Short Communication
			
				Mathematical Modeling, Numerical Methods and Software Complexes
			
				
				Development of a predictive model  for two- and three-component inorganic systems  in aqueous solutions using spectral analysis
		
			K. Y. Massalova, 	
E. Yu. Moshchenskayab		a National Engineering Physics Institute "MEPhI", Moscow, 115409, Russian Federation
					b Samara State Technical University, Samara, 443100, Russian Federation
					
			Abstract:
			This study presents an algorithm for analyzing spectral data through mathematical modeling, constructing prognostic models, and selecting optimal wavelength intervals for designing LED-based multisensor systems. The algorithm is implemented in Python and validated using experimental data from aqueous solutions of inorganic salts.
Key methodological aspects include:
– Application of multivariate calibration methods (PLS regression and multiple linear regression);
– Utilization of Shapley values to identify informative spectral wavelengths;
– Systematic enumeration to determine optimal wavelength intervals.
\end{itemize}
The developed model enables accurate prediction of two- and three-component systems in metal salt solutions using partial spectral data rather than full-spectrum analysis. Cross-validation demonstrates that:
– The model achieves comparable accuracy to full-spectrum approaches;
– The solution remains computationally efficient while maintaining predictive reliability.
The results confirm the model's adequacy for quantitative spectral analysis, particularly in resource-constrained environments where partial spectral data acquisition is advantageous.	
			
Keywords:
			multivariate calibration, PLS regression, spectral interval selection, metal ion quantification, Shapley values, chemometrics	
			UDC:
			519.24:543.5:544.3	
			
MSC: 65C20, 
62P99, 
92E20	Received: October 9, 2024Revised: February 11, 2025Accepted: February 21, 2025First online: April 11, 2025	
			DOI:
			10.14498/vsgtu2120