2. Methodology
Our objective was to distinguish individuals with LBP from healthy CTRLs using biomechanical strain signals captured by MT.
Figure 1 provides an overview of the full modeling pipeline, from raw sensor data acquisition to final classification. Briefly, six MTs were placed in a 3 × 2 grid on the lumbar spine to record changes in strain over time during different functional movements. For each participant and movement type, these multichannel time-series were aggregated according to the sensor configuration being evaluated, producing a representative movement-specific strain signal.
Biomechanical features were then extracted from this signal to summarize strain magnitude, variability, loading rate, smoothness, and return-phase temporal dynamics. The statistical and kinematic features captured global markers of the full movement signal, whereas the movement-aware temporal features additionally captured peak-based and return-phase dynamics. These participant-level feature vectors were used to train a logistic regression (LR) [
37] and random forest (RF) [
38] ensemble under an LPO protocol, where each fold was trained on 18 participants and tested on one pair (CTRL and LBP), resulting in 90-10 splits and 100 folds with all possible combinations. The predictions from LR and RF were combined via soft voting to classify participants as LBP or CTRL.
2.1. MT Data
The dataset consisted of 20 participants (10 LBP, 10 CTRL), each of whom performed 19 distinct movements (see
Appendix A for details of each movement), with multiple repetitions per movement. Inclusion criteria for the participants were defined as the following: (1) age between 18 and 65, (2) either no history of LBP in the last year or presence of chronic LBP (as defined by the NIH Research Task Force [
39]), (3) ability to follow movement instructions in English or Spanish, and (4) capacity to perform simple trunk movements and functional activities like walking. Demographic characteristics and group composition of the cohort are summarized in
Appendix B. Additional clinical characterization of the LBP group is summarized in
Table 1 and
Appendix C. Briefly, LBP duration ranged from 6 months to more than 5 years, and participants reported variable LBP frequency over the past 6 months, ranging from less than half the days to daily symptoms. Baseline pain (Standing) on the day of testing was also recorded using a 0–10 Numeric Pain Rating Scale (NPRS). These pain-related variables were reported only for cohort characterization and were not used as model inputs.
Six MTs were placed bilaterally along the lumbar spine in a 3 × 2 configuration which spans from the thoracolumbar junction to the lumbosacral junction (T12–S1), where T12 is the last thoracic vertebra, L1–L5 are the lumbar vertebrae, and S1 is the first sacral vertebra: the top MTs 1 and 2 were placed across T12 to L1 and L1 to L2 junctions, the middle MTs 3 and 4 were placed across the L2 to L3 and L3 to L4, and the bottom MTs 5 and 6 were placed across L4 to L5 and L5 to S1 (the placement is depicted on the left side of
Figure 1). In addition, all kinesiology tapes were identical in size, and the piezoresistive sensing regions were manufactured at the same relative location on each tape. All sensors were placed by the same investigator (YV), who was trained by a physical therapist and biomechanist (SPG) to identify the relevant anatomical landmarks and place sensors. Sensor placement was standardized across participants. For lateral placement, sensors were placed just lateral to the spinous processes over the bulk of the erector spinae muscle bellies. For vertical placement, the investigator first palpated the L4 spinous process and positioned the bottom edge of the middle MT level just above L4 spinous process, spanning the L3–L4 intervertebral junction. The upper and lower MTs were then placed above and below the middle MT, directly adjacent to them with minimal vertical separation to avoid overlap.
Each MT measured local skin strain via changes in electrical resistance and was sampled at 60 Hz. MTs were fabricated following the procedure from [
31] for multi-walled carbon nanotubes, which were shown to exceed the performance of graphene nanosheets from earlier studies in terms of consistency of signal stability. Raw resistance signals were normalized as
where
denotes the strain signal,
is the resistance at time
t (in Ohms,
), and
denotes the baseline resistance recorded during a neutral (standing or sitting) posture prior to movement onset. Baseline resistance was measured prior to each movement type.
Figure 2 provides representative visualizations of normalized resistance for the six MTs during the forward flexion movement across representative participants. The curves illustrate participant-specific variation in strain magnitude and temporal patterns, including primary-phase (baseline to peak strain) and return-phase (peak strain to baseline) behavior during movements.
