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

  • Lumbar Spine Fixation

  • Topology Optimization

  • Shape Optimization

  • Results and Conclusions

DETC 2003 - Design of an Interbody Fusion Implant


The Spinal Column

[http://www.spineuniverse.com]

DETC 2003 - Design of an Interbody Fusion Implant


Disc Problems

[http://www.spineuniverse.com]

DETC 2003 - Design of an Interbody Fusion Implant


PLIF – Posterior Lumbar Interbody Fusion

Fusion with spinal instrumentation

[Virginia Spine Institute]

DETC 2003 - Design of an Interbody Fusion Implant


ALIF – Anterior Lumbar Interbody Fusion

Interbody cage fusion

[http://www.spineuniverse.com]

DETC 2003 - Design of an Interbody Fusion Implant


New fusion procedure

Implant

Bone Graft

DETC 2003 - Design of an Interbody Fusion Implant


Design procedure

  • Topology optimization

  • Shape optimization

DETC 2003 - Design of an Interbody Fusion Implant


Topology optimization

Implant

Bone Graft

Design Domain

2064 design variables

[FEBM / GENESIS]

DETC 2003 - Design of an Interbody Fusion Implant


Vertebra model

Cancellous bone

Cortical bone

Cartilage

Design domain

[Goel and Weinstein, 2000]

DETC 2003 - Design of an Interbody Fusion Implant


Load conditions

  • Flexion15.0 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

Left & right

lateral bending

7.5 Nm

+

+

DETC 2003 - Design of an Interbody Fusion Implant


Flexion and extension

Flexion

15.0 Nm

Extension

5.0 Nm

+

+

DETC 2003 - Design of an Interbody Fusion Implant


The topology optimization problem

DETC 2003 - Design of an Interbody Fusion Implant


The topology optimization problem

DETC 2003 - Design of an Interbody Fusion Implant


Optimum topologies

DETC 2003 - Design of an Interbody Fusion Implant


Spline approximation

DETC 2003 - Design of an Interbody Fusion Implant


Domains and perturbation vectors

18 domains

18 design variables

DETC 2003 - Design of an Interbody Fusion Implant


The shape optimization problem

DETC 2003 - Design of an Interbody Fusion Implant


Shape optimization

Flexion

Left lateral bending

Extension

Right lateral bending

DETC 2003 - Design of an Interbody Fusion Implant


Shape optimization

DETC 2003 - Design of an Interbody Fusion Implant


Results

Designs

Stress analysis

DETC 2003 - Design of an Interbody Fusion Implant


Summary and Conclusions

  • 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


Shape optimization

Flexion

Extension

Lateral bending

DETC 2003 - Design of an Interbody Fusion Implant


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