JUSTIFICATION OF PARAMETRIC OPTIMIZATION WITHIN THE OPERATIONAL PARAMETERS OF BIOTECHNOLOGICAL SYSTEMS

Abstract

Calculating the values of the objective function and optimizing technical parameters for technical and biotechnological systems involves difficulties in obtaining an exact solution for the objective function. This is primarily due to the fact that taking into account the structural features of the object under study and, for example, the thermal regimes of electromagnetic interaction when formulating boundary value problems complicates the form of these problems. It then becomes impossible to determine whether these boundary value problems will have a unique solution. To ensure the validity of the boundary value problems, it is necessary either to disregard the structural features of the objects in the modeled systems and neglect external factors affecting the systems, or to establish conditions for the validity of the boundary value problems formulated without averaging the features of the modeled systems, where external factors are taken into account. The implementation of computational mathematical models constructed without accounting for the characteristics of the objects under study will reduce the accuracy of the calculated values of the objective function and, as a result, due to the connection between computational and applied optimization mathematical models, the accuracy of the optimization of its parameters.

This article presents a parametric optimization method designed to improve the performance of a biotechnological system for laser embryo cleavage. Using fundamental solutions to heat conduction equations for a homogeneous iron rod with a pulsed heat source and for a single-layer, homogeneous spherical object subjected to thermal action, the authors obtained first approximations to the laser power acting on the embryo. This was made possible by solving problems of synthesizing the parameters of technical means based on the accuracy of the temperature field. The research presented in this article will enable the solution of the problem of finding optimal parameters for laser emitters that ensure laser cleavage of the embryo.