All movements were repeated three times, except for continuous tasks such as driving (5 min), walking (35 feet), and stair climbing (10 stairs) (
Appendix A). For activity-based movements, a repetition included both the task execution and the return component when applicable; for example, placing a tablet in a cabinet and retrieving it, picking up a suitcase and returning it, or screwing and unscrewing a lightbulb. For features computed over the full movement sequence, signals were processed across all repetitions without segmenting or averaging features separately per repetition. For features defined over the final repetition, the repetition boundary was identified using near-baseline strain levels before and after the peak strain time. Movement velocity or execution timing was not controlled for in the current study. Participants were allowed to move at a self-selected speed across movement tasks. This was an intentional methodological decision to ensure tasks were self-paced rather than externally paced from a motor control perspective and that individuals performed tasks as they typically would in a real-world environment. This also allowed for temporal variability characteristics to be explored with sensor-based measures. If a metronome or other form of pacing were used to control movement velocity or timing of tasks, it would result in an externally paced motor control task and alter movement parameters.
For each movement, signals from multiple MTs were combined into a single representative strain signal
. We systematically evaluated multiple sensor aggregation strategies, including single MT, selected MTs based on their locations (top, middle, bottom, left, or right sensors), and all six MTs. We also evaluated two fusion methods: feature-level and signal-level averaging. In signal-level averaging, selected raw MT signals were averaged first and features were then extracted from the aggregated signal. In feature-level averaging, features were extracted separately for each selected MT channel and then averaged across channels. We performed aggregation to reduce signal-level noise while preserving the dominant biomechanical signal associated with the task. We compared alternative sensor fusion strategies in
Section 3.4 where we show that signal-level averaging outperforms feature-level averaging. Movements with missing sensor channels due to transient detachment were handled on a per-movement basis, which ensured that participants were retained while excluding unreliable measurements. All subsequent feature extraction and modeling were performed on
.
2.2. Feature Engineering
We defined two complementary feature sets from
to compare the utility of different feature representations for classification, designed to capture discriminative biomechanical structure. Precise feature definitions, names, and interpretations are provided in
Table 2.
Feature Set 1 (FS1) consists of commonly used global descriptors. We refer to these features as global because they are computed over the full movement duration without segmentation and summarize overall movement magnitude, variability, excursion, loading rate, and smoothness across the entire signal for a participant and movement type, rather than characterizing specific movement sub-phases. Specifically, this set includes peak strain (maximum absolute strain magnitude), strain variability (standard deviation of strain), Range of Motion (max–min strain excursion), max loading rate (maximum absolute first derivative), and smoothness (a jerk-based smoothness metric). These descriptors are motivated by prior biomechanics and movement-sensing studies showing that LBP is associated with altered range of motion, movement variability, trunk coordination, and movement smoothness [
10,
12,
40,
41]. These features capture coarse differences across participants and provide strong baseline representations for comparison with the movement-aware temporal features in Feature Set 2 (FS2).
FS2 is designed to probe finer-grained temporal structure that is not captured by global statistics alone. FS2 partially overlaps with FS1, retaining three features (peak strain, strain variability, and max loading rate) and extending with peak-based and return-focused features designed to analyze structure in the return phase of the movements. Specifically, FS2 includes post-peak trend (linear slope of strain following the peak), time near peak (duration spent above 95% of peak strain), post-peak irregularity (variability of gradient changes during return), time to half max (time required to reach 50% strain reduction), and end-task stability (strain variability during the final 25% of return). As shown in later analyses, these additional features were critical for resolving specific failure cases that persisted under FS1 alone.
All time-based features were computed relative to the peak strain time . MT signals were sampled at 60 Hz, so each sample corresponds to s, and temporal quantities are expressed as the number of samples following divided by 60. was defined over the repetition sequence and was identified either globally across all repetitions or within a task-specific repetition window (e.g., final repetition), depending on the feature and its intended interpretation.
2.3. Modeling and Evaluation Protocol
We formulated the task as binary classification between LBP and CTRL participants. For each movement, feature vectors were computed independently per participant. To ensure robust evaluation under the small sample size, we used an LPO cross-validation strategy. In each fold, one LBP and one CTRL participant were held out for testing, while the remaining 18 participants were used for training, which resulted in 100 folds. For our small cohort that was balanced with 10 participants with LBP and 10 matched CTRLs, we chose LPO rather than random 80/20 splits because LPO exhaustively evaluates all LBP–CTRL held-out pairs, ensuring that every participant was evaluated in the test set while reducing dependence on a particular random split and avoiding any data leakage from sample splits. Prior methodological work has shown that LPO can provide nearly unbiased AUC estimates with low variance in pairwise classification settings [
42,
43].
