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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

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

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3. IN VIVO MEASURED LOAD COMPONENTS<br />

A direct in vivo measurement of all load components is not yet possible. Intradiscal<br />

pressure has been measured by Nachemson [1, 2], Wilke et al. [3, 4], Sato et al. [5] and<br />

others. It is a measure for the overall spinal load and thus allows a comparison of spinal<br />

loads for different activities. Intradiscal pressure has been measured for various<br />

activities. The magnitude varied between 0.1 MPa for a lying supine position to 2.3<br />

MPa for lifting 20 kg with a rounded back. Standing caused a typical value of 0.5 MPa.<br />

The loads on internal spinal fixation devices have been measured in 10 patients by<br />

Rohlmann et al. [6, 7]. A comparison of the peak intradiscal pressures measured by<br />

Wilke et al. [3] and the peak flexion bending moments in the spinal fixation devices –<br />

related each time to the corresponding value for standing – showed for many activities a<br />

very good agreement [8].<br />

Recently, Rohlmann et al. [9-11] also measured the loads on a vertebral body<br />

replacement in 5 patients. In these patients, the resultant force on the implant during<br />

walking was nearly twice the value of that for standing. This value increased to 225%<br />

when walking down stairs and even to 265% when walking up stairs. They found that<br />

the spinal loads can be strongly reduced by leaning against a backrest while sitting, by<br />

supporting the upper body with the arms, e.g. during rising from a chair, by placing the<br />

hands on the armrest or thighs during sitting, as well as by carrying a weight in a<br />

backpack or laterally instead of in front of the body.<br />

4. ANALYTICAL MODELS FOR SPINAL LOAD ESTIMATION<br />

Spinal loads can also be estimated by using analytical models. Schultz and Andersen<br />

[12] for example used a model that had 10 single-equivalent muscles. Since the number<br />

of unknowns exceeded the number of equations, their model led to a statically<br />

indeterminate problem. Therefore, they used an optimization method to calculate the<br />

forces. They calculated a spinal force of more than 1000 N when a weight of 40 N was<br />

held at a distance of 40 cm from the spine.<br />

A detailed spine model using commercially available software (AnyBody Technology,<br />

Aalborg, DK) was recently introduced by De Zee et al. [13]. Han et al. [14] added short<br />

segmental muscles, lumbar ligaments and disc stiffnesses to that model and performed a<br />

validation study. They predicted the highest muscle forces in the m. longissimus (146<br />

N) for flexion, in the m. rectus abdominis (363 N) for extension, and in the m. psoas<br />

major (144 N and 81 N) for lateral bending and axial rotation.<br />

5. FOLLOWER LOAD<br />

In in vitro experiments, ligamentous spinal specimens are unstable and buckle under<br />

vertical compression forces [15, 16]. A specimen which is loaded in such a way that the<br />

compressive load path passes the centres of rotation is able to carry high loads without<br />

buckling [17-19]. It is assumed that the follower load simulates the upper body weight<br />

and the stabilizing effect of the in vivo acting muscle forces [16]. The follower load path<br />

should be optimized in finite element models. Otherwise, flexion angles of up to 10°

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