| |
Intima
|
Media
|
Adventitia
|
|---|
|
\({\mathbf{G}}^{k}\)
|
\({\widehat{\lambda }}_{{\mathbb{X}}}^{{\mathrm{i}}}\)
|
\({\widehat{\lambda }}_{{\mathbb{Z}}}^{{\mathrm{i}}}\)
|
\({\widehat{\lambda }}_{{\mathbb{X}}}^{{\mathrm{m}}}\)
|
\({\widehat{\lambda }}_{{\mathbb{Z}}}^{{\mathrm{m}}}\)
|
\({\widehat{\lambda }}_{{\mathbb{X}}}^{{\mathrm{a}}}\)
|
\({\widehat{\lambda }}_{{\mathbb{Z}}}^{{\mathrm{a}}}\)
|
|---|
|
I
|
1.04
|
1.02
|
1.04
|
0.99
|
0.94
|
1.02
|
|
II
|
1.02
|
1.05
|
1.03
|
0.97
|
0.98
|
0.99
|
|
III
|
1.03
|
1.00
|
1.01
|
0.99
|
0.97
|
1.02
|
|
Mean \(\pm\) SD
|
1.03 \(\pm\) 0.01
|
1.03 \(\pm\) 0.02
|
1.03 \(\pm\) 0.01
|
0.98 \(\pm\) 0.01
|
0.96 \(\pm\) 0.01
|
1.01 \(\pm\) 0.01
|
|
\({\mathbf{F}}_{1}\)
|
\({\Lambda }_{\Theta }^{{\mathrm{i}}}\)
|
\({\Lambda }_{Z}^{{\mathrm{i}}}\)
|
\({\Lambda }_{\Theta }^{{\mathrm{m}}}\)
|
\({\Lambda }_{Z}^{{\mathrm{m}}}\)
|
\({\Lambda }_{\Theta }^{{\mathrm{a}}}\)
|
\({\Lambda }_{Z}^{{\mathrm{a}}}\)
|
|---|
|
I
|
0.89
|
1.00
|
0.98
|
1.00
|
1.09
|
1.00
|
|
II
|
0.92
|
1.00
|
0.98
|
1.00
|
1.07
|
1.00
|
|
III
|
0.92
|
1.00
|
0.98
|
1.00
|
1.07
|
1.00
|
|
Mean \(\pm\) SD
|
0.91 \(\pm\) 0.01
|
1.00 \(\pm\) 0.00
|
0.98 \(\pm\) 0.00
|
1.00 \(\pm\) 0.00
|
1.07 \(\pm\) 0.01
|
1.00 \(\pm\) 0.00
|
|
\({\mathbf{F}}_{{\mathrm{residual}}, k}={\mathbf{F}}_{1}{\mathbf{G}}^{k}\)
|
\({\widehat{\lambda }}_{{\mathbb{X}}}^{{\mathrm{i}}}{\Lambda }_{\Theta }^{{\mathrm{i}}}\)
|
\({{\widehat{\lambda }}_{{\mathbb{Z}}}^{{\mathrm{i}}}\Lambda }_{Z}^{{\mathrm{i}}}\)
|
\({\widehat{\lambda }}_{{\mathbb{X}}}^{{\mathrm{m}}}{\Lambda }_{\Theta }^{{\mathrm{m}}}\)
|
\({{\widehat{\lambda }}_{{\mathbb{Z}}}^{{\mathrm{m}}}\Lambda }_{Z}^{{\mathrm{m}}}\)
|
\({{\widehat{\lambda }}_{{\mathbb{X}}}^{{\mathrm{a}}}\Lambda }_{\Theta }^{{\mathrm{a}}}\)
|
\({{\widehat{\lambda }}_{{\mathbb{Z}}}^{{\mathrm{a}}}\Lambda }_{Z}^{{\mathrm{a}}}\)
|
|---|
|
I
|
0.92
|
1.02
|
1.02
|
0.99
|
1.03
|
1.02
|
|
II
|
0.93
|
1.06
|
1.01
|
0.98
|
1.04
|
1.00
|
|
III
|
0.95
|
1.00
|
1.00
|
0.99
|
1.03
|
1.02
|
|
Mean \(\pm\) SD
|
0.93 \(\pm\) 0.01
|
1.03 \(\pm\) 0.02
|
1.01 \(\pm\) 0.01
|
0.98 \(\pm\) 0.00
|
1.04 \(\pm\) 0.00
|
1.01 \(\pm\) 0.01
|
- \({\mathbf{F}}_{{\mathrm{residual}}, k}\) defines the residual stretches experienced by each layer in the unload cylindrical vessel configuration (\({\kappa }_{\mathrm{unloaded}}\))
