Data-Driven Phenotyping from Foot-Mounted IMU Waveforms: Elucidating Phenotype-Specific Fall Mechanisms
Abstract
1. Introduction
2. Materials and Methods
2.1. Dataset
2.2. Features
2.3. Clustering Method Development
2.3.1. Data Pre-Processing
2.3.2. Feature Extraction
2.3.3. Clustering Algorithm
2.3.4. Comparing Outputs
2.4. Cluster Analysis
2.5. Faller Classification Models
2.5.1. Random Forest
2.5.2. Extreme Gradient Boosting (XGBoost)
2.5.3. Decision Tree
2.5.4. Artificial Neural Network (ANN)
2.5.5. SHAP Interpretation
2.5.6. Feature-Importance Consensus Ranking
2.6. Verifying the Impact of Screening Using a Single Indicator TUG
3. Results
3.1. Clustering Method
3.2. Cluster Characteristics
3.3. Classification Model Performance and Importance
3.4. ROC Analysis of the Timed up and Go (TUG) Test
4. Discussion
4.1. Contribution of This Study
4.2. Different Key Factors Across Phenotypes
4.3. Validity of Phenotype-Specific TUG Thresholds
4.4. Limitations of This Study
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A
| Model | Parameters | High-Cadence | Cautious | Intermediate | Robust |
|---|---|---|---|---|---|
| Random Forest | Boostrap | FALSE | FALSE | FALSE | FALSE |
| Max_depth | None | None | None | None | |
| Max_features | Log2 | None | None | Sqrt | |
| Min_samples_leaf | 2 | 1 | 1 | 1 | |
| Min_samples_split | 2 | 5 | 2 | 5 | |
| N_estimators | 100 | 100 | 100 | 200 | |
| XGBoost | Colsample_bytree | 0.8 | 0.8 | 1 | 0.9 |
| Learning_rate | 0.1 | 0.01 | 0.1 | 0.2 | |
| Max_depth | 3 | 3 | 6 | 3 | |
| N_estimators | 200 | 300 | 100 | 100 | |
| Subsample | 1 | 0.8 | 1 | 1 | |
| Decision Tree | Criterion | Gini | Entropy | Gini | Gini |
| Max_depth | None | None | None | None | |
| Max_features | Sqrt | None | None | None | |
| Min_samples_leaf | 10 | 4 | 1 | 1 | |
| Min_samples_split | 2 | 15 | 20 | 2 | |
| Splitter | Random | Best | Best | Random | |
| ANN | Activation | Tanh | Relu | Tanh | Relu |
| Alpha | 0.0001 | 0.0001 | 0.01 | 0.0001j | |
| Hidden_layer_sizes | (100, 50) | (150, 75) | (50, 25) | (100, 50) | |
| Learning_rate_init | 0.01 | 0.01 | 0.1 | 0.1 | |
| Max_iter | 500 | 500 | 500 | 500 | |
| Network Structure | Input Layer | 25 | 25 | 25 | 25 |
| Hidden Layer 1 | 100 | 150 | 50 | 100 | |
| Hidden Layer 2 | 50 | 75 | 25 | 50 | |
| Hidden Layer 3 | 1 | 1 | 1 | 1 |

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| Feature | Description |
|---|---|
| Cadence [strides/min] | Number of strides per minute according to the time spent in walking the stride n. |
| Step Speed [m/s] | Average linear speed during the stride n. |
| Stride Length [m] | Length between the initial and end points of the stride n. It is calculated as the increment in the XY position (horizontal plane) between the initial and final points of the stride. |
| Clearance [m] | Elevation of the foot during the swing phase of the stride n. It is calculated as the maximum height that the foot reaches during swing phase. |
