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The dynamic models of elements of technological systems with perfect mixing and plug-flow hydrodynamics are based on the systems of algebraic and differential equations that describe a change in the basic technological parameters. The main difficulty in using such models in MathWorks Simulink™ computer simulation systems is the representation of ordinary differential equations (ODE) and partial differential equations (PDE) that describe the dynamics of a process as a MathWorks Simulink™ block set. The study was aimed at developing an approach to the synthesis of matrix dynamic models of elements of technological systems with perfect mixing and plug-flow hydrodynamics that allows for transition from PDE to an ODE system on the basis of matrix representation of discretization of coordinate derivatives. A sugar syrup cooler was chosen as an object of modeling. The mathematical model of the cooler is formalized by a set of perfect reactors. The simulation results showed that the mathematical model adequately describes the main regularities of the process, the deviation of the calculated data from the regulations did not exceed 10%. The proposed approach significantly simplifies the study and modernization of the current and the development of new technological equipment, as well as the synthesis of algorithms for controlling the processes therein.

Successful selection of potatoes in order to increase the nutritional value of potato tubers is limited by the duration of the selection of effective seed parents for hybridization and the need to use express methods for mass assessment of genotypes, according to the biochemical composition of tubers, especially in terms of content and ratio of starch components. The observed transgressive segregation by starchiness of potato tubers with accumulating crosses of highly starchy seed parents significantly increases the level of this trait of offspring, which weakly correlates with productivity. The high correlation between the protein content in tubers of seed parents and the average proteinity of the offspring confirms the presence of control of this trait by additively acting polygenes. This means that in the process of natural meiotic recombinogenesis in hybrid populations, the increase in the protein content of potato tubers of hybrids in the extreme variational classes is possible.