    to 2.5 kN axial preload.1 It seems that this disc bulging is slightly

    higher anteriorly than posteriorly.2 The data suggests that this

    bulging may even increase further when the spine is bent. This

    effect sometimes is compared with a rather flat car tire (this

    problem is sometimes called flat-tire syndrome). Removing the

    disc from one side creates a slight asymmetry due to the hole.

    Finite element analysis suggests that the regions of the disc that

    show the largest bulging also show the highest strain. This seems

    to be the posterolateral region of the disc, where the strain is

    exaggerated after removal of the nucleus.

    VARIOUS TYPES OF NUCLEUS DEVICES

    The advantage of a nucleus prosthesis as compared to a total

    disc prosthesis is that the nucleus device generally allows the

    preservation of the existing anatomical structures including

    the anulus, vertebral endplates, and ligaments.

    In theory, an optimum nucleus replacement should restore the

    mobility and re-establish the intact disc height, thereby restoring

    the nominal stresses and strains of the collagen fibres in the anu-

    lus. This seems to be a superior situation as compared to leaving

    the disc alone after a discectomy.

    The origin of the idea to replace the nucleus goes back to the

    1950s. The first idea was to fill the nuclear cavity with polymethyl

    methacrylate (PMMA) or silicone.3,4 Since that time a variety of

    solutions to replace the nucleus have been developed.5 This pres-

    ent article tries to classify the different ideas into the three cate-

    gories: mechanical nucleus devices, polymer implants, and tissue

    engineered nucleus implants.

    Nucleus Implants

    Polymer Tissue EngineeredMechanical

    Steelball, Fernstrm

    Regain, Biomet Inc.

    IPD, Dynamic Spine

    knitted titanium, Buck

    Natural

    ScaffoldsSyntheticScaffolds

    Pre-FormedIn situ

    Formed

    Hydrogel Polyurethane

    with jacket w/o jacket

    Silicone Hydrogel Other

    Material

    ThermoResponsive

    PolymerDual Disc cylinders,

    Ray and Corbin

    PDN, Raymedica, LLC

    SaluDisc, Spine Medica

    Aquarelle, Stryker

    NeuDisc,Replication Medical, Inc.

    Newcleus, Zimmer Spine

    DASCOR, DiscDynamics Inc.

    SINUX ANR, DePuy

    NuCore, Spine Wave

    BioDisc, CryoLife

    PNR, TranS1

    DiscCell, Gentis

    PMMA, Hamby andGlaser

    Collagen Gels Hyaluronic Acid

    Fleece of PLA Textiles

    PDN-SOLO, Raymedica, LLC

    PDR, TranS1

    NUBAC, Pioneer Surgical

    CL-Disc, Interpore Cross

    Gelifex SP/ IP,SYNTHES Inc.

    with balloon w/o balloon

    HydroFlex, Raymedica, LLC Figure 1Classification chart of the different nucleus replacement devices.

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    MECHANICAL IMPLANTS

    Fernstrm implanted the first mechanical nucleus replacement

    device in 1966. This implant consisted of a stainless steel ball

    that was placed in the disc space.6 Clinically, it proved unsuc-

    cessful because the ball subsided into the endplates and served

    as a fusion device. Later, other mechanical devices were devel-

    oped that were made of less stiff materials and incorporated a

    larger contact area with the endplates. As an example, Regain

    (Biomet, Inc.) is made of one piece of highly-polished, pyrolytic

    carbon with a Youngs modulus similar to cortical bone.

    NUBAC (Pioneer Surgical Technology) is a ball and socket

    nucleus replacement device made of PEEK with tantalum mark-

    ers. Other mechanical devices include the CL-Disc (Biomet,

    Inc.) which is composed of solid, zirconia ceramic, incorporat-

    ing a porous titantium keel; and the IPD (Dynamic Spine) that

    consists of metallic springs and is fixed to the vertebrae.

    The TranS1 PDR (Percutaneous Disc Reconstruction) can also

    be considered as a mechanical device; this device allows a sup-

    ported nucleus or mechanical nucleus replacement. It has all the

    benefits of the PNR with an in situformed silicone absorber (as

    described later), and a metal-on-metal central pivot that helps

    share the load. The device is implanted using a TranS1 pre-sacral

    axial approach to the lumbar spine. With the pre-sacral approach,

    the integrity of the anulus and ligaments is maintained, as are any

    future surgical options.

    A new idea describes an implant made of knitted titanium fila-

    ments Buck (Germany), which provides the physiological stiffness

    and motion of a spinal segment and seems to have no dislocation

    tendency. All these mechanical implants require suturing the anu-

    lus after implantation.

    POLYMER IMPLANTS

    As the mechanical devices are often too stiff, many researchers have

    experimented with various polymers to create softer nucleus

    implants. These softer nucleus implants are used as either preformed

    shapes or alternatively the shape is allowed to developin situ.

    Preformed

    Hydrogel

    Hydrogel is the most preferred material for preformed nucleus

    devices made of polymers. It has been demonstrated that PVA(non-ionic hydrogel) has a similar swelling pressure characteris-

    tic of the natural nucleus. Due to their hydrophilic characteristic

    the hydrogels can swell. This means that they can be implanted

    in the dehydrated state through smaller channels in the anulus.

    After implantation the hydrogel increases in size; this can reduce

    the risk of expulsion.

    In 1988, Charles Dean Ray, MD, FACS had the idea for a nucleus

    implant that consisted of a doppel woven spiral of flexible, high-

    tensile-strength polymeric fibers and tissue ingrowth-promoting,

    polyglycolic acid filaments. The cylinder contained a viscous

    hygroscopic semifluid. This resulted in the development of the

    prosthetic disc nucleus (PDN) device marketed by Raymedica,

    LLC. In the first stages of development, the PDN device consisted

    of two parts, an anterior and posterior hydrogel pellet comprised

    of hydrolyzed poly-acrylonitrile polymer (Hypan), each enclosed

    in a woven polyethylene jacket. These were both oriented in a

    transverse position within the disc cavity. Once implanted, the

    hydrophilic hydrogel pellet absorbed fluid and increased in volume

    until restricted by the confines of the now tight, polyethylene

    jacket. The original intact disc height was restored after implanta-

    tion of the device. However, an effect from the hydration could

    not be measured.7 Because of a high expulsion rate, this two-part

    device was modified into a single, but bigger, implant called

    PDN-SOLO. The current version, the HydraFlex device, is a

    softer, faster hydrating, more contoured device compared to the

    PDN-SOLO, and its preformed shape fits the endplate surface

    geometry better with the goal to minimize the risk of subsidence.