We employed two complementary classifiers—an LR model to capture linear separability and an RF to model nonlinear interactions—forming a simple model ensemble, with final predictions obtained via soft voting by averaging posterior probabilities. The RF model was trained with 200 trees, a maximum depth of 3, and minimum leaf and split sizes of 4, encouraging shallow decision structures and reducing overfitting. We also used an -regularized logistic regression with , optimized with the limited-memory Broyden–Fletcher–Goldfarb–Shanno (L-BFGS) solver and a maximum of 2000 iterations. A random state of 42 was used.
For completeness, we evaluated several alternative classifiers on the most discriminative configuration (forward flexion, MTs 4 and 6, FS2). The LR + RF ensemble had the highest performance in our setting (see
Appendix D for classifier selection details). As a baseline, we also evaluated pretrained TSFMs (Chronos, MOMENT) [
35,
36] to assess whether general-purpose representations captured discriminative structure in MT strain signals.
Classification thresholds were selected using Youden’s J statistic on the training data within each fold, maximizing the trade-off between sensitivity and specificity and ensuring fair accuracy estimation [
44]. Rather than pooling data across movements, we trained movement-specific classifiers. This design choice allowed us to identify which functional movements can best discriminate between the two groups.
Performance was evaluated using two complementary LPO accuracy measures. First, pooled LPO prediction-level accuracy was computed across all held-out predictions. Because each of the 100 LPO folds contained one held-out CTRL and one held-out LBP participant, this provided 200 potential held-out predictions, and accuracy was computed as the number of correctly classified held-out predictions divided by 200. Second, participant-level aggregated LPO accuracy was computed by averaging each participant’s held-out predicted probabilities across the folds in which that participant appeared as a test subject, yielding one aggregated probability score per participant. The final participant-level prediction was assigned as LBP if this aggregated probability score was greater than or equal to the classification threshold selected by Youden’s J statistic, and CTRL otherwise.
Misclassified participants reported in the results refer to participants whose final participant-level aggregated prediction was assigned the incorrect group label. Across movements, pooled LPO accuracy and participant-level aggregated LPO accuracy were strongly correlated (Pearson , Spearman ), indicating that the two summaries ranked movement discriminability similarly.
All fold-sensitive procedures including feature normalization, classifier training, and threshold selection were nested within the cross-validation loop. Hyperparameters were fixed a priori. The feature sets FS1 and FS2 were defined prior to any analysis.
4. Discussion
This exploratory study evaluated whether MT strain signals encode discriminative structure for distinguishing individuals with LBP from healthy CTRL participants. We view the present study as identifying (i) which movements, sensors, and features were most discriminative, (ii) methodological best practices for MT-based classification including sensor fusion strategies, modeling, and feature set design, (iii) evidence that current TSFMs did not transfer to this biomechanical regime, and (iv) a reproducible evaluation framework for future MT studies.
From a clinical perspective, the discriminative power of forward flexion was consistent with existing LBP biomechanics literature. Prior studies comparing clinical populations with LBP to CTRLs have reported group differences in movement-based parameters during forward flexion and return from forward flexion [
12,
26,
47,
48,
49,
50]. The return phase of forward flexion, captured by our temporal features such as post-peak trend, time near peak, and time to half max, may reflect clinically relevant differences in trunk movement behavior. These findings were broadly consistent with prior work showing that pain and LBP can be associated with altered motor control, although the specific presentation of these changes may vary across individuals and tasks [
9,
11].
The finding that pretrained TSFMs did not meaningfully capture LBP-relevant structure in MT strain data was consistent with a broader pattern of limitations observed across time-series models, large language models, and vision-language models on structured temporal data across various tasks and evaluation settings [
51,
52,
53,
54,
55,
56,
57].
The findings also have direct implications for integrating MT sensing into clinical practice. Rather than requiring all sensor locations and movement tasks, our results suggest that a reduced sensor configuration and movement set may still provide useful biomechanical information while simplifying data collection. As the importance of sensors and movements varies across classification scenarios, the optimal configuration should be application-specific and validated in larger cohorts, improving the practicality and feasibility of MT-based assessments while preserving informative biomechanical readouts.
The primary limitation of this study was the sample size of 20 participants, which constrained statistical power for generalization. We note that MT is a novel custom-fabricated sensor for which no external datasets exist, and larger human-subject collection was constrained by hardware availability, and the need for supervised laboratory acquisition. This study is explicitly framed as an exploratory study: its goal was to determine whether MT signals encode discriminative structure for LBP, and to identify which movements, sensors, and features warrant prioritization in larger-scale validation and not to produce population-level performance estimates. In addition, because our goal was not to validate an existing movement-based clinical classification system, we did not use clinical measures for participant selection or to validate our MT measures. Further, future work should evaluate whether MT strain measurements can identify movement-based LBP subgroups. Such studies will require a heterogeneous sample of people with LBP to capture variability in movement characteristics and MT strain measures. We also acknowledge that people without LBP can display movement variability, and thus it is important to identify features that distinguish people with LBP from CTRLs despite this variability. These processes may be useful in future studies that include larger prospective cohorts for diagnostic purposes.
