Introduction
Related works
Methods
Mechanical characterisation of human brain tissue
Generative model
Hyperelastic meta-model
Hyperelastic finite element method (FEM) simulation
Evaluation
Implementation
Patient | Deformation state | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Rest state | Single tissue | Multiple tissue | |||||||||||
Ventricles | Resection | Ventricles | Resection | Ventricles | Resection | ||||||||
Case | Temporal lobe | RMSE | RMSE | mu \({\mathcal {G}}{\mathcal {P}}_t\) | RMSE | mu \({\mathcal {G}}{\mathcal {P}}_t\) | RMSE | \(\mu _{gm}\) SD | \(\mu _{wm}\) SD | RMSE | \(\mu _{gm}\) SD | \(\mu _{wm}\) SD | RMSE |
0529 | left | 0.94 | 5.86 | 2746 | 0.92 | 90 | 5.36 | 1317 | 1195 | 0.92 | 525 | 309 | 5.24 |
lin-gm | hyp-nh | 0.5 | 2.0 | − 2.0 | − 2.0 | ||||||||
0614 | left | 1.58 | 4.69 | 519 | 1.49 | 142 | 3.77 | 2299 | 440 | 1.51 | 628 | 309 | 3.70 |
hyp-wm | hyp-nh | 2.0 | − 1.0 | − 1.5 | − 2.0 | ||||||||
0660 | left | 1.41 | 5.83 | 440 | 1.07 | 257 | 5.15 | 525 | 309 | 1.04 | 525 | 309 | 4.98 |
hyp-wm | lin-nh | − 2.0 | − 2.0 | − 2.0 | − 2.0 | ||||||||
0685 | left | 1.25 | 5.57 | 754 | 1.06 | 142 | 4.53 | 1317 | 365 | 1.05 | 525 | 309 | 4.63 |
hyp-gm | hyp-nh | 0.5 | − 1.5 | − 2.0 | − 2.0 | ||||||||
0535 | right | 1.61 | 6.42 | 628 | 1.44 | 79 | 4.16 | 754 | 440 | 1.42 | 525 | 309 | 4.94 |
hyp-gm | lin-nh | − 1.0 | − 1.0 | − 2.0 | − 2.0 | ||||||||
0555 | right | 1.33 | 7.43 | 465 | 1.11 | 79 | 5.25 | 912 | 309 | 1.07 | 628 | 309 | 5.98 |
lin-nh | lin-nh | − 0.5 | − 2.0 | − 1.5 | − 2.0 | ||||||||
0603 | right | 1.14 | 5.92 | 1317 | 1.06 | 79 | 4.53 | 2299 | 610 | 1.08 | 525 | 309 | 4.75 |
hyp-gm | lin-nh | 2.0 | 0.0 | − 2.0 | − 2.0 | ||||||||
0684 | right | 1.95 | 8.77 | 353 | 1.62 | 79 | 5.69 | 525 | 309 | 1.61 | 525 | 309 | 6.91 |
hyp-nh | lin-nh | − 2.0 | − 2.0 | − 2.0 | − 2.0 | ||||||||
Median | 1.37 | 5.89 | 574 | 1.09 | 85 | 4.84 | 1115 | 403 | 1.08 | 525 | 309 | 4.96 | |
MAD | 0.22 | 0.42 | 157 | 0.19 | 6 | 0.47 | 475 | 94 | 0.1 | 0 | 0 | 0.31 |