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ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

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surfaces on the 3D distal extension model (Fig. 4 in blue) and were assumed to be<br />

rigidly fixed.<br />

A 5mm distraction of the VEPTR is realized approximately every 6 months to keep<br />

up with the child’s growth. Through an experiment in our laboratory made by an<br />

experimented surgeon (co-author), a force of approximately 300N was measured to<br />

achieve a 5mm distraction of the VEPTR. This result was in agreement with Teli et<br />

al. [8]. Indeed, Teli et al. [8] measured every 1mm until a limit of 12mm, the in vivo<br />

force generated by a surgeon distracting a growing rod system (Tab. 1). The mean load<br />

measured for a 5mm distraction was 308N. Then finite element analysis was carried out<br />

for a static compressive force of 700N which represents the distraction force with a<br />

safety factor. To modulate a growing rod construct using the VEPTR we simulated<br />

the proximal and distal spinal anchors as a set of pedicle screws rather and simulated in<br />

the standard proximal VEPTR rib cradle, and distal laminar hook. The screws are<br />

represented by two surfaces on the 3D proximal extension model for the application of<br />

the force (Fig. 4 in red). Contacts within the VEPTR were modeled using the<br />

augmented Lagrange algorithm with face to face contact element and divided into three<br />

zones: contact between the distal and proximal extension (Fig. 5a); contact between<br />

distal extension and the distraction lock (Fig. 5b) and contact between the proximal<br />

extension and the distraction lock (Fig. 5c). These contacts were modeled as<br />

frictionless.<br />

a) b)<br />

Fig. 3 – a) Illustration of the mesh b) Bilinear isotropic hardening curve of titanium alloy<br />

Distraction<br />

(mm)<br />

Mean load<br />

(N)<br />

Fig. 4 – Boundary condition: fixed support (in blue) and application of force (in red)<br />

1 2 3 4 5 6 7 8 9 10 11 12<br />

133 203 247 282 308 354 364 354 402 430 404 485<br />

Tab. 1 – Force (N) – distraction value (mm) (Teli et al. [8])

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