    A hydrogel without a jacket was also used. The Aquarelle (1998,

    Stryker Spine) is made of a semihydrated poly-vinyl-alcohol

    (PVA) hydrogel allowing 80% water content. This provides vis-

    coelastic properties similar to the nucleus. Unfortunately, clinical

    trails have demonstrated a high expulsion rate.

    In 2000, Replication Medical presented the NeuDisc; a modi-

    fied hydrolyzed poly-acrylonitrile polymer (Aquacryl) rein-

    forced by a Dacron mesh. This anisotropic implant is able to

    absorb up to 90% of its weight. It takes 18 hours to reach full

    size in laboratory testing.

    Another hydrogel implant called SaluDisc (Spine Medica)

    is made of Salubria. This material contains water in similar

    proportions to human tissue.

    THE FIRST MECHANICAL NUCLEUS IMPLANT

    WAS SUGGESTED IN 1966 BY FERNSTRM WHO

    IMPLANTED A STAINLESS STEEL BALL AS A

    SPACER INTO THE DISC.

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    Polyurethane

    Polycarbonate urethane (PCU) was used for the Newcleus

    (Zimmer Spine) in 2003. This consisted of a preformed spiral

    which allowed implantation using a minimally invasive tech-

    nique. The implant material was able to absorb water up to

    35% of its own weight. Functionally, it acted as a spacer with

    some shock-absorbing capabilities.

    In situ formed

    Manyin situformed nucleus prostheses have been tried out since

    the first attempt by Nachemson in the early 1960s. The concept is

    to inject a curable polymer into the nuclear space. The advantage

    of anin situformed nucleus replacement is that it can be injected

    non-invasively using a small needle. It is hoped that this type of

    implant will be at a low risk for expulsion. In contrast to the pre-

    formed implants, which are implanted into the cavity and can

    increase disc height, the injectable polymers cannot be injected

    with enough pressure to increase disc height.

    It has yet to be proved that in situcured polymer can provide enough

    mechanical strength to support the applied load plus have the

    required mechanicalin vivofatigue life. One potential disadvantage

    ofin situformed devices is toxicity due to unreacted monomers.

    Therefore, forin situformed devices, the polymerization process

    is critical to ensure long-term biocompatability.

    Thermo responsive polymer

    One product that is injected as anin situformed material is

    DASCOR (Disc Dynamics). The material, a cool polyurethane

    polymer (18 C), is injected under pressure into a polyurethaneballoon through an attached catheter. It takes a minimum of 12

    to 15 minutes to solidifyin situ.

    Another thermo-responsive polymer is poly (N-isopropylacrylamide)

    or PNIPAAm, although specific details are not yet available.

    A polymer-based hydrogel which is liquid at room temperature

    is used for the Gelifex (SYNTHES). This implant looks like a

    porous rubber ball after solidification at body temperature.

    Silicone

    A silicone-based artificial nucleus replacement SINUX ANR

    (SiniTech AG, Depuy Spine) is made of a liquid polymethylsilox-

    ane (PMSO) polymer. This is also injected into the void of the

    disc and curesin situin approximately 15 minutes.

    TranS1 PNR (Percutaneous Nucleus Replacement) is an in situ

    formed nucleus replacement technology. The nucleotomy and

    device implantation is completed using the trans-sacral axial

    approach to the lumbar spine, preserving the anulus and liga-

    ments. A hollow screw is threaded axially providing distraction

    of the disc space. Silicone is injected through the screw to fill

    the created cavity and help maintain motion.

    Hydrogel

    Severalin situcurable hydrogel implants are currently under

    development. The Biodisc (CryoLife) is a protein hydrogel

    device (PHD), which cures in 2 minutes after injection into the

    disc space. The properties are supposedly similar to the human

    nucleus and there is no exothermic reaction during the harden-

    ing process. The material is similar to epoxy glue and bonds to

    the anulus, which hopefully reduces the expulsion risk.

    The NuCore Nucleus Device (Spine Wave) is based on a

    hydrogel composed of synthetic silk-elastin copolymer. This

    material has no measurable exothermic reaction.

    Other Polymers

    In 1959, Hamy and Glaser suggested injecting PMMA into the

    disc. PMMA, which is commonly used as bone cement, cures with

    a high exothermic reaction. This is a cheap procedure and was

    often used clinically, particularly by neurosurgeons in Germany.

    Anotherin situcured nucleus implant is the DiscCell (Gentis).

    This is anin situpolymerising material that is injected into the

    disc space. Little information is available at the present time.

    Tissue Engineered Implants

    Recently, it has been shown that seeding or reinserting cells inside

    the intervertebral disc may preserve disc structures by slowing

    down the degeneration processes.8,9 It was also hypothesized that the

    inserted cells might restore the anulus and nucleus tissue. These cell

    injection methods could not produce a restoration of disc height.

    MANY IN SITUFORMED NUCLEUS PROSTHESES HAVE

    BEEN TRIED OUT SINCE THE FIRST ATTEMPT BY

    NACHEMSON IN THE EARLY 1960S. THE CONCEPT IS TO

    INJECT A CURABLE POLYMER INTO THE NUCLEAR SPACE.

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    The idea of a tissue-engineered nucleus implant is to seed cells

    in a three-dimensional matrix. This matrix would serve as a scaf-

    fold to produce a structure of mechanical stiffness and adequate

    mechanical properties. The seeded cells could be intervertebral

    disc cells or mesenchymal progentitor cells (MPCs).

    Natural Scaffolds

    Nucleus scaffolds can be produced from natural materials such

    as collagen or hyaluronic acid. A recent study presented a three-

    dimensional collagen-I matrix made of rat-tail collagen (ARS

    Arthro, AG, Esslingen, Germany) that might be suitable to serve

    as scaffold for cell seeding and eventual nucleus replacement.10

    The problems of restoring disc height and implant expulsion

    using a tissue-engineered nucleus have yet to be solved.11 Scaffolds

    made of hyaluronic acid could be utilized, although the implant

    might degrade after regeneration of the disc.