A cohort of 20 participants is consistent with, and in many cases larger than, analogous published studies of novel wearable sensing technologies at equivalent stages of development. Representative examples include: gait analysis using triboelectric smart socks (
) [
58], wearable fall detection (
) [
59], multimodal wearable sensing for dementia detection (
) [
60], wearable strain sensor measurement of respiratory rate (
) [
61], and recent exploratory works studying immersive rehabilitation with wearable sensors (
) [
62,
63]. In each of these cases, small cohort sizes were accepted as appropriate for the exploratory scope of the study.
However, the small number of participants and the feature-to-participant ratio may raise concerns regarding overfitting, but we take a rigorous approach to mitigate this. The design features of the present study provided methodological safeguards against overfitting and chance-level results within the current study. First, each participant contributed data across 19 functional movements and 6 sensor channels, resulting in a structurally rich dataset with multiple task repetitions for each movement. Second, holding out a test set that the model never sees during training is a standard approach to address overfitting; our LPO protocol ensures that the model was tested on unseen data and, by exhausting all LBP–CTRL participant pairs, ensures that performance estimates were not driven by a single held-out split. Third, the finding that forward flexion achieved high accuracy while several other movements collapse to chance level constitutes an internal negative control. If results reflected idiosyncratic subject-level patterns rather than genuine biomechanical structure, we would not expect such selective movement-dependent discrimination. This collapse to chance level also argues against trivial participant-level confounds. Fourth, bootstrap stability analysis (
Appendix I) showed that discriminative features remain consistently significant as participants are progressively added. Fifth, a 1000-run label-shuffled permutation test confirmed that the observed
accuracy for forward flexion is not a chance artifact (
), with no permuted run reaching this level. Finally, 18 out of 20 participants were correctly classified in more than
of their test folds, arguing against results being driven by a small number of outliers.
The validity of LPO cross-validation in small-
N settings is supported by prior methodological work. Prior work [
42,
43] has demonstrated that LPO produces nearly unbiased AUC estimates with low variance compared to alternatives such as
k-fold cross-validation and showed that LPO estimators remain reliable in small-sample regimes where other estimators become unstable. Importantly, LPO ensures that every participant pair was evaluated as a test set, minimizing evaluation variance given the available cohort.
We believe the scale of this study was appropriate for its stated goals. We acknowledge that the absence of an independent validation cohort remains a key limitation of this exploratory study and validation in independent, larger cohorts is essential before clinical deployment, and we frame all conclusions accordingly. As an exploratory analysis and because no prior MT-based LBP effect size estimates were available for an a priori power analysis, we quantified the magnitude of group-level separation for forward flexion features using standardized effect sizes computed between participants with LBP and CTRLs. Post-peak trend exhibited the largest separation (Cohen’s
), followed by time near peak (
) [
64]. Based on these observed effects, a future validation study would require approximately
participants per group to achieve 80% power to detect the median observed effect at
. To account for potential effect size attenuation in independent cohorts, we conservatively recommend
participants per group for definitive validation. Therefore, the present cohort is underpowered for definitive clinical conclusions, and the classification results should be interpreted only as exploratory evidence of discriminative MT signal structure rather than validated diagnostic performance.
The LBP cohort in this exploratory study was defined using NIH Research Task Force criteria, but detailed clinical phenotyping was limited. Although pain-related descriptors collected during the movement protocol are reported in
Appendix C, additional variables characterizing their clinical presentation such as disability measures, psychosocial measures, medication use, and physical activity level were not collected. Because biomechanical behavior may differ substantially across clinical profiles, the present results should not be interpreted as representative of the population of all patients with LBP. Larger studies with more variability and richer clinical characterization are needed to evaluate whether MT-based discriminative patterns vary across clinical presentations.
The participant age range was broad (18–65 years), which could introduce age-related variability in movement characteristics. Age was not included as a covariate in the classification models because of the small cohort size and the risk of overfitting. However, each participant in the CTRL group was age-matched (±5 years) to a participant in the LBP group (CTRL age: years; LBP age: years), which reduces the likelihood that age alone explains the observed group differences.