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PhD Fekete - SZIE version - 2.2 - Szent István Egyetem

PhD Fekete - SZIE version - 2.2 - Szent István Egyetem

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Materials and Methods<br />

All the functions and standard deviation have been summarized in Table 3.6.<br />

FUNCTION OR CONSTANT C1 C2 SD r 2<br />

λ 1 (α) [-] 0.492 0.0024 0.15 0.65<br />

λ 3 (α) [-] 0.86 -0.0022 0.22 0.63<br />

β(α) [°] 26.56 -0.3861 14 0.95<br />

ø(α) [-] 0.567 -0.0026 0.081 0.735<br />

λ t [-] 0.11 0 0.018 -<br />

λ p [-] 0.1475 0 0.043 -<br />

λ f [-] 0.164 0 0.028 -<br />

Table 3.6. Functions* and constants of the analytical-kinetical model<br />

* The following equation is used: f(α) = C1 + C2· α<br />

Where r 2 is the linear correlation coefficient between the original and modelled data values<br />

regarding the λ 1 (α), λ 3 (α), β(α) and ø(α) functions and SD denotes the standard deviation. The<br />

standard deviation and the correlation coefficient are considered normal compared to other<br />

biomechanical measurements [Abe et al., 2010, Eames et al., 1999, Fukagawa et al., 2012].<br />

3.4.8. Experimental results<br />

The λ 1 (α) or λ 3 (α) functions give a view about the horizontal movement of the center of gravity<br />

line under squatting motion. By substituting any α into the λ functions, the intersection of the<br />

center of gravity line with the femur and tibia is obtained (Figure 3.23 and Figure 3.24).<br />

λ 1 [-]<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

Average λ1 function<br />

Standard deviation<br />

Experimental data of λ1<br />

Flexion angle [°]<br />

0<br />

40 60 80 100 120 140 160<br />

Figure 3.23. Dimensionless λ 1 functions<br />

– 97 –

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