Optimum Topology and Shape Design of an Interbody Fusion Implant for Lumbar Spine Fixation
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Optimum Topology and Shape Design of an Interbody Fusion Implant for Lumbar Spine Fixation Andrés Tovar, Shawn E. Gano, John E. Renaud and James J. Mason. University of Notre Dame Department of Aerospace and Mechanical Engineering

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Optimum Topology and Shape Design of an Interbody Fusion Implant for Lumbar Spine FixationAndrés Tovar, Shawn E. Gano, John E. Renaud and James J. Mason

University of Notre DameDepartment of Aerospace and Mechanical Engineering

29th Design Automation Conference – International 2003 DETCSeptember 2-6, 2003 – Chicago, IL

DETC 2003 - Design of an Interbody Fusion Implant


Content
Content Implant for Lumbar Spine Fixation

  • Lumbar Spine Fixation

  • Topology Optimization

  • Shape Optimization

  • Results and Conclusions

DETC 2003 - Design of an Interbody Fusion Implant


The spinal column
The Spinal Column Implant for Lumbar Spine Fixation

[http://www.spineuniverse.com]

DETC 2003 - Design of an Interbody Fusion Implant


Disc problems
Disc Problems Implant for Lumbar Spine Fixation

[http://www.spineuniverse.com]

DETC 2003 - Design of an Interbody Fusion Implant


Plif posterior lumbar interbody fusion
PLIF – Posterior Lumbar Interbody Fusion Implant for Lumbar Spine Fixation

Fusion with spinal instrumentation

[Virginia Spine Institute]

DETC 2003 - Design of an Interbody Fusion Implant


Alif anterior lumbar interbody fusion
ALIF – Anterior Lumbar Interbody Fusion Implant for Lumbar Spine Fixation

Interbody cage fusion

[http://www.spineuniverse.com]

DETC 2003 - Design of an Interbody Fusion Implant


New fusion procedure
New fusion procedure Implant for Lumbar Spine Fixation

Implant

Bone Graft

DETC 2003 - Design of an Interbody Fusion Implant


Design procedure
Design procedure Implant for Lumbar Spine Fixation

  • Topology optimization

  • Shape optimization

DETC 2003 - Design of an Interbody Fusion Implant


Topology optimization
Topology optimization Implant for Lumbar Spine Fixation

Implant

Bone Graft

Design Domain

2064 design variables

[FEBM / GENESIS]

DETC 2003 - Design of an Interbody Fusion Implant


Vertebra model
Vertebra model Implant for Lumbar Spine Fixation

Cancellous bone

Cortical bone

Cartilage

Design domain

[Goel and Weinstein, 2000]

DETC 2003 - Design of an Interbody Fusion Implant


Load conditions
Load conditions Implant for Lumbar Spine Fixation

  • Flexion 15.0 Nm

  • Extension 5.0 Nm

  • Lateral bending 7.5 Nm

  • Compressive preload 400 N

[Rohlmann et al, 2001]

DETC 2003 - Design of an Interbody Fusion Implant


Lateral bending Implant for Lumbar Spine Fixation

Left & right

lateral bending

7.5 Nm

+

+

DETC 2003 - Design of an Interbody Fusion Implant


Flexion and extension Implant for Lumbar Spine Fixation

Flexion

15.0 Nm

Extension

5.0 Nm

+

+

DETC 2003 - Design of an Interbody Fusion Implant


The topology optimization problem
The topology optimization problem Implant for Lumbar Spine Fixation

DETC 2003 - Design of an Interbody Fusion Implant


The topology optimization problem1
The topology optimization problem Implant for Lumbar Spine Fixation

DETC 2003 - Design of an Interbody Fusion Implant


Optimum topologies
Optimum topologies Implant for Lumbar Spine Fixation

DETC 2003 - Design of an Interbody Fusion Implant


Spline approximation
Spline approximation Implant for Lumbar Spine Fixation

DETC 2003 - Design of an Interbody Fusion Implant


Domains and perturbation vectors
Domains and perturbation vectors Implant for Lumbar Spine Fixation

18 domains

18 design variables

DETC 2003 - Design of an Interbody Fusion Implant


The shape optimization problem
The shape optimization problem Implant for Lumbar Spine Fixation

DETC 2003 - Design of an Interbody Fusion Implant


Shape optimization
Shape optimization Implant for Lumbar Spine Fixation

Flexion

Left lateral bending

Extension

Right lateral bending

DETC 2003 - Design of an Interbody Fusion Implant


Shape optimization1
Shape optimization Implant for Lumbar Spine Fixation

DETC 2003 - Design of an Interbody Fusion Implant


Results
Results Implant for Lumbar Spine Fixation

Designs

Stress analysis

DETC 2003 - Design of an Interbody Fusion Implant


Summary and conclusions
Summary and Conclusions Implant for Lumbar Spine Fixation

  • An optimum geometry for a new interbody fusion implant is obtained using topology and shape optimization.

  • The topology optimization minimizes strain energy subject to a mass fraction constraint.

  • The shape optimization minimizes mass subject to a maximum von Mises stress constraint (maximizes volume available for bone graft material).

  • A total volume fraction of 66% is available for the bone graft.

DETC 2003 - Design of an Interbody Fusion Implant


Thank you Implant for Lumbar Spine Fixation


Shape optimization2
Shape optimization Implant for Lumbar Spine Fixation

Flexion

Extension

Lateral bending

DETC 2003 - Design of an Interbody Fusion Implant


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