| Total Distance [m] | The total distance covered during a long free walk. |
| Total Time [s] | The total time spent in the free walk. |
| Total Strides | The total number of steps in the free walk. |
| Swing [% GCT] | Time percentage of the stride n during which the foot is in the Swing phase. It is calculated as the elapsed time between Toe-Off and Heel-Strike events. |
| Load [% GCT] | Time Percentage of the stride n during which the foot is in the Load phase. It is calculated as the elapsed time between the Heel-Strike event and Toe-Strike (TS). |
| Foot Flat [% GCT] | Percentage of the stride n during which the foot is in the Foot Flat phase, i.e., the foot is completely in contact with the ground, corresponds with central part of the stance phase. It is calculated as the elapsed time between Toe-Strike (TS) and Heel-Off (HO) events detected. |
| Push [% GCT] | Percentage of the stride n during which the foot is in the Push phase. It is calculated as the time elapsed from the Heel-Off (HO) until the Toe-Off occurs. |
| Stride Time [s] | Time spent to walk the stride n. It is calculated by the time elapsed between the beginning and the end events of a stride. |
| Toe-off Angle [deg] | Pitch angle of the foot in the Toe Off moment of the stride n. |
| Heel Strike Angle [deg] | Pitch angle of the foot in the Toe Off moment of the stride n. |
| Stride Time STD [s] | The standard deviation of stride time in trials. |
| Stride Length STD [m] | The standard deviation of stride time in trials. |
| Clearance STD [m] | The standard deviation of clearance in trials. |
| 3D Path [m] | Length of the 3D trajectory of the stride n. It is calculated as the cumulative three-dimensional displacement (XYZ) made during the stride. |
| 2D Path [m] | Length of the projection of the 3D trajectory of the stride n into the horizontal plane. It is calculated as the cumulative horizontal displacement (XY) made during the stride. |
| GDS | Global Deterioration Scale [21]. |
| Frailty Assessment | Fried’s frailty scale [22]. |
| Short FES-I | The Short Falls Efficacy Scale-International [23]. |
| SPPB Assessment | Short Physical Performance Battery [24]. |
| 4 m Gait Speed [m/s] | The walking speed in 4-meter walking test. |
| TUG time [s] | Time taken for the Timed Up and Go test. |
| Feature Extraction | PCA |
|---|---|
| Clustering algorithm | k-medoids++ |
| Number of clusters | 4 |
| Used features | Raw gait signals + body measurement data (height, age) |
| Silhouette coefficient | 0.198 |
| Davies Bouldin score | 1.08 |
| Cluster Balance 1 | 7 |
| Parameters | High-Cadence (n = 39) | Cautious (n = 34) | Intermediate (n = 40) | Robust (n = 33) | |
|---|---|---|---|---|---|
| Fall prevalence (%) | − | 56 | 68 | 48 | 27 |
| Step speed (m/s) | All | 0.84 ± 0.24 | 0.67 ± 0.22 | 0.85 ± 0.28 | 1.10 ± 0.31 |