    Natural material composites are currently being developed for

    use as nucleus scaffolds. In any case, it is questionable whether

    a natural scaffold would be sufficiently load-bearing.

    Synthetic Scaffolds

    Better load-bearing characteristics may be obtained with synthetic

    materials, which may be fabricated of fleece or other combina-

    tions of textiles. Because of a higher density and stiffness, they

    might be introduced into the disc space and further compressed

    to increase the stiffness, allowing more volume to be inserted.

    Such approaches are currently under study at universities in

    Dresden, Heidelberg and Ulm.

    PRECLINICAL MECHANICAL AND BIOMECHANICAL

    TESTING OF NUCLEUS DEVICES

    Before being put into clinical practice, nucleus implants and the

    surgical approaches for implantation should be tested. Some

    of the new biological solutions may not be testable in all test

    configurations. Nevertheless, the following principles are

    suggested in order to compare the different nucleus devices.

    Mechanical tests

    Static tests

    Prior to any implantation, mechanical tests on the implant mustbe carried out to ensure that the implant can sustain certain loads

    and has sufficient fatigue life. For example, static loads are used to

    determine the stiffness and the yield point of the implant.

    Dynamic tests

    Dynamic loads at a rate of 4 Hz or less are necessary to prove

    that the implants are able to withstand at least 10,000,000 cycles

    without collapsing, disconnecting, or deforming permanently.

    They also may be used as wear tests to determine how much and

    what kind of debris are produced under expectedin vivoloads

    and motions.

    These mechanical tests should be performed between two polyac-

    etal or equivalent test blocks. The test blocks will eliminate the

    effects of the variability of bone properties and morphology for the

    fatigue tests. These tests should be performed in a defined testing

    environment (e.g. in a 0.9% saline environmental bath at 37C).

    Other tests such as hydrating tests may also be important with

    implants made of hydrogel.

    Biomechanical tests

    Functional in vitro flexibility tests

    In contrast to the pure mechanical tests, another category of tests

    with the goal to determine thein situperformance is flexibility

    tests. These are ideally performed using human cadaveric spine

    specimens. These tests require mechanical testing machines that

    allow loads that simulate the physiological motion of the specimens

    with the implants in place.

    TH E ID EA OF A T IS S U E- ENGINEERED NU C L EU S IM PL A NT IS TO S EED C EL L S

    IN A TH REE- D IM ENS IONA L M A TRIX. TH IS M A TRIX W OU L D S ERVE A S A

    S C A FFOL D TO PROD U C E A S TRU C TU RE OF M EC H A NIC A L S TIFFNES S A ND

    A D EQU ATE M EC H A NIC A L PROPERTIES .

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    They should be carried out in flexion/extension, lateral bending,

    and axial rotation. It is recommended for standardization that

    they are tested under pure moments without preload.12 Eventually,

    tests under shear loading, compression, muscle forces, and other

    representativein vivoloads should also be carried out. To decidethe best approach in a given clinical situation, in vitroevaluation

    involving intact, nucletomized, or degenerated specimens with the

    device implanted provide the most realistic option.

    The parameters which should be determined are the range of

    motion and the neutral zone in the different motion planes, shear

    translations, and height changes. These parameters, however, do

    not represent the full information about the kinematics. Therefore,

    the center of rotation or helical axis could also be important infor-

    mation about the load sharing between the different structures of

    the spinal segment.

    Additional biomechanical tests

    A hard implant leads to a high stress concentration on the end-

    plate (seen as Modic changes) which may lead to remodeling,

    subsidence, or even to failure of the endplate, particularly with

    poor bone quality. For this reason, other specific set-ups may be

    required to determine the endplate deformations.

    One of the goals of nucleus replacement is to re-establish the

    physiological strain on the anulus, which is assumed to be one of

    the prerequisites in order to maintain healthy tissue. This may beindirectly determined by comparing the bulging of the intact,

    nucleotomized, treated disc.

    In vitro test with cyclic loading

    Depending on the type of device, expulsion or subsidence of the

    implant may be a problem. In order to evaluate these types of

    biomechanical failures the specimens should be subjected to

    cyclic loading as well. Because of degradation of the cadaveric

    tissue the testing time may be limited. Thus 100,000 cycles with

    possibly exaggerated loads should at least be attempted.

    Following this cyclic test or several times during the test secondary

    stability tests should be performed as described above.12

    Animal experiments

    In addition to the tests described above, animal experiments may

    be useful to evaluate the efficacy and reliability of nucleus

    implants. However, the ability to design a scaled version for ani-

    mal implantation, coupled with the validity of the available ani-

    mal species, has potential limitations for extrapolating expected

    human performance.

    CONCLUSION

    Nucleus replacement is an exciting technology and may be a

    promising alternative to other non-fusion technologies. Many

    different ideas are available or in the development stages. Besides

    the mechanical challenges presented to the implant, the implant

    has to re-establish the physiological biomechanics of a spinal

    segment, plus remain in the disc space and not expulse or sub-

    side through the endplate. However, the ultimate judge of the

    implant is not the biomechanical data, but the clinical outcome.

    REFERENCES

    1. Stokes, I. A. (1988). Bulging of lumbar intervertebral discs: non-contacting

    measurements of anatomical specimens. J Spinal Disord 1(3): 189-93.

    2. Brinckmann, P. (1986). Injury of the anulus fibrosus and disc protrusions. An

    in vitroinvestigation on human lumbar discs. Spine 11(2): 149-53.

    3. Hamby, W. B. and H. T. Glaser (1959). Replacement of spinal intervertebral disc

    with locally polymerizing methyl methacrylate: experimental study of effectsupon tissues and report of a small clinical series. J Neurosurg 16(3): 311-3.

    4. Nachemson, A. (1962). Some mechanical properties of the lumbar interverte-

    bral discs. Bull Hosp Joint Dis 23: 130-43.

    5. Carl, A., E. Ledet, et al. (2004).New developments in nucleus pulposus

    replacement technology. Spine J 4(6 Suppl): 325S-329S.

