Table 5 Mean values \(\mu ^{vMmax}_{x}\) and standard deviations \(\sigma ^\mathrm{vMmax}_x\) with \(x \in \{\mathrm{stress}, \mathrm{strain} \}\) for maximum von Mises stress and maximum von Mises strain in the aortic wall computed from Monte Carlo sampling with 10000 identical (per patient) samples. The corresponding parametric configurations are drawn from patient-specific probability distributions
| Â | Value | Patient 1 | Patient 2 | Patient 3 |
|---|---|---|---|---|
MC FOM | \(\mu ^{\mathrm {vMmax}}_{\mathrm {stress}} \ [\mathrm {kPa}] \) | 205.57 | 276.84 | 302.49 |
\(\sigma ^{\mathrm {vMmax}}_{\mathrm {stress}}\ [\mathrm {kPa}]\) | 44.950 | 65.926 | 71.761 | |
\(\mu ^{\mathrm {vMmax}}_{\mathrm {strain}}\ [-]\) | 0.17320 | 0.19404 | 0.19070 | |
\(\sigma ^{\mathrm {vMmax}}_{\mathrm {strain}}\ [-]\) | 0.038272 | 0.052792 | 0.049465 | |
MC DHROM | \(\mu ^{\mathrm {vMmax}}_{\mathrm {stress}}\ [\mathrm {kPa}]\) | 205.80 | 277.13 | 301.85 |
\(\sigma ^{\mathrm {vMmax}}_{\mathrm {stress}}\ [\mathrm {kPa}]\) | 45.0518 | 65.9210 | 71.8432 | |
\(\mu ^{\mathrm {vMmax}}_{\mathrm {strain}}\ [-]\) | 0.17361 | 0.19413 | 0.18946 | |
\(\sigma ^{\mathrm {vMmax}}_{\mathrm {strain}}\ [-]\) | 0.038483 | 0.052680 | 0.049128 |