A Novel ML-Powered Nanomembrane Sensor for Smart Monitoring of Pollutants in Industrial Wastewater
Abstract
1. Introduction
- To secure and maintain discharge permits by evidencing adherence to environmental standards;
- To proactively assess effluent quality, reducing the risk of non-compliance penalties during unannounced regulatory inspections.
- Establish a new analysis methodology by exploiting the nanomembrane electrochemical properties;
- Evaluate performance in terms of sensitivity and selectivity via experimental comparison with commercial electrode sensors and conventional chemical analysis techniques;
- Evaluate performance in terms of sensitivity and selectivity under varying operational conditions for real-world field applications.
2. Sensors and Methods
2.1. Electrode Sensors and Conventional Methods
2.2. Nanosensor and Non-Conventional Method
- is the normalized nanomembrane impedance module at a given frequency and at time , expressed in percentage;
- is the absolute nanomembrane impedance module at a given frequency and at time ;
- is the baseline nanomembrane impedance module at frequency , calculated as the average value in a specific time window before the drop.
- represents the nanomembrane Spread Factor at time after the drop;
- is the absolute nanomembrane impedance module at time after drop, where maximum, minimum and average values are evaluated over all frequencies.
3. Experimental Setup and Preliminary Results
3.1. Test Setup
- CV: A potential sweep from −1 V to +1 V was applied twice using a triangular waveform. The potential increased by 0.01 V at each measurement, with a scan rate of 0.05 V/s. Voltage, anodic, and cathodic currents were extracted at the second sweep for analysis, for a total of 80 s each test.
- CA: A potential step of −0.05 V, consistent with the CV results, was applied. The resulting current was recorded over 3 min, yielding 1800 data points per SPE.
- EIS: A sinusoidal forcing potential of 0.01 V was applied, in “time scan” mode. Measurements were performed over a total duration of 15 min per SPE, with 20 complete frequency sweeps logarithmically spaced between 20 Hz and 1 MHz, for a total of 35 frequencies.
3.2. Experimental Setup
3.3. Preliminary Outputs
4. Linear Model and Machine-Learning Approach
4.1. Linear Model Approach
4.1.1. Model Configuration
- is the unknown concentration;
- and are the linear model coefficients;
- is the synthetic parameter.
- For CV, the area under the current-voltage curve was used. This was calculated in MATLAB by integrating the entire curve, representing the total charge transferred during the redox reaction, which correlates directly with the analyte concentration [53].
- For EIS on electrode sensors, the chosen parameter was the difference between the mean values of the minimum peaks in the Nyquist diagrams for each concentration. This metric represents the charge transfer resistance (), which is inversely proportional to analyte concentration, as widely demonstrated in previous studies [70,73,74].
- For nanomembranes, EIS time-domain analysis, the response at 1 MHz was selected as the representative synthetic parameter. This value was computed as the average of the normalized signal over a 180-s window, starting 10 s after the initial impedance drop. The choice of this high-frequency component is justified by the observations discussed in Figure 6, which highlighted its high sensitivity to concentration changes. Additionally, the selected empirical times are entirely consistent with the considerations regarding signal drift and post-drop stabilization presented in Section 3.
4.1.2. Model Test
4.2. Machine-Learning Approach
- CV features consisted of both voltage and current at each excitation level;
- CA included the full current–time profile;
- EIS for nanomembranes in the time domain included 15 normalized frequency responses and a spread factor (see Equations (6) and (7)), extracted from the first 180 s following pollutant addition (excluding the initial 10 s to ensure a minimum settling time). The baseline was defined as the average of the first 5 min to guarantee sensor stability. The choice of the 3-min window reflects the fact that the most informative signal dynamics occur immediately after pollutant addition. At the same time, longer acquisition periods may introduce drift caused by external disturbances (e.g., evaporation or environmental contaminants) not directly related to the interaction with the target molecules. If one had trained the model with all available data, including the drift, it would have been trained on potentially erroneous data, so 3 min is an optimal balance between volume and stability of data.
- Cubic SVM. A support vector machine with a third-degree polynomial kernel. The normalization of the data was enabled, and the kernel scaling together with the box constraint from which the support vectors derive were automatically optimized by the toolbox (the software uses a heuristic procedure to select the parameters).
- Subspace k-NN. An ensemble of k-nearest neighbors learners trained on selected feature subspaces. The number of learners and the subspace dimensions were determined by the toolbox optimization procedure, while Euclidean distance was used as the similarity metric.
- Efficient Logistic Regression. The regularization strength was adjusted automatically, ensuring an appropriate trade-off between bias and variance. The Auto setting sets lambda equal to 1/n, where n is the number of observations in the training sample. The solver used was SGD for efficient logistic regression. While the regularization strength (lambda) (or the number of in-fold observations, if using cross-validation).
- Kernel Naive Bayes. A probabilistic classifier using Gaussian kernel density estimation. Bandwidth parameters for the kernel were optimized through the toolbox’s built-in procedure.
