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. 2023 Apr 24;23(9):4229. doi: 10.3390/s23094229

Table 5.

Model selection and IMU sensor position for estimating joint force/torque.

Reference Number of Sensors Position Frequency Activation Tasks Optimal Model Accuracy
(Stetter et al., 2019) [62] 2 Right thigh and shank 1500 Hz Walking, jumping KJF ANN Pearson correlation coefficients: vertical KJF: 0.60–0.94,
P KJF: 0.64–0.90,
M-L KJF: 0.25–0.60.
(Lim et al., 2020) [16] 1 CoM 100 Hz Walking Joint torques ANN The approximate errors:
hip joint torques: 16.7 Nm,
knee joint torques: 11.4 Nm,
ankle joint torques: 15.3 Nm.
(Jiang et al., 2019) [65] 2 Shank, foot 100 Hz Walking Ankle joint power RF Intra-subject test: R = 0.98,
Inter-subject test: R = 0.92.
(Derie et al., 2020) [66] 2 Antero-medial side of both tibias 1000 Hz Running Maximal vertical loading rate XGB Subject-dependent: mean absolute percentage error: 6.08%,
Subject-independent: mean absolute percentage error: 11.09%.
(Lee and Park, 2020) [9] 1 Sacrum 148 Hz Walking Joint torques ANN NRMSE:
joint torques: 11.4–24.1%
(Stetter et al., 2020) [4] 2 Right thigh and shank 1500 Hz Walking, running,
45° cutting maneuver
KFM, KAM ANN KFM: R = 0.74 ± 0.36,
KAM: R = 0.39 ± 0.32.
(De Brabandere et al., 2020) [5] 1 Left hip 50 Hz Walking, walking upstairs/downstairs, sitting down and standing up, forward lunge and side lunging, standing on one leg, squatting on one leg Hip moment Regularized linear regression Mean absolute error:
left hip: 29%, right hip: 36%.
(Dorschky et al., 2020) [10] 4 Lower back, the right thigh, shank and foot 1000 Hz Walking, running Joint moments CNN Pearson correlation coefficients: hip moment: 0.94,
knee moment:0.975,
ankle moment: 0.981.
(Mundt et al., 2020) [11] 5 Pelvis, thigh, shank Virtual IMU data Walking Joint moments MLP The mean correlation of the models:
r-kinetic-measured: 0.95,
r-kinetic-combined: 0.95.
(Barua et al., 2021) [12] 2 Foot, shank 100 Hz Walking Ankle joint power LSTM R > 81.25%
CNN R > 83.09%
CNN-LSTM R > 83.19%
(Chaaban et al., 2021) [60] 4 acc,
4 gre
Thigh, shank 1125 Hz Jumping Knee extension moment, sagittal plane knee power absorption Linear regression RMSE:
knee extension moment:
0.028 ± 0.0002 BW·HT,
sagittal plane knee power:
0.27 ± 0.003 BW·HT.
4 acc RMSE:
knee extension moment:
0.031 ± 0.0002 BW·HT
sagittal plane knee power:
0.32 ± 0.003 BW·HT
(Mundt et al., 2021) [13] 5 Pelvis, thigh, shank 100 Hz Walking Joint moments MLP,
LSTM,
CNN
Mean model correlation coefficients:
joint moment > 0.939.
(Molinaro et al., 2022) [61] 3 Trunk, thigh, and hip Virtual IMU data Walking Hip moment TCN Average RMSE:
steady-state ambulation:
0.131 ± 0.018 Nm/kg,
mode transitions:
0.152 ± 0.027 Nm/kg.
(Hossain et al., 2023) [63] 3 Thigh, shank, and foot 100 Hz Tread-mill walking, level-ground walking, ramp ascent/descent, and
stair ascent/descent
Hip, knee, and ankle joint moment, 3D GRFs Hybrid model based on 1D, 2D convolutional, GRU, and dense layers with the application of bagging techniques PCC: 0.923 ± 0.030
8 Trunk, pelvis, and both thighs, shanks 100 Hz Walking KFM, KAM, and 3D GRFs PCC: 0.884 ± 0.029

KJF: Knee joint force, KFM: Knee flexion moment, KAM: Knee adduction moment, NRMSE: Normalized root mean square error, RMSE: Root mean square error, TCN: Temporal convolutional network.