    6. Fernstrm, U. (1966). Arthroplasty with intercorporal endoprothesis in

    herniated disc and in painful disc. Acta Chir Scand Suppl 357: 154-9.

    7. Wilke, H. J., S. Kavanagh, et al. (2001). Effect of a prosthetic disc nucleus on

    the mobility and disc height of the L4-5 intervertebral disc postnucleotomy.

    J Neurosurg 95(2 Suppl): 208-14.

    8. Nishimura, K. and J. Mochida (1998). Percutaneous reinsertion of the nucleu

    pulposus. An experimental study. Spine 23(14): 1531-8; discussion 1539.9. Okuma, M., J. Mochida, et al. (2000). Reinsertion of stimulated nucleus pul-

    posus cells retards intervertebral disc degeneration: an in vitroand in vivo

    experimental study. J Orthop Res 18(6): 988-97.

    10. Neidlinger-Wilke, C., K. Wurtz, et al. (2005).A three-dimensional collagen

    matrix as a suitable culture system for the comparison of cyclic strain and hydro-

    static pressure effects on intervertebral disc cells.J Neurosurg Spine 2(4): 457-65

    11. Wilke, H. J., F. Heuer, et al. (2006). Is a collagen scaffold for a tissue engi-

    neered nucleus replacement capable of restoring disc height and stability in

    an animal model? Eur Spine J 15 Suppl 3: S433-8.

    12. Wilke, H.-J., K. Wenger, et al. (1998). Testing Criteria for Spinal Implants:

    Recommendations for the Standardization ofIn VitroStability Testing of

    Spinal Implants. European Spine Journal 7: 148-154.

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    Chapter 9 Kinematic Demands ofNucleus ArthroplastyTechnolog

    Denis J. DiAngelo, PhD

    ASSOCIATE PROFESSORDepartment of Biomedical Engineering and Imaging

    The University of Tennessee Health Science Center

    Memphis, TN 38138

    Brian P. Kelly, PhDASSISTANT PROFESSOR

    Department of Biomedical Engineering and Imaging

    The University of Tennessee Health Science Center

    Memphis, TN 38138

    17

    KEY POINTS

    The instantaneous axis of rotation (IAR) is an important factor

    of spinal segment kinematics; however, there is no consensus on

    where the IAR of the lumbar disc is during flexion/extension.

    Alignment of device IAR and spinal segment IAR is important for

    optimal performance of interbody motion preservation devices.

    Previous testing of non-compliant interbody motion technolo-

    gies demonstrated non-concentric IARs may lead to an over

    constrained condition, resulting in failure of the device to

    provide adequate motion restoration. Compliant nucleus replacement technologies do not have a pre-

    scribed axis of rotation. A new test methodology is proposed for

    evaluating the kinematic restorative effect for such devices.

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    DEFINITIONS AND TERMINOLOGY

    Kinematics:describes the movement between two rigid bodieswith no consideration to the forces involved. Movement of a

    body can be described in Cartesian coordinates as having three

    orthogonal translations and three rotations about each transla-

    tional axis. The motion can be described in two-dimensions

    (2D) or three dimensions (3D). For 2D motion, two translations

    and one rotation are required. Additional kinematic parameters

    can be calculated that describe motion and include the center of

    rotation (CR) in 2D, the helical axis of motion (HAM) in 3D, or

    their instantaneous components (ICR or IHAM).

    Stiffness (inverse of flexibility):the ability of a structure todeform per unit displacement. The typical load-displacement

    curve for spinal MSU displays a non-linear relationship having

    two different regions: a low load region and a high load region

    (Figure 1). As tissue is exposed to increasing displacements,

    stiffness is greatly increased and small changes in displacement

    induce large load responses.

    Coordinate System:a reference system used to define the posi-tion and orientation of a body in space or relative to another body.

    Motion Segment Unit (MSU):two adjacent vertebrae andinterconnecting disc and surrounding ligamentous tissues.

    Intervertebral Disc:an inner nucleus pulposus core surroundedby an anulus fibrosus tissue.

    NUCLEUS ARTHROPLASTY DESIGNS

    Various types of nucleus arthroplasty (NA) devices exist which

    can be categorized into three groups: Void fillers (NuCore, Spine

    Wave; BioDisc, CryoLife), kinematically-constrained mechanical

    devices (NUBAC, Pioneer; Regain, Biomet), and load sharing

    devices (HydraFlex, Raymedica, LLC; NeuDisc, Replication

    Medical; DASCOR, Disc Dynamics).1, 2, 3 Further, each device has

    an associated surgical procedure for preparing the nucleus site

    and placing the NA device that alters the physical properties of

    the treated spinal level. Hence, in addition to studying the biome-

    chanical properties and function of NA devices, one should also

    understand the impact that the various surgical techniques have

    on the stability and function of the treated disc. The influence of

    these techniques include facet disruption, bony removal, the sur-

    gical approach (anterior versus posterior), affect of an annular

    incision (which depressurizes the nucleus), and the amount of

    nucleus material removal: micro (associated with discectomies)

    or complete. All of these incremental surgical alterations intro-

    duce different degrees of instability to the spinal joint that must

    be compensated for by the NA device itself.

    HOW TO STUDY THE KINEMATICS

    OF NUCLEUS ARTHROPLASTY

    The nucleus pulposus is a pressurized gelatinous region consist-

    ing of proteoglycans (glycosaminoglycans), loose Type II colla-gen fibrils, mineral salts, and water that is surrounded by an

    anulus fibrosus structure. Together, the nucleus and anulus dis-

    play nonlinear material properties that influence the biomechanics

    of a spinal MSU. The goal of nucleus arthroplasty is to restore the

    compliant function of the disc and spinal MSU and prevent over-

    loading of the adjacent bony and soft tissue structures.

    The design rationale for nucleus arthroplasty differs from that of

    total disc arthroplasty. Total disc arthroplasty devices are non-

    compliant devices designed to restore motion to the degenerative

    disc. However, there is no consensus on where the IAR of the lum

    bar disc is during flexion/extension activities, with various loca-

    tions reported in the literature. Since most total disc replacement

    devices (TDR) are mechanical joints, if the IAR of the device does

    not coincide with that of the native spine an over constrained con-

    dition within the MSU may occur, leading to overloading of adja-

    cent structures or failure to provide adequate motion restoration.4

    The goal of nucleus arthroplasty is to restore the compliancy of the

    native intervertebral disc and recreate a flexible load bearing MSU

    STIFFNESS

    Displacement

    Load

    Low Load High Load

    18

    Figure 1Typical stiffness curve. The curve is generally nonlinear and has

    two regions: a low load region and a high load region.