- SVM is a supervised max-margin model with associated learning algorithms that analyze data by finding the optimal hyperplane that maximizes the margin between classes;
- KNN assigns classes based on the closest training samples, using different metrics;
- Logistic Regression models class probabilities using a sigmoid function; ELR is a computationally efficient variant implemented in MATLAB;
- KNB combines kernel density estimation with Bayes’ theorem, offering robustness in small datasets and good classification accuracy.
- CV does not lend itself well to classification, as all tested algorithms yielded poor performance. Only the k-Nearest Bayesian (KNB) classifier achieved a moderate average accuracy level; however, even in this case, the classification accuracy for the 0.1 mM class remained below 50%.
- CA clearly emerges as the most robust technique, consistently delivering outstanding results across nearly all algorithms. With the sole exception of the Support Vector Machine (SVM), all models achieved an average accuracy exceeding 99%, with class-wise accuracies surpassing 98% across all valid algorithms.
- EIS on electrode sensors proves to be the most challenging technique, as anticipated from the preliminary analysis in Section 3. None of the tested algorithms demonstrated satisfactory performance in this context.
- EIS on nanomembranes, by contrast, exhibited good average classification performance—above 60% accuracy—with all algorithms except SVM. Nonetheless, certain classes failed to exceed 50% accuracy when classified using KNN and ELR. However, KNB yielded exceptional results: each class was accurately identified, achieving 100% accuracy in all but the 1 mM class, which still reached over 75% accuracy. The overall average KNB accuracy exceeded 90%.
4.3. Sensitivity Performance Evaluation over Selectivity
- ML significantly improves the performance of nanomembrane-based EIS over linear modeling;
- Only the KNB algorithm provides acceptable classification accuracy for nanomembranes.
5. Extensive Nanomembranes Performance Analysis with ML Approach
5.1. Test Duration: Dataset Size
- A rapid, real-time response for pollutant detection, feasible within a few seconds;
- A more detailed, offline quantification analysis, with cloud-based training performed within minutes after detection.
5.2. Noise Analysis
6. Conclusions
- Validation on real-world water samples, including complex industrial and environmental matrices;
- Chemical functionalization of nanomembranes to enhance selectivity toward specific analytes;
- Extension of the study to additional pollutants and concentration ranges, with a more refined investigation between 0.1–1 mM and 1–10 mM;
- Adoption of ML-based regression algorithms, rather than classifiers, to evaluate intermediate values within the newly tested concentration ranges;
- Cost estimation and a large-scale integration plan.
Author Contributions
Funding
Conflicts of Interest
Abbreviations
WWTP | Wastewater Treatment Plant |
EIS | Electrochemical Impedance Spectroscopy |
ML | Machine Learning |
SVM | Support Vector Machine |
KNN | k-Nearest Neighbors |
LR | Logistic Regression |
BQ | Benzoquinone |
CV | Cyclic Voltammetry |
CA | Chronoamperometry |
SPE | Screen Printed Electrode |
PPF | Pyrolysed Photoresist Films |
SEM | Scanning Electron Microscopy |
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Technology | Real-Time Capability | Portability | Limitations |
---|---|---|---|
Colorimetric [17,18,19,20,21,22,23,24,25,26,27,28,29,30] | Limited | Very high | Color, turbidity and lighting interferences; long-term stability. |
Lab-on-a-Chip [31,32,33,34,35,36,37,38,39] | High | High | Fabrication process complexity, costs |
Raman/SERS [40,41,42] | Moderate | Moderate | Fluorescence interference; costly instrumentation. |
Technology | Real-Time Capability | Portability | Limitations |
---|---|---|---|
Electrochemical ISM [43] | High | High | pH/O2 interferences, fouling |
Thin-film ISM [44] | High | High | T/pH corrections, limited lifetime |
Tryptophan-like fluorescence probe [45] | High | High | Calibration, particles interferences, cost |
Optical fluorescence/UV sensors [46] | Moderate | Moderate | Turbidity, fouling |
