Table 1 Model parameters for the multi-layered SPH model, some adapted from58.
From: Modeling lamellar disruption within the aortic wall using a particle-based approach
Parameter | Symbol | Value |
|---|---|---|
Inner and outer homeostatic radii, medial and adventitial thickness | \({R}_{{\rm{in}}}\), \({R}_{{\rm{out}}}\) \({H}_{{\rm{M}}},{H}_{{\rm{A}}}\) | 646.8 μm, 687.0 μm, 28.4 μm, 11.8 μm |
Elastin material constant | \(\mu \) | 89.71 kPa |
Medial axial and diagonal collagen material parameters (in tension + and compression -) | \({c}_{1}^{k=1,3,4+}\), \(\,{c}_{2}^{k=1,3,4+}\), \(\,{\alpha }_{0}\) \({c}_{1}^{k=1,3,4-}\), \(\,{c}_{2}^{k=1,3,4-}\) | 234.9 kPa, 4.08, 29.91° 29.14 kPa, 4.08 |
Medial SMC + circumferential collagen material parameters (+and −) | \({c}_{1}^{k=2+}\), \(\,{c}_{2}^{k=2+}\) \({c}_{1}^{k=2-}\), \(\,{c}_{2}^{k=2-}\) | 261.4 kPa, 0.24 249.5 kPa, 0.15 |
Adventitial axial, circumferential, and diagonal collagen parameters (+ and −) | \({c}_{1}^{k=1,2,3,4+}\), \(\,{c}_{2}^{k=1,2,3,4+}\), \(\,{\alpha }_{0}\) \({c}_{1}^{k=1,2,3,4-}\), \(\,{c}_{2}^{k=1,2,3,4-}\) | 234.9 kPa, 4.08, 29.91° 29.14 kPa, 4.08 |
Medial elastin particle mass fractions | \({\varphi }_{{M}_{e}}^{e},{\varphi }_{{M}_{e}}^{{c}_{1,2,3,4}}\) | 1.0, 0 |
Medial intra-lamellar particle mass fractions | \({\varphi }_{{M}_{int}}^{e},{\varphi }_{{M}_{int}}^{{c}_{2}},{\varphi }_{{M}_{int}}^{{c}_{1,3,4}}\) | 0.1#, 0.84#, 0.06# |
Medial intra-lamellar particle collagen orientations | \({\beta }_{{M}_{int}}^{z},\,{\beta }_{{M}_{int}}^{d}\) | 0.056, 0.944 |
Adventitial particle mass fractions | \({\varphi }_{A}^{e},{\varphi }_{A}^{{c}_{1,2,3,4}}\) | 0.04, 0.96 |
Adventitial collagen content | \({\beta }_{A}^{z},\,{\beta }_{A}^{d},{\beta }_{A}^{\theta }\) | 0.067, 0.877, 0.056 |
Elastin deposition pre-stretch | \({G}_{\Gamma ,r}^{e},{G}_{\Gamma ,\theta }^{e},{G}_{\Gamma ,z}^{e}\) | 0.32, 1.90, 1.62 |
Medial SMC + circumferential collagen deposition pre-stretch | \({G}_{{M}_{int}}^{k=2}\) | 1.20 |
Other medial and adventitial collagen deposition pre-stretch | \({G}_{{M}_{int}}^{k=1,3,4},{G}_{A}^{k=1,2,3,4}\) | 1.25 |
Limiting circumferential stretches for active stress | \({\lambda }_{{\rm{\max }}}\) \({\lambda }_{{\rm{\min }}}\) | 1.1# 0.6# |
Applied stimulus of the active tone | \({T}_{\max }\) | 500# kPa |
Shear modulus of the GAG particles | \({\mu }^{{\rm{GAG}}}\) | 0.1 kPa |
