Mathematical modeling of protopectin decomposition under high temperatures and pressures

On the basis of experimental data on the influence of the parameters of the process of hydrolysis-extraction of plant raw materials under the influence of high temperature and pressure, a full-factor mathematical protopectin decomposition model connecting the input (type of source of raw materials, process and parameters of the hydrolysis-extraction process) and output (output and physico-chemical parameters of each decomposition product of the PP) parameters. As a model of the effect of any hydrolysis-extraction parameter, a polynomial of the form is chosen: y=∑k=05(∑m=05(∑n=05βmn(k)Tin)Pm)tk . To determine the coefficients, systems of linear algebraic equations are applied. For each pair of variables by the least squares method, using the accuracy functions, a number of coefficients were found, the total number of which was 385. This mathematical model formed the basis for the software ʺPEKTINIʺ, which allows to identify optimal conditions for hydrolysis-extraction of protopectin at the design stage and direct the process of obtaining pectic polysaccharides in the direction of increasing yield and optimizing the quality.