Metaheuristic-Optimized Cassava Starch/CNF/SiO2 Bio-Nanocomposite Films for Sustainable Food Packaging: A Data-Driven Approach
Abstract
1. Introduction
2. Materials and Methods
2.1. Materials and Film Preparation
2.2. Characterization of Physical Properties
- Mechanical Properties: The tensile strength (TS) and elongation at break (EB) of the composite films were measured using a Universal Testing Machine. Film samples were cut into 20 mm × 100 mm rectangular strips and conditioned at 25 ± 1 °C and 50 ± 2% relative humidity for 24 h before testing. The test parameters were set as follows: initial grip separation of 70 mm and a test speed of 2 mm/s. Five replicates were tested for each sample, and the average value was reported. TS and EB were calculated using Equations (1) and (2):where TS is the tensile strength (N/mm2), F is the maximum tension force at the point of film rupture (N), d is the thickness of the tested film (mm), and W is the width of the film (mm).where EB is the elongation at break (%), L is the distance between gauge marks at break (mm), and L0 is the initial distance between gauge marks (mm).
- 2.
- WVP: WVP is a critical indicator for evaluating the moisture barrier performance of preservative films [26,27]. In this study, the WVP was determined using the gravimetric method according to the ASTM E96/E96M-22 standard [28]. The specific testing procedure was as follows: 8.00 ± 0.01 g of anhydrous calcium chloride (desiccant) was placed in a polyethylene Petri dish with a diameter of 50 mm. The Petri dish was sealed with the composite film to be tested, and the initial weight was measured using an electronic analytical balance (accuracy: 0.0001 g). The sample was then placed in a constant temperature and humidity chamber, with the ambient temperature controlled at 25 ± 0.5 °C and the relative humidity at 50 ± 2%. The sample was weighed at 2 h intervals, and the mass change was recorded. The calculation formula is shown in Equation (3):where WVP is the water vapor permeability of the sample (g·m−1·s−1·Pa−1), Δm/Δt is the water vapor mass transfer rate per unit time (g/s), d is the average thickness of the film (m), A is the water vapor transmission area (m2), and Δp is the water vapor pressure difference between the two surfaces of the film, with a value of 1.5845 kPa.
- 3.
- Oxygen Permeability (OP): The oxygen permeability (OP) of the composite films was indirectly determined using Raman spectroscopy. 10.00 ± 0.05 mL of soybean oil was placed in a clean 50 mm diameter Petri dish, sealed with the test film, and subjected to accelerated oxidation in a 60 °C constant temperature oven for 7 days. Subsequently, Raman spectra of the oil samples were collected using a Raman spectrometer with the following parameters: excitation wavelength of 532 nm, laser power of 10 mW, temperature of 25 °C, single scan time of 10 s, and a scanning range of 500–2000 cm−1. The degree of oil oxidation was quantitatively assessed by analyzing the intensity changes in characteristic peaks (e.g., 1656 cm−1 C=C and 1746 cm−1 C=O stretching vibration peaks), which indirectly reflect the oxygen barrier performance of the film.
- 4.
- Film Thickness: The film thickness was measured using a handheld digital micrometer with an accuracy of ±0.001 mm. At least five random locations on each film sample were selected for measurement, and the results are expressed as mean ± standard deviation.
- 5.
- Surface morphology: Scanning electron microscopy (SEM) and energy-dispersive X-ray spectroscopy (EDX) analyses were performed using a JEOL IT-500 SEM (JEOL Ltd., Peabody, MA, USA) equipped with an EDS detector. Prior to observation, the samples were sputter-coated with gold to enhance surface conductivity. Imaging and elemental mapping were conducted at an accelerating voltage of 15 kV. A macroscopic image of the film was acquired using a smartphone within a light-sealed enclosure illuminated by tunable color temperature LED panel lights.
- 6.
- DSC: Differential scanning calorimetry (DSC) was employed to evaluate the thermal properties of the materials. Measurements were performed on a TA Instruments Q2000 DSC under a nitrogen atmosphere with a flow rate of 50 mL/min. Samples weighing 5–10 mg were placed in standard aluminum crucibles and heated from 25 °C to 400 °C at a rate of 10 °C/min.
- 7.
- XRD: X-ray diffraction (XRD) analysis was carried out using a Shimadzu XRD-6100 diffractometer. The samples were scanned over a range of 5–90° at a rate of 5°/min under Cu Kα radiation.