Electrochemical sensors [46] | High | High | Fouling |
Spectroscopy & chromatography [46] | Low | Low | Cost, slow response |
IoT wireless multiparameter systems [47] | High | High | Energy consumption, reliability |
Enzymatic biosensors [47] | High | High | Biological stability, regeneration |
Integrated multisensor with LoRa transmission [48] | High | High | Calibration, network dependency |
Technique | [mM] | [mM] | |
---|---|---|---|
CV | 2.77 | 4.36 [mM/C] | 0.14 |
CA | 2.77 | −4.15 [mM/A] | 0.30 |
Classical EIS | 3.70 | −1.87 [mM/] | 3.16 |
2.75 | −2.09 [mM/%] | 2.48 |
Concentration [mM] | CV Error [mM] | CA Error [mM] | EIS Error [mM] | (1 MHz) Error [mM] |
---|---|---|---|---|
0 | −0.09 | −0.08 | 4.62 | 0.83 |
0.1 | 0.01 | −0.03 | 3.13 | 0.76 |
1 | 0.11 | 0.26 | 4.14 | −0.34 |
10 | −0.02 | −0.07 | −2.16 | −8.01 |
SPE Index | Nanomembrane Index | Class |
---|---|---|
1, 2, 3 | 1, 2, 3 | 0 mM |
4, 5, 6 | 4, 5, 6 | 0.1 mM |
7, 8, 9 | 7, 8, 9 | 1 mM |
10, 11, 12 | 10, 11, 12 | 10 mM |
SPE Index | Nanomembrane Index | Class |
---|---|---|
13 | 13 | 0 mM |
14 | 14 | 0.1 mM |
15 | 15 | 1 mM |
16 | 16 | 10 mM |
Technique | Data Points |
---|---|
CV | 400 × 2/SPE |
CA | 1800 × 1/SPE |
Electrode Sensors EIS | 20 × 140/SPE |
Nanomembranes EIS | 90 × 16/Nanomembrane |
Dataset | CV | CA | Electrode Sensors EIS | Nanomembranes EIS |
---|---|---|---|---|
Training Data | 4800 × 2 1200 × 2/class | 21600 × 1 5400 × 1/class | 240 × 140 60 × 140/class | 1080 × 16 270 × 16/class |
Test Data | 1600 × 2 400 × 2/class | 7200 × 1 1800 × 1/class | 80 × 140 20 × 140/class | 360 × 16 90 × 16/class |
Technique | Data Points |
---|---|
CV | 400 × 2/SPE for clean water class 133 × 2/SPE for polluted water class |
CA | 1800 × 1/SPE for clean water class 600 × 1/SPE for polluted water class |
Electrode Sensors EIS | 20 × 40/SPE for clean water class 7 × 40/SPE for polluted water class |
Nanomembranes EIS | 90 × 16/SPE for clean water class 30 × 16/SPE for polluted water class |
Dataset | CV | CA | Electrode Sensors EIS | Nanomembranes EIS |
---|---|---|---|---|
Training Data | 2400 × 2 1200 × 2/class | 10800 × 1 5400 × 1/class | 120 × 140 60 × 140/class | 540 × 16 270 × 16/class |
Test Data | 800 × 2 400 × 2/class | 3600 × 1 1800 × 1/class | 40 × 140 20 × 140/class | 180 × 16 90 × 16/class |
Dataset | 180 s | 150 s | 120 s | 90 s | 60 s | 45 s | 30 s | 15 s |
---|---|---|---|---|---|---|---|---|
Training | 1080 × 16 | 900 × 16 | 720 × 16 | 540 × 16 | 360 × 16 | 270 × 16 | 180 × 16 | 90 × 16 |
Test | 360 × 16 | 300 × 16 | 240 × 16 | 180 × 16 | 120 × 16 | 90 × 16 | 60 × 16 | 30 × 16 |
Dataset | 180 s | 150 s | 120 s | 90 s | 60 s | 45 s | 30 s | 15 s |
---|---|---|---|---|---|---|---|---|
Training | 540 × 16 | 450 × 16 | 360 × 16 | 270 × 16 | 180 × 16 | 135 × 16 | 90 × 16 | 45 × 16 |
Test | 180 × 16 | 150 × 16 | 120 × 16 | 90 × 16 | 60 × 16 | 45 × 16 | 30 × 16 | 15 × 16 |
Noise Level | Accuracy (4 Classes) [%] | Accuracy (2 Classes) [%] |
---|---|---|
0 | 100 | 100 |
100 | 100 | |
85 | 100 | |
82 | 100 | |
57 | 100 | |
42 | 96 |
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Share and Cite
Cavaliere, G.; Tari, L.; Siconolfi, F.; Rehman, H.; Kuzhir, P.; Maffucci, A.; Ferrigno, L. A Novel ML-Powered Nanomembrane Sensor for Smart Monitoring of Pollutants in Industrial Wastewater. Sensors 2025, 25, 5390. https://doi.org/10.3390/s25175390
Cavaliere G, Tari L, Siconolfi F, Rehman H, Kuzhir P, Maffucci A, Ferrigno L. A Novel ML-Powered Nanomembrane Sensor for Smart Monitoring of Pollutants in Industrial Wastewater. Sensors. 2025; 25(17):5390. https://doi.org/10.3390/s25175390
Chicago/Turabian StyleCavaliere, Gabriele, Luca Tari, Francesco Siconolfi, Hamza Rehman, Polina Kuzhir, Antonio Maffucci, and Luigi Ferrigno. 2025. "A Novel ML-Powered Nanomembrane Sensor for Smart Monitoring of Pollutants in Industrial Wastewater" Sensors 25, no. 17: 5390. https://doi.org/10.3390/s25175390
APA StyleCavaliere, G., Tari, L., Siconolfi, F., Rehman, H., Kuzhir, P., Maffucci, A., & Ferrigno, L. (2025). A Novel ML-Powered Nanomembrane Sensor for Smart Monitoring of Pollutants in Industrial Wastewater. Sensors, 25(17), 5390. https://doi.org/10.3390/s25175390