    AS TISSUE IS EXPOSED TO INCREASING DISPLACEMENTS,STIFFNESS IS GREATLY INCREASED AND SMALL CHANGES

    IN DISPLACEMENT INDUCE LARGE LOAD RESPONSES.

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    system. A more flexible system serves to reduce the occurrence of

    an over constrained, non-mobile condition. Moreover, if the IAR

    of the MSU varies, the NA device may dynamically deform to

    accommodate the positional changes. An improved method for

    evaluating nucleus arthroplasty devices and their ability to restoresegment compliancy and motion is to impose a series of different

    kinematic motion profiles and measure their reaction loads. The

    different motion profiles force the implanted MSU to adjust to the

    prescribed kinematic pattern since the axes of rotation would be

    selected such that they are not co-centric with the disc center.

    Thus, the reactive forces needed to follow the prescribed motion

    represent how well the NA device performs. This chapter discusses

    a new approach for studyingin vitro, the capacity of nucleus

    arthroplasty to restore the kinematic of a spinal MSU in a human

    cadaveric model. This new testing methodology is a paradigm shift

    from the conventional displacement or load control methods.5

    CURRENT BIOMECHANICAL TESTING METHODS

    Limited biomechanical studies exist that evaluate NA devices.

    Although the conventional testing method of applying a pure or

    constant bending moment across the spinal construct and meas-

    uring the motion response to that loading condition can be

    done, there are significant limitations with this testing method-

    ology. Physiologically, the spine is not loaded with a constant

    bending moment, but rather experiences a moment distribution

    that varies across all spinal levels as you go down the spine.

    Although pure moment methods provide a standard approach

    for comparing different lumbar spinal devices and may be

    acceptable for testing fusion instrumentation,5 it is not well suited

    for studying any type of spinal device that permits motion and/or

    has a variable stiffness or modulus (i.e., is not a rigid metal struc-

    ture). Alternatively, eccentric compressive load test methods havebeen used to study both fusion and non-fusion spinal instrumen-

    tation.6 A compressive load is typically applied eccentric to the

    long axis of the spine causing the spine to flex or extend under

    a combined compressive load and bending moment. Using this

    testing method, a more physiologic response in the rotational

    involvement of each MSU occurs throughout the lumbar spine

    (Figure 2).7, 8, 9, 10 However, even though the eccentric loading

    method induces a physiologic rotational response across the

    intact lumbar spine, this method may not have the sensitivity to

    study the compliant properties and kinematic requirements of

    NA devices or different disc conditions. With either load controlor displacement control methods limited information is available

    about the loads acting on the disc and/or NA device, or the

    amount of load sharing that occurs between the NA and adjacent

    supporting structures as the MSU moves through a functional

    range of motion.

    NEW KINEMATIC TESTING PROTOCOL FOR

    STUDYING COMPLIANT STRUCTURES

    Human joints move under a state of minimum energy; they fol-

    low the path of least resistance. A new testing protocol is pro-

    posed that involves prescribing a known kinematic input to a

    spinal MSU and measuring the capacity of the intact MSU to

    accommodate the motion. The effects of changing the MSU

    properties via surgery (nucleotomy) or placement of a nucleus

    arthroplasty device, changes the effort or work required to move

    the altered spine condition through a prescribed motion path

    relative to the intact spine condition. The closer the loading

    mechanics of the altered spine are to the intact spine condition,

    the better the likelihood the device will restore the native prop-

    erties. Further, the kinematic path can be a simple rotation about

    a fixed point in space, or a coupled movement (displacement and

    rotation) along a path.

    Combined MSU Flexion/ExtensionRotation of the Lumbar Spine

    0 5 10 15 20

    L1-L2

    L2-L3

    L3-L4

    L4-L5

    L5-S1

    MotionS

    egmentUnitLevel

    Range of Rotation (Degrees)

    In Vitro

    In Vivo (4 sources*)

    Figure 2In VitroversusIn VivoMSU rotations of the lumbar spine. 6, 7, 8, 9

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    A custom-designed spine robot (Figure 3) was used that consisted

    of four programmable degrees of freedom that can each be inde-

    pendently operated under displacement control, force feedback

    control, and combinations thereof.11 Using the spine robot, the

    kinematic profile of an intact MSU can be programmed to follow

    a specified path or to rotate about a fixed point in space (Figure

    4). More advanced kinematic analyses are possible that map out

    the motion response to a given multi-directional force profile.

    A preliminary series of kinematic tests were performed on the

    spine robot to study the flexion and extension mechanics of three

    lumbar MSUs. Each specimen was tested in three different spine

    conditions: the intact harvested condition, post-nucleotomy con-

    dition, and post-implanted nucleus arthroplasty condition. The

    hydrated HydraFlex device (Raymedica, LLC) was used for the

    implanted condition. The orientation of each MSU in a neutral

    alignment was measured on a radiograph (Figure 5A) and used

    to establish the orientation of the MSU (Figure 5B) when mounted

    in the spine robot (Figure 5C). The MSUs were tested under three

    fixed points of rotation along the center line of the disc in the ante-

    rior-posterior (A-P) direction: 1) the mid point of the disc (C), 2)

    half way between the mid-point and anterior aspect of the disc

    (A), and 3) half way between the mid-point and posterior aspect o

    the disc (P) (Figure 5B). The MSUs were rotated about the desig-

    nated fixed points of rotation until a target bending moment of

    8Nm of flexionextension was reached or the shear or compres-

    sive forces exceeded 400N. For all test conditions, MSU axial force

    (+Fz net MSU tissue tension, -Fz net MSU tissue compres-sion), A-P shear force (+Fx net MSU posterior shear, -Fx net

    MSU anterior shear), sagittal rotation (+y flexion, -y extension)

    and sagittal bending moment were measured and compared using

    a one-way ANOVA (P=0.05).

    20

    Figure 3Programmable

    multi-axis

    Spine Robot.