- 8.
- Light Transmittance: The light transmittance of the films was measured using a UV-Vis spectrophotometer. Film samples were cut into 10 mm × 30 mm rectangular strips and fixed flat against the inner transparent window of a cuvette. An empty cuvette was used as the reference. A full-wavelength scan was performed in the 200–800 nm range to measure the absorbance. Transmittance was calculated using Equation (4) [29]:where T is the transmittance (%), and A is the absorbance value.
- 9.
- Biodegradability: A 2 × 2 cm piece of the preservative film was weighed (W0), wrapped in a single layer of gauze, and buried 5 cm deep in soil with 45% humidity. The sample was retrieved every seven days, cleaned of surface soil, and its weight was recorded (W1). The rate of biodegradation was calculated using Equation (5):where ΔW is the biodegradation rate (%), W0 is the initial weight of the film (g), and W1 is the weight of the film after degradation (g).
2.3. Response Surface Methodology (RSM) Experimental Design
2.4. Objective Function Based on Desirability Function
2.5. Firefly Optimization Algorithm
3. Results and Discussion
3.1. Single-Factor Analysis of Film Properties
3.1.1. Effect of Starch Concentration on Physical Properties
3.1.2. Effect of CNF Concentration on Physical Properties
3.1.3. Effect of SiO2-NPs Concentration on Physical Properties
3.2. Response Surface Analysis
3.2.1. Analysis of Response Surface Results
3.2.2. Regression Model and Analysis of Variance (ANOVA)
3.2.3. Analysis of Response Surface Interactions
3.3. Optimization of Formulation Parameters
3.3.1. Objective Function
3.3.2. Optimization Results and Validation
3.4. Surface Morphology of Films
3.5. DSC
3.6. XRD
3.7. Optical Properties of the Composite Film
3.8. Biodegradability
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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| Experimental | Factor | Response | ||||
|---|---|---|---|---|---|---|
| Starch/% | CNF/% | SiO2-NPs/% | TS/Mpa | EB/% | WVP/g·cm−1·s−1·Pa−1 | |
| 1 | 2 | 0.5 | 0.5 | 2.309 | 20.28 | 6.32 |
| 2 | 3 | 1 | 0.1 | 3.813 | 28 | 7.32 |
| 3 | 1 | 0.5 | 0.3 | 3.501 | 14.22 | 5.89 |
| 4 | 1 | 1 | 0.1 | 6.219 | 10.51 | 6.36 |
| 5 | 3 | 1 | 0.5 | 2.307 | 20.55 | 7.39 |
| 6 | 3 | 0.5 | 0.3 | 1.445 | 38.7 | 5.87 |
| 7 | 2 | 0.5 | 0.1 | 2.867 | 25.72 | 5.92 |
| 8 | 1 | 1.5 | 0.3 | 7.127 | 8.21 | 5.67 |
| 9 | 2 | 1.5 | 0.1 | 6.58 | 12.57 | 6.71 |
| 10 | 2 | 1 | 0.3 | 5.142 | 19.57 | 5.15 |
| 11 | 1 | 1 | 0.5 | 5.198 | 8.49 | 6.81 |
| 12 | 3 | 1.5 | 0.3 | 4.448 | 17.1 | 6.87 |
| 13 | 2 | 1 | 0.3 | 5.215 | 15.89 | 5.1 |
| 14 | 2 | 1 | 0.3 | 4.99 | 16.53 | 5.36 |
| 15 | 2 | 1 | 0.3 | 5.361 | 15.92 | 5.09 |
| 16 | 2 | 1 | 0.3 | 4.792 | 16.29 | 5.13 |
| 17 | 2 | 1.5 | 0.5 | 5.892 | 6.7 | 5.99 |
| Response Indicators | Source of Variance’ | Sum of Squares | Freedom | Mean Square | F Value | p-Value |
|---|---|---|---|---|---|---|
| TS/Mpa | A | 12.58 | 1 | 12.58 | 179.61 | <0.0001 |
