Modeling the Process of Synthesis of Nanoparticles into Fibrous Materials by the Method of Chemical Reduction

Silk fibers served as a matrix for the reduction of nanoparticles from a silver salt solution. A mathematical model describing the dependence of the total content of reduced silver on a fiber Y on the input parameters X1, X2, X3, X4 (silver concentration in the treatment solution, concentration of reducing agent, temperature and duration of the reduction process, respectively) is constructed. A chemically substantiated nonlinear regression model and a two-layer perceptron are proposed, which make it possible to obtain mathematical expressions for the dependence of the silver content on silk fibers on the input parameters. Both models adequately reflect the experimental data – the error of the regression model is 0.16, the error of the two-layer perceptron is 0.14.