    Figure 4Schematic of the

    Spine Robot used

    to move a verte-

    bral body about a

    fixed center of

    rotation relative

    to an adjacent

    vertebral body.

    Figure 5A) Radiograph showing neutral

    alignment of lumbar spine MSU.

    B) Maintenance of neutral align-

    ment of MSU in mounting potsand location of fixed points of

    rotation. C) Potted MSU specimen

    mounted in Spine Robot.

    A B C

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    21

    PRELIMINARY FINDINGS USING KINEMATIC

    TESTING PROTOCOL

    The mean values of the axial load, shear force, and MSU rotation

    for the three different fixed axes of rotation conditions were cal-

    culated and graphed (Figure 6). Using data for the harvestedspine condition, significant differences in the MSU rotation, axial

    force, and shear force values occurred between the three different

    points of rotation (P, C, A). MSU rotations were significantly dif-

    ferent between all points of rotation in flexion and extension,

    except between points C and P in flexion. The axial forces were

    significantly different between P versus A and P versus C in flex-

    ion. A similar trend occurred with the axial force values during

    extension but the differences were not significant (likely due to

    the small sample size). Shear forces were significantly different

    between points P versus A and P versus C during flexion. In

    extension the shear forces were significantly different between all

    points of rotation (P versus A, P versus C, and A versus C). In

    general, for the harvested intact MSU, when rotated in flexion

    about the mid-point of the disc (location C), MSU posterior soft

    tissue tension and resistance to posterior directed shear provided

    the stabilization effect. When the point of rotation was shifted

    posterior (location P), MSU anterior tissue compression and

    resistance to anterior directed shear provided the stabilization

    effect. Shifting the rotation point anterior (location A) had mini-

    mal effect on tissue stabilization response, but decreased seg-

    mental rotation compared to point C. The data demonstrates

    that the point about which a single MSU is rotated has a signifi-

    cant effect on the rotational range of motion as well as the soft

    tissue stabilization response.

    Compressive Force (Fz): Flexion

    -350

    -250

    -150

    -50

    50

    150

    250

    Harvested Nucleotomy Implant

    Spine Conditions

    For

    ce A

    CP

    Compressive Force (Fz): Extension

    -350

    -250

    -150

    -50

    50

    150

    250

    Harvested Nucleotomy Implant

    Spine Conditions

    For

    ce

    A

    CP

    Shear Force (Fx): Flexion

    -250

    -200-150

    -100

    -50

    0

    50

    100

    Harvested Nucleotomy Implant

    Spine Conditions

    Force

    A

    C

    P

    Shear Force (Fx): Extension

    -250

    -200-150

    -100

    -50

    0

    50

    100

    Harvested Nucleotomy Implant

    Spine Conditions

    A

    C

    P

    -8

    -3

    2

    7

    12

    Harvested Nucleotomy Implant

    Spine Conditions

    Degrees

    DegreesA

    C

    P

    -8

    -3

    2

    7

    12

    Harvested Nucleotomy Implant

    Spine Conditions

    A

    C

    P

    Rotation (0y) Flexion Rotation (0y) Extension

    Figure 6Comparison of the three fixed points of rotations. Mean values of the axial compressive load, A-P shear force, and MSU rotation

    during flexion and extension.

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    Compressive Force (Fz): Flexion

    -350

    -250

    -150

    -50

    50

    150

    250

    A C P

    Point of Rotation

    Harvested

    NucleotomyImplant

    Compressive Force (Fz): Extension

    -350

    -250

    -150

    -50

    50

    150

    250

    A C P

    Point of Rotation

    Harvested

    NucleotomyImplant

    Shear Force (Fx): Flexion

    -250

    -200

    -150

    -100

    -50

    0

    50

    100

    A C P

    Point of Rotation

    Harvested

    Nucleotomy

    Implant

    Shear Force (Fx): Extension

    -250

    -200

    -150

    -100

    -50

    0

    50

    100

    A C P

    Point of Rotation

    Harvested

    Nucleotomy

    Implant

    -8

    -6-4-202468

    101214

    A C P

    Point of Rotation

    Harvested

    Nucleotomy

    Implant

    -8

    -6-4-202468

    101214

    A C P

    Point of Rotation

    Harvested

    Nucleotomy

    ImplantDegrees

    Degrees

    Force

    Force

    For

    ce

    Force

    Rotation (0y) Flexion Rotation (0y) Extension

    22

    When comparing between the different spine conditions (har-

    vested, nucleotomy, and implanted) there was a trend in the data

    that demonstrated the nucleotomy increased the MSU rotation,

    altered the load response and appears to have more variation in

    response (e.g. less stable). Following implantation of the

    HydraFlex device, the MSU rotation returned to the harvested

    condition and had less variation compared to the denucleated

    condition (Figure 7). Alterations to the harvested MSU via the

    nucleotomy or NA implant tended to reduce/lessen the A-P

    shear forces, with the denucleated condition having a large varia-

    tion. At posterior point P, the denucleated and implanted states

    demonstrated less tissue compression. In extension, the implant

    condition tended to reduce the compressive response of the

    posterior elements at Point C and P.

    In general, for all test conditions, the rotational range of motion

    and the tissue loading response differed depending on the selected

    kinematic axis of rotation (point C, P or A). Denucleating the

    MSU led to more rotation and increased variation in the test data,

    indicative of a less stable/predictable response. After implantation

    of a hydrated HydraFlex device, variation was reduced and the

    response profile trended more towards the intact state for all test

    points. However, the small sample size and large variation noted

    in the denucleated specimens may have limited significance from

    occurring. Increasing the sample size should further confirm sig-

    nificant differences between the spine conditions or points of

    rotation, but the test method utilized demonstrates the impor-

    tance of understanding the constraints of a test setup and how

    results may vary as the constraints are changed.

    Figure 7Comparison of the three different spine conditions at specific points of rotations. Mean values of the axial compressive load, A-P shear

    force, and MSU rotation during flexion and extension.

