Efficient Sensitivity Based Reconstruction Technique to Accomplish Breast Hyperelastic Elastography
Table 11
The hypothetical and real hyperelastic parameters of the breast tumor estimated for the Mooney-Rivlin model from the imprecise displacement measurements, with 2%, 5%, and 10% errors, by the use of proposed tactics.
Hypothetical Hyperelastic Parameters estimated by the use of the iterative stress-strain relation-based algorithm
Hypothetical Hyperelastic Parameters
Hypothetical Hyperelastic Parameters
Hypothetical Hyperelastic Parameters
Displacement Error of 2%
Displacement Error of 5%
Displacement Error of 10%
(kPa)
9.90977910e+04
9.92857540e+04
9.96006152e+04
Error of (%)
0.9022
0.7142
0.3994
(Pa)
1.05936892e+04
7.9382924e+03
1.04180049e+04
4.9146920e+03
(Pa)
7.0947542e+03
1.13425870e+04
7.4619495e+03
1.76362097e+04
Error of (%)
5.9369
20.6171
4.1800
50.8531
Error of (%)
6.4160
70.1303
11.9236
1.645299e+02
(kPa)
9.90992665e+04
9.92811200e+04
9.91221342e+04
9.95989786e+04
Error of (%)
0.0015
0.0047
0.4804
0.0016
Real Hyperelastic Parameters estimated by the use of the iterative sensitivity-matrix based algorithm
Real Hyperelastic Parameters
Real Hyperelastic Parameters
Real Hyperelastic Parameters
Displacement Error of 2%
Displacement Error of 5%
Displacement Error of 10%
Iteration
First Iteration
Second Iteration
Second Iteration
First Iteration
Forth Iteration
3.0000e-19
5.0000e-19
10.0000e-19
2.0000e-18
2.0000e-18
(Pa)
1.00470535e+04
9.5997294e+03
9.9363293e+03
9.4346723e+03
0.98151514e+04
(Pa)
6.4888826e+03
7.0114736e+03
6.6044865e+03
6.8200699e+03
6.5820232e+03
Error of (%)
0.4705
4.0027
0.6367
5.6533
1.8485
Error of (%)
2.6716
5.1668
0.9377
2.2959
1.2746
estimates of real hyperelastic parameters have been achieved in the primary iterations by using the iterative sensitivity-matrix based algorithm as the result of determining appropriate regularization parameter even in the conditions where the errors of the estimates of hypothetical hyperelastic parameters were high.