| NF | 0.94 ± 0.23 * | 0.83 ± 0.25 * | 0.92 ± 0.25 | 1.20 ± 0.28 * | |
| F | 0.76 ± 0.21 | 0.59 ± 0.14 | 0.77 ± 0.29 | 0.83 ± 0.17 | |
| Stride length (m) | ALL | 0.87 ± 0.23 | 0.78 ± 0.19 | 0.95 ± 0.25 | 1.14 ± 0.22 |
| NF | 0.93 ± 0.20 | 0.90 ± 0.19 * | 1.03 ± 0.25 * | 1.21 ± 0.20 * | |
| F | 0.82 ± 0.23 | 0.73 ± 0.16 | 0.85 ± 0.21 | 0.95 ± 0.16 | |
| Cadence (steps/min) | ALL | 53.7 ± 4.55 | 46.5 ± 5.86 | 48.3 ± 6.34 | 51.9 ± 6.06 |
| NF | 55.7 ± 3.61 * | 50.5 ± 5.87 * | 48.2 ± 5.09 | 53.4 ± 5.79 * | |
| F | 52.1 ± 4.59 | 44.6 ± 4.81 | 48.5 ± 7.48 | 47.7 ± 4.62 | |
| SPPB assessment | ALL | 8.49 ± 2.43 | 7.00 ± 3.14 | 9.15 ± 2.23 | 10.1 ± 1.85 |
| NF | 9.06 ± 2.34 | 8.91 ± 3.58 * | 10.1 ± 1.85 * | 10.4 ± 1.91 | |
| F | 8.05 ± 2.40 | 6.09 ± 2.43 | 8.11 ± 2.15 | 9.44 ± 1.50 | |
| TUG time (s) | ALL | 15.9 ± 5.58 | 19.8 ± 9.84 | 13.0 ± 5.04 | 11.1 ± 4.19 |
| NF | 14.2 ± 3.81 | 16.2 ± 12.6 * | 11.2 ± 4.24 * | 9.44 ± 2.63 * | |
| F | 17.2 ± 6.36 | 21.7 ± 7.36 | 15.4 ± 5.01 | 15.6 ± 4.33 | |
| FES-I | ALL | 11.2 ± 4.57 | 11.4 ± 6.17 | 9.86 ± 3.99 | 9.58 ± 4.01 |
| NF | 8.50 ± 2.50 * | 9.88 ± 4.34 | 8.84 ± 3.63 * | 7.64 ± 1.11 * | |
| F | 13.5 ± 4.68 | 12.1 ± 6.68 | 11.0 ± 4.06 | 14.3 ± 4.52 |
| Phenotypes | Random Forest | XGBoost | Decision Tree | ANN | |
|---|---|---|---|---|---|
| High-cadence | Accuracy | 0.74 (0.51, 0.96) | 0.71 (0.52, 0.91) | 0.61 (0.47, 0.76) | 0.74 (0.58, 0.89) |
| Precision | 0.79 (0.56, 1.00) | 0.73 (0.51, 0.95) | 0.60 (0.48, 0.72) | 0.72 (0.59, 0.85) | |
| Recall | 0.80 (0.57, 1.00) | 0.80 (0.57, 1.00) | 1.00 (1.00, 1.00) | 0.85 (0.70, 1.00) | |
| F1-score | 0.77 (0.60, 0.94) | 0.75 (0.57, 0.94) | 0.75 (0.65, 0.84) | 0.78 (0.64, 0.92) | |
| Cautious | Accuracy | 0.89 (0.71, 1.00) | 0.86 (0.70, 1.00) | 0.83 (0.62, 1.00) | 0.80 (0.71, 0.88) |
| Precision | 0.90 (0.75, 1.00) | 0.84 (0.67, 1.00) | 0.82 (0.62, 1.00) | 0.84 (0.67, 1.00) | |
| Recall | 0.96 (0.86, 1.00) | 1.00 (1.00, 1.00) | 1.00 (1.00, 1.00) | 0.91 (0.77, 1.00) | |
| F1-score | 0.93 (0.81, 1.00) | 0.91 (0.81, 1.00) | 0.89 (0.76, 1.00) | 0.86 (0.81, 0.91) | |
| Intermediate | Accuracy | 0.78 (0.57, 0.98) | 0.73 (0.46, 0.99) | 0.75 (0.49, 1.00) | 0.75 (0.53, 0.97) |
| Precision | 0.82 (0.54, 1.00) | 0.81 (0.50, 1.00) | 0.80 (0.49, 1.00) | 0.75 (0.49, 1.00) | |
| Recall | 0.80 (0.57, 1.00) | 0.75 (0.41, 1.00) | 0.75 (0.47, 1.00) | 0.80 (0.57, 1.00) | |
| F1-score | 0.77 (0.60, 0.95) | 0.71 (0.44, 0.98) | 0.74 (0.51, 0.98) | 0.76 (0.56, 0.95) | |
| Robust | Accuracy | 0.84 (0.71, 0.97) | 0.90 (0.81, 1.00) | 0.91 (0.82, 1.00) | 0.79 (0.57, 1.00) |
| Precision | 0.73 (0.25, 1.00) | 0.73 (0.25, 1.00) | 0.80 (0.30, 1.00) | 0.65 (0.28, 1.00) | |
| Recall | 0.60 (0.14, 1.00) | 0.70 (0.20, 1.00) | 0.60 (0.14, 1.00) | 1.00 (1.00, 1.00) | |
| F1-score | 0.63 (0.21, 1.00) | 0.69 (0.24, 1.00) | 0.67 (0.21, 1.00) | 0.75 (0.48, 1.00) |
| Phenotypes | Features | Random Forest | XGBoost | Decision Tree | ANN | Borda Overall Score |