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    23

    CONCLUSION

    As new technologies evolve, the methods utilized to analyze

    their biomechanical performance must evolve. The preliminary

    data from this study demonstrated that utilizing a robot to

    change the location of the MSU axis of rotation had an effect

    on the kinematic response of the harvested, denucleated and

    implanted MSU. Since thein vivoMSU axis of rotation is not

    believed to be a single point of rotation and since compliant

    nucleus replacement technologies do not have a prescribed axis

    of rotation, evaluating the kinematic response at multiple loca-

    tions of rotation may more effectively characterize the restora-

    tive effect of these technologies compared to more traditional

    test methods. Additional testing is being performed to furtherevaluate the utility of this method as well as evaluating the

    restorative effect of the implant on a path that matches the nat-

    ural motion of the MSU. Overall, this method looks very prom-

    ising for thoroughly understanding the kinematic response of

    Nucleus Arthroplasty technologies.

    ACKNOWLEDGMENT

    Elizabeth Sander and Nephi Zufelt for assistance with the bio-

    mechanical tests and data processing.

    REFERENCES

    1. Davis R. J., and Girardi F. (eds.) 2006. Nucleus Arthroplasty in Spinal Care:

    Book 1 Fundamentals. Minneapolis (MN): Raymedica, LLC.

    2. Di Martino A., Vaccaro A., Lee J., et al. Nucleus pulposus replacement: basic

    science and indications for clinical use. Spine. 2005;30 (suppl 16):16-22.

    3. Klara P., Ray C. Artificial nucleus replacement: clinical experience. Spine.

    2002;27:1374-77.

    4. DiAngelo DJ, Foley KT, Morrow B, Kiehm KJ, Gilmour L, The Effects of Over-

    Sizing of a Disc Prosthesis on Spine Biomechanics, Proceedings of the Sixth

    Annual Spine Arthroplasty Society Meeting, 2006.

    5. Goel VK, Wilder DG, Pope MH, and Edwards WT. Biomechanical testing of

    the spine. Load controlled versus displacement-controlled analysis. Spine

    1995;20:2354-7.

    6. DiAngelo DJ, Scifert JL, Kitchel S, Cornwall GB, McVay BJ, Bioabsorbable

    Anterior Lumbar Plate Fixation in Conjunction with Cage Assisted AnteriorInterbody Fusion, J Neurosurg. Nov;97(4 Suppl):447-55, 2002.

    7. Dvorak J., Panjabi M.M., Chang D.G., et al. Functional radiographic diag-

    nosis of the lumbar spine: flexion/extension and lateral bending. Spine 16

    (5):562-71, 1989.

    8. Pearcy M.J., Portek I., and Shepherd J.. Three-dimensional x-ray analysis of

    normal movement in the lumbar spine. Spine 9 (3):294, 1984.

    9. Froning E.C. and Frohman B. Motion of the lumbosacral spine after laminec-

    tomy and spine fusion: Correlation of motion with the result. Journal of Bone

    and Joint Surgery 50-A (5):897-918, 1968.

    10. White A.A. and Panjabi M.M. Clinical biomechanics of the spine,

    Philadelphia:J.B. Lippincott Co., 1990.

    11. Kelly BP, DiAngelo DJ, Foley KT, Design Of A Multi-Axis Programmable

    Spine Robot For The Study Of Multi-Body Spinal Biomechanics, Proceedingsof the 32th Annual Meeting of the Cervical Spine Research Society, Dec. 2004.

    AS NEW TECHNOLOGIES EVOLVE, THE METHODS UTILIZED TO ANALYZE THEIR

    BIOMECHANICAL PERFORMANCE MUST EVOLVE. THE PRELIMINARY DATA FROM THIS

    STUDY DEMONSTRATED THAT UTILIZING A ROBOT TO CHANGE THE LOCATION OF

    THE MSU AXIS OF ROTATION HAD AN EFFECT ON THE KINEMATIC RESPONSE OF

    THE HARVESTED, DENUCLEATED AND IMPLANTED MSU.

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    Chapter 10 Device Stiffness vs.Load-Sharing with NucleusArthroplastyDevices

    Brian P. Beaubien, BME, MS

    LEAD ENGINEERMidwest Orthopaedic Research Foundation

    and the Gustilo Medical Education Center

    Minneapolis, MN 55415

    Andrew L. Freeman, BME, MSLEAD ENGINEER

    Midwest Orthopaedic Research Foundation

    and the Gustilo Medical Education Center

    Minneapolis, MN 55415

    KEY POINTS

    The engineering term elastic modulus is used to characterize

    the uni-axial stress-strain response of linear-elastic materials.

    Biologic tissues and advanced polymeric biomaterials are typically

    not linear-elastic and the stress-strain relationship is complex.

    Physiologic interactions significantly impact the response char-

    acteristics of devices made from advanced biomaterials.

    Cadaver evaluation of polymeric devices demonstrated differ-

    ences in the compressive load transfer through a device based on

    bulk device properties (i.e. device modulus) as well as changes in

    the level of constraint provided by physiologic tissue.

    It is proposed that device design differences, as well as physiologic

    interactions, require characterization of a Nucleus Arthroplasty

    devices load-sharing properties in simulated use conditions,

    which provides a more thorough characterization of performance

    with increased clinical understanding.

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    INTRODUCTION

    The engineering term modulus is perhaps the most widelyused descriptor of the mechanical properties of a material.For the most basic conditions and materials, the modulus simply

    relates the amount of stress and strain seen in a material and is

    useful in predicting and describing the load-deformation behav-

    ior. However, with biological tissues and advanced biomaterials

    the stress-strain response is more complex and is dependent on

    the surrounding environment. This chapter aims to highlight

    important considerations in describing the stress-strain relation-

    ship of tissues and biomaterials and to discuss the effects of these

    properties, implant design and spine mechanics on thein vitro

    performance of the native nucleus pulposus, anulus fibrosus and

    Nucleus Arthroplasty (NA) devices.

    MATERIAL PROPERTIES:

    DEFINITIONS AND EXAMPLES

    The modulus of elasticity (E)

    The modulus of elasticity is used in Hookes Law (Robert

    Hooke, 1635-1703) to describe a linear relationship between

    stress and strain:

    In this equation, stress (, force per unit area) and strain (, elon-

    gation per unit length) are linearly related by the modulus of

    elasticity (E), which is often called the elastic modulus or Youngs

    Modulus (Thomas Young, 1773-1829). The elastic modulus is

    measured in the linear region of the stress-strain curve and represents the slope of the curve. Each material generally has a unique

    elastic modulus (Figure 1). In general, a low modulus equates to

    a softer, more easily deformable material.