| B | 24.24 | 1 | 24.24 | 346.06 | <0.0001 | |
| C | 1.78 | 1 | 1.78 | 25.41 | 0.0015 | |
| A2 | 1.05 | 1 | 1.05 | 14.95 | 0.0062 | |
| B2 | 0.9341 | 1 | 0.9341 | 13.34 | 0.0082 | |
| Error | 0.4903 | 7 | 0.07 | __ | __ | |
| Lack of fit | 0.3002 | 3 | 0.1001 | 2.11 | 0.2422 | |
| EB/% | A | 494.87 | 1 | 494.87 | 290.01 | <0.0001 |
| B | 369.10 | 1 | 369.10 | 216.31 | <0.0001 | |
| C | 53.98 | 1 | 53.98 | 31.63 | 0.0008 | |
| AB | 60.76 | 1 | 60.76 | 35.61 | 0.0006 | |
| A2 | 11.38 | 1 | 11.38 | 6.67 | 0.0364 | |
| C2 | 10.73 | 1 | 10.73 | 6.29 | 0.0405 | |
| Error | 11.94 | 7 | 1.71 | __ | __ | |
| Lack of fit | 2.34 | 3 | 0.7814 | 0.3255 | 0.8083 | |
| WVP/g·cm−1·s−1·Pa−1 | A | 0.9248 | 1 | 0.9248 | 38.88 | 0.0004 |
| B | 0.1922 | 1 | 0.1922 | 8.08 | 0.025 | |
| AB | 0.3721 | 1 | 0.3721 | 15.64 | 0.0055 | |
| BC | 0.3136 | 1 | 0.3136 | 13.18 | 0.0084 | |
| A2 | 2.84 | 1 | 2.84 | 119.59 | <0.0001 | |
| C2 | 4.06 | 1 | 4.06 | 170.68 | <0.0001 | |
| Error | 0.1665 | 7 | 0.0238 | __ | __ | |
| Lack of fit | 0.1172 | 3 | 0.0391 | 3.17 | 0.1472 |
| TS /Mpa | EB /% | WVP /% | Optimization Parameter | ||||
|---|---|---|---|---|---|---|---|
| Starch/% | CNF/% | SiO2-NPs/% | |||||
| Preservation film | Predictive value | 6.164 | 12.3203 | 5.3287 | 1.99 | 1.38 | 0.30 |
| Test value | 5.813 | 12.3654 | 5.3954 | ||||
| Relative error (%) | 5.69 | −0.37 | −1.25 | ||||
| Optimization | TS/Mpa | EB/% | WVP/ | ||||
|---|---|---|---|---|---|---|---|
| Method | Max | Min | Max | Min | Max | Min | |
| Preservation film | FA | 4.431 | 4.1949 | 21.6073 | 18.5125 | 5.4636 | 5.1443 |
| R | 0.2361 | 3.0948 | 0.3194 | ||||
| D-E | 6.2473 | 5.8998 | 13.6702 | 9.9778 | 5.5665 | 5.3287 | |
| R | 0.3476 | 3.6924 | 0.2378 | ||||
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Bie, M.; Wang, T.; Yang, Z.; Yuan, S.; Gu, Y.; Liu, C.; Zhao, W.; Song, K. Metaheuristic-Optimized Cassava Starch/CNF/SiO2 Bio-Nanocomposite Films for Sustainable Food Packaging: A Data-Driven Approach. Sustainability 2025, 17, 11070. https://doi.org/10.3390/su172411070
Bie M, Wang T, Yang Z, Yuan S, Gu Y, Liu C, Zhao W, Song K. Metaheuristic-Optimized Cassava Starch/CNF/SiO2 Bio-Nanocomposite Films for Sustainable Food Packaging: A Data-Driven Approach. Sustainability. 2025; 17(24):11070. https://doi.org/10.3390/su172411070
Chicago/Turabian StyleBie, Mei, Ting Wang, Zhichao Yang, Shiwei Yuan, Yinghui Gu, Chong Liu, Wei Zhao, and Kai Song. 2025. "Metaheuristic-Optimized Cassava Starch/CNF/SiO2 Bio-Nanocomposite Films for Sustainable Food Packaging: A Data-Driven Approach" Sustainability 17, no. 24: 11070. https://doi.org/10.3390/su172411070
APA StyleBie, M., Wang, T., Yang, Z., Yuan, S., Gu, Y., Liu, C., Zhao, W., & Song, K. (2025). Metaheuristic-Optimized Cassava Starch/CNF/SiO2 Bio-Nanocomposite Films for Sustainable Food Packaging: A Data-Driven Approach. Sustainability, 17(24), 11070. https://doi.org/10.3390/su172411070

