The object of the research - thermophysical process of laser beam action into the multilayer microbiological material. The purpose of the research - development of mathematical models, numerical methods, algorithms and specialized simulators to improve the quality of biotechnological process of laser segmentation of multilayer microbiological material under the criterion of viability of material parts. Research methods - methods of mathematical modeling of systems with distributed parameters for the formalization of parameter search optimization problems, numerical methods for the solution of multi-dimensional, non-linear and non-stationary optimization problems, methods for synthesis of specialized software and hardware simulators for effective (in terms of speed and accuracy) modeling and optimization of systems with distributed parameters. The theoretical significance of the results is that the proposed mathematical models, numerical methods, algorithms and specialized simulators for the implementation of appropriate mathematical models are the further development of mathematical modeling methods and software and hardware means to automate the process of interdisciplinary research of mathematical models designed for thermal effects of scanned sources of laser radiation emitted on multilayer microbiological objects. In addition, it allows to carry out an effective solution of important applied problems related to the optimization of thermal processes in microbiological systems. The practical significance lies in the fact that the obtained results can be used to improve the quality of the process of division of artificial and natural skin during the medical treatment of extensive burns, the division of early elite embryos for subsequent transplantation, microsurgery practice, ophthalmology, cosmetology and other industries. Scientific novelty of the results is that the improved mathematical model of the basic optimization problem, which is a multi-dimensional, non-stationary, non-linear and multi-extremum optimization of process parameters of local thermal laser effects on multi-layer microbial material is subject to the limitations on the resulting temperature field of the biomaterial. Formalization and systematization of applied optimization problems are performed, which are special cases of the basic optimization task. Characteristic features of their mathematical models are studied that enabled making reasonable choice of methods to carry out their numerical, software and hardware implementations. For the first time, the multi-point boundary value problem has been investigated for the multilayer microbiological environment, and correctness of this problem has been proved for small perturbations. This result allows us to guarantee the adequacy of the calculation and application of optimization mathematical models describing the action of the laser beam process on the multilayer (N-layer) microbiological materials. The search method has been improved for optimizing the basic parameters of the laser beam, which takes into account the specifics of the parameters of the scanned laser sources and mathematical models based on the composition applied on a consistent numerical methods that form the structure of the computer. A block diagram has been proposed for the basic algorithm for the realization of the computing structure. This allows the application of numerical implementation of optimization mathematical models to change the composition only of numerical methods in computational respective structures. Methods and tools for hardware and software implementation of the application for optimization mathematical models have gained further development. A method and apparatus has been proposed for implementing the two mathematical models which allow increasing the effectiveness (in terms of time and memory) of the implementation of these models and allow implementing solutions to increase the accuracy of applications through the use of function-oriented sub blocks. The thesis is done in accordance with the scientific and research work of Petro Vasilenko Kharkiv National Technical University of Agriculture, where the scientific and technical works have been carried out on the topics: "Design of process of the thermal heating of multi-layered biological object" (Certificate of implementation from the Ministry of Agricultural Policy from 21.12.2012, No 21-1-7 / 268); "Development of methods of laser division of embryos of cattle" (No of State registration 0206U000717); "To work out and optimize the systems of cloning, chimerization, hybridization and biophysical estimation of quality of oocytes, embryos and reproductive function of males" (No of State registration 0111U003445); "Results of experimental researches on influence of EMP KVCH range on biological objects" (No of State registration 0104U003721).