|---|---|---|---|---|---|---|
| High-cadence | Short FES-I | 1 | 1 | 14 | 1 | 62.10 |
| Cadence | 3 | 8 | 1 | 10 | 56.96 | |
| Stride time | 2 | 19 | 2 | 3 | 54.40 | |
| Cautious | 4 m Gait speed | 1 | 1 | 1 | 2 | 83.37 |
| Load | 14.5 | 7 | 2 | 3 | 64.65 | |
| Swing | 14.5 | 3 | 14.5 | 1 | 59.31 | |
| Intermediate | Push | 2 | 2 | 2 | 6 | 69.00 |
| 4 m Gait speed | 1 | 1 | 1 | 10 | 68.25 | |
| Stride time (STD) | 6 | 7 | 14 | 3 | 55.53 | |
| Robust | Stride time (STD) | 3 | 1 | 15.5 | 2 | 70.53 |
| Total strides | 4 | 8 | 2 | 9 | 70.10 | |
| Short FES-I | 1 | 2 | 1 | 23 | 67.90 |
| Phenotypes | 13.50 s Cutoff | Customized | |
|---|---|---|---|
| High-cadence | Threshold [s] | 13.50 | 11.95 |
| Precision | 0.67 | 0.65 | |
| Recall | 0.7 | 0.75 | |
| F1 score | 0.68 | 0.70 | |
| Accuracy | 0.64 | 0.64 | |
| Cautious | Threshold [s] | 13.50 | 12.79 |
| Precision | 0.83 | 0.84 | |
| Recall | 0.79 | 0.84 | |
| F1 score | 0.81 | 0.84 | |
| Accuracy | 0.76 | 0.79 | |
| Intermediate | Threshold [s] | 13.50 | 14.00 |
| Precision | 0.67 | 0.75 | |
| Recall | 0.67 | 0.60 | |
| F1 score | 0.67 | 0.67 | |
| Accuracy | 0.71 | 0.74 | |
| Robust | Threshold [s] | 13.50 | 12.00 |
| Precision | 0.75 | 0.58 | |
| Recall | 0.67 | 0.78 | |
| F1 score | 0.71 | 0.67 | |
| Accuracy | 0.85 | 0.79 |
| Shumway-Cook et al. [10] | Our Study Using the GSTRIDE Database [15] | ||
|---|---|---|---|
| Definition of Faller | Elderly people who have fallen two or more times within the past six months | Elderly people who have fallen at least once within the past year | |
| TUG time average (s) | NF: 8.4 ± 1.7 F: 22.2 ± 9.3 | High-cadence | NF: 14.2 ± 3.81 F: 17.2 ± 6.36 |
| Cautious | NF: 16.2 ± 12.6 F: 21.7 ± 7.36 | ||
| Intermediate | NF: 11.2 ± 4.24 F: 15.4 ± 5.01 | ||
| Robust | NF: 9.44 ± 2.63 F: 15.6 ± 4.33 | ||
| TUG time range (s) | NF: 6.4–12.6 F: 10.3–39.2 | High-cadence | NF: 10.3–22.2 F: 9.59–35.0 |
| Intermediate | NF: 5.26–50.0 F: 9.78–36.0 | ||
| Cautious | NF: 5.79–23.5 F: 7.74–25.9 | ||
| Robust | NF: 6.00–16.5 F: 9.30–23.0 | ||
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Sato, R.; Watanabe, T. Data-Driven Phenotyping from Foot-Mounted IMU Waveforms: Elucidating Phenotype-Specific Fall Mechanisms. Sensors 2025, 25, 7503. https://doi.org/10.3390/s25247503
Sato R, Watanabe T. Data-Driven Phenotyping from Foot-Mounted IMU Waveforms: Elucidating Phenotype-Specific Fall Mechanisms. Sensors. 2025; 25(24):7503. https://doi.org/10.3390/s25247503
Chicago/Turabian StyleSato, Ryusei, and Takashi Watanabe. 2025. "Data-Driven Phenotyping from Foot-Mounted IMU Waveforms: Elucidating Phenotype-Specific Fall Mechanisms" Sensors 25, no. 24: 7503. https://doi.org/10.3390/s25247503
APA StyleSato, R., & Watanabe, T. (2025). Data-Driven Phenotyping from Foot-Mounted IMU Waveforms: Elucidating Phenotype-Specific Fall Mechanisms. Sensors, 25(24), 7503. https://doi.org/10.3390/s25247503
