Abstract
In this study, TiO2-doped chitosan micro/nanoparticles were fabricated using the ionic gelation mechanism under several process parameters to exhibit the strategy of introducing particle image data for the prediction of particle size. Herein, we report on a detailed methodology for the prediction of prepared particles via artificial neural network (ANN) algorithm using the multi-layer perceptron (MLP) and radial basis function (RBF) models to select the model that demonstrates the best performance for estimation of particle size. Chitosan and TiO2-doped chitosan micro/nanoparticles were imaged, processed, and analyzed as particle diameters in order to explore prediction models, which were developed under three different classes of prepared particles (chitosan, TiO2-doped chitosan, and chitosan/TiO2-doped chitosan). Models were built using particle fabrication process parameters as input with particle size as output. The established MLP model successfully predicted the particle size of all classes with the mean square error (MSE) and correlation coefficient (R) between the observed and predicted values in the range of 0.0012–0.0065 and 0.85–0.90, respectively. The best results for prediction were achieved from the RBF model for all classes of particles where MSE and R values were determined as 2.93 × 10−22–4.93 × 10−11 and 1.0, respectively. Results successfully highlighted the prediction process of particle sizes via MLP and RBF models could be relevant in the decision to produce TiO2-doped chitosan particles and confirmed the usefulness of particle image data for simulation.
Graphical Abstract
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The TiO2-doped chitosan particle data supporting this article have been included as part of the Supplementary Information, and all other data are available on request from the authors.
Abbreviations
- ANN:
-
Artificial neural network
- DLS:
-
Dynamic light scattering
- FTIR:
-
Fourier transform infrared
- MAE:
-
Mean absolute error
- MLP:
-
Multi-layer perceptron
- MSE:
-
Mean square error
- PCL:
-
Poly(caprolactone)
- PEG:
-
Polyethylene glycol
- PLA:
-
Polylactide
- PLGA:
-
Poly(lactic-co-glycolic acid)
- PVA:
-
Poly(vinyl acetate)
- R:
-
Correlation coefficient
- R2 :
-
Coefficient of determination
- RBF:
-
Radial basis function
- RMSE:
-
Root mean square error
- TANSIG:
-
Tangent sigmoid
- TiO2 :
-
Titanium dioxide
- TPP:
-
Sodium tripolyphosphate
- XRD:
-
X-ray diffraction
- \({\upmu }_{\mathrm{j}}\) :
-
RBF function center
- \({\upsigma }_{j}\) :
-
The spread of the Gaussian basis function
- \({\upphi }_{\mathrm{j}}\left(\mathrm{x}\right)\) :
-
The nonlinear function of unit j
- \({\mathrm{x}}_{0}\) :
-
Activation of the hidden layer node
- \({\mathrm{x}}_{\mathrm{n}}\) :
-
Activation of nth hidden layer node
- \(\overline{y}i\) :
-
The mean of the target values
- \({\upomega }_{\mathrm{no}}\) :
-
The interconnection between the nth hidden layer node and the oth output layer node
- f():
-
Activation function
- \(\widehat{y}i\) :
-
Network outputs (predicted)
- \(yi\) :
-
Targets (observed)
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Acknowledgements
The authors acknowledge Dr. Ceren Kaya for her technical support in designing ANN architecture.
Funding
This work has been supported by funding from the Department of the Scientific Research Projects at Zonguldak Bülent Ecevit University (project no. 2021–39971044-04).
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A.D: Investigation, methodology, data curation, formal analysis and R.S.T.A: Conceptualization, investigation, funding acquisition, project administration, writing – review & editing.
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Aydın, R.S.T., Demir, A. Artificial neural network prediction of TiO2-doped chitosan micro/nanoparticle size based on particle imaging measurements. Colloid Polym Sci (2025). https://doi.org/10.1007/s00396-024-05368-2
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DOI: https://doi.org/10.1007/s00396-024-05368-2