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FIGURE 13
Comparison of the theoretical and experimental desorption profiles: concentration
distribution of 3kDa dextran
versus
distance from the cartilage surface at time 3,600 s.
Concentration value is normalized by initial concentration that was homogeneous through the
thickness of explant at time 0.
To model the cartilage disk, we rewrite the governing equations in cylindrical co-
ordinates (not shown). Unfortunately, some necessary parameters of the system are
not mentioned in the text. Therefore, we take the value for aggregate modulus and
cartilage permeability from other source (see Table 1). We solve the system of equa-
tions for the following parameters:
mm
2
kPa
10
−6
mm
2
c
250
kPa
,
k
s
,
D
,
f
0.001
Hz
.
10
−6
H
A
=
=
2
⋅
=
=
15
⋅
⋅
Figure 13 shows the normalized dextran concentration pro¿ le inside the cartilage
disk after 3,600 s of desorption, as calculated using the model. Symbols on Figure 13
denote the results from Quinn et al. There is no indication of experimental errors in
this chapter. Nevertheless, it can be concluded that our model tends to underestimate
the effect of cyclic loading on desorption from cartilage.
7.6 CONCLUSION
The present study describes theoretically the solute transport through biological tissue
under cyclic loading with account of the solute binding to the extracellular matrix. The
model is based on the theory of mechanics of poroelastic materials. This computational
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