    The elastic modulus provides a simple but powerful relationship

    between the stress and recoverable strain in materials as diverse

    as bone, rock and steel. However, this limited version of Hookes

    Law accurately describes only tension and compression behavior

    of linearly elastic materials in a uni-axial direction. It should be

    noted that modulus may be direction-dependent or anisotropic.

    This is important to consider for composite materials (e.g. car-

    bon fiber implants, reinforced concrete) as well as biologic tissues

    with internal structured arrangement (e.g. tendon, ligament).

    Tangent modulus

    For other materials, such as many used in NA devices, the rela-

    tionship between stress and strain is nonlinear. In other words, at

    small strains many polymers and biological tissues exhibit a rela-

    tively low elastic modulus, whereas the same materials exhibit a

    higher elastic modulus at higher strains (Figure 2). Two or more

    Figure 1Diagram of a simple tension test (left) and typical stress-strain curves and elastic modulus values for materials

    commonly encountered in orthopaedics.

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    26

    distinct regions may be observed, but the transition is generally

    gradual, and the stress-strain relationship can thus be described

    as nonlinear. For non-linear materials, the modulus is deter-

    mined by the slope of a line tangent to the stress-strain curve at a

    given point; this is called the tangent modulus. The tangent mod-ulus provides an intuitive measure of a materials non-linear

    stress-strain response, analogous to the elastic modulus.

    Viscoelasticity: Modulus dependence with time

    For biological tissues and advanced polymeric biomaterials, the

    stress-strain relationship is usually dependent upon the duration

    of loading. When these materials are exposed to a given stress,

    the resulting strain increases with time at a rate dependent upon

    the material; this phenomenon is known as creep. Similarly, an

    applied strain results in a steadily decreasing amount of stress

    over time (Figure 3), and this stress relaxation may or may not

    proceed at a rate proportional to creep.1 Materials exhibiting

    time-dependent material properties are considered viscoelastic.

    An important consideration in defining the elastic modulus

    for a viscoelastic material is the rate and duration of loading. The

    stress-strain-time relationship can be simplified from static tests

    by describing the apparent modulus upon immediate loading or

    deformation (instantaneous modulus) and after a long duration

    of loading or deformation (equilibrium modulus). It is important

    to recognize the various methods for calculating modulus and

    the potential variation in outcomes with viscoelastic materials.

    Fluid flow

    For biologic tissue and some biomaterials (e.g. hydrogels), fluid

    flow in and out of the material is important in determining the

    time-dependent properties of the material. For example, the load

    bearing capacity of the nucleus is attributed to its hydration

    level.2 However, as hydration levels change as a result of mechan-

    ical pressure, the permeability of the anulus and endplates allows

    an outflow of water, altering the mechanical response of the

    disc.3,4 Thus, the disc response to load is viscoelastic in nature.

    Figure 2Stress-strain curve for a typical soft tissue or nonlinearly-elastic biomaterial.

    Tangent lines for points A and B are indicated and the tangent modulus

    calculation is shown for Point B (EB).

    Figure 3Results for the stress-relaxation response of a porcine spinal ligament. An imme-

    diate strain step was applied and held (top) and the resulting stress response was

    observed (bottom). Stress-relaxation experiments are performed to explore the

    stress-strain-time relationship.

    FOR BIOLOGICAL TISSUES AND ADVANCED POLYMERIC

    BIOMATERIALS, THE STRESS-STRAIN RELATIONSHIP IS

    USUALLY DEPENDENT UPON THE DURATION OF LOADIN

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    Over a 24 hour period the balance of mechanical and osmotic

    pressure causes the disc volume and height to decrease such that

    a ~20mm decrease in height is seen over the entire length of the

    spine.5 In the healthy disc this change is balanced by swelling

    during the discs nightly intake of water while the spine isunloaded.6 Factors governing the rate of fluid flow include

    osmotic and physical pressure gradients, porosity, and the avail-

    ability and viscosity of the surrounding fluid. While inherent

    viscoelastic properties of a hydrogel or soft tissue and fluid-flow

    appear similar in the discs response to loading, the respective

    contributions of these variables to material properties are at least

    partially independent.7

    Radial deformations and the effect of constraint

    The three-dimensional behavior of a material is only partiallydescribed by the uni-axial stress-strain and time dependency.

    Equally important is the behavior of a material in a plane per-

    pendicular to the applied force, or stated otherwise, the radial

    direction. For the simple bar shown in Figure 1, the radial defor-

    mation can be described as a proportion of the axial strain as

    shown in the following relationship:

    where is a constant known as Poissons ratio. Poissons ratio is

    important not only in describing radial deformation, but also

    the amount of volume change exhibited by a material for a given

    load. The unit change in volume (V) of a cube of solid material

    can be described using the following equation:

    Note that for a Poissons ratio of 0.5, this change in volume is zero.

    Such a material is considered incompressible. Water is the most

    common example of a nearly incompressible material. Water can

    easily undergo a shape change, but imposing a volume change is

    nearly impossible if the water is constrained radially. Biological tis-

    sues, rubber and other polymeric materials are examples of materi-

    als that are often considered nearly incompressible with sufficient

    radial constraint.

    The apparent modulus of a water-containing material is depend-

    ent upon the rigidity and permeability of its physical constraints.

    If constrained radially in an undeformable and impermeable con-

    tainer, such a material would behave in a relatively incompressible

    manner and could thus withstand high loads with negligible

    deformation. If the constraining container were made permeable,

    then volume change of the same material would occur over time

    as water seeped from the material. In a permeable container, the

    material would appear to have a high modulus under rapid

    dynamic loading, but would have a relatively low apparent modu-

    lus after many hours of loading as the water content decreased

    with time. Stress or time-dependent deformation of the con-

    straining container would similarly result in decreased rigidity.

    This phenomenon is illustrated by the varying tangent modulus

    of a hydrogel material subjected to various constraints (Figure 4).

    Thus, material modulus is dependent on both the constraint

    rigidity and the constraint permeability for water-containing

    materials such as cartilage, the nucleus pulposus, the anulus fibro-