The mathematical model of an action process of a laser beam on a multilayer microbiological object

Abstract

In the article, the calculated mathematical model of an action process of a laser beam on multilayer spherical microbiological material was constructed. The given mathematical model is universal, because, despite the consideration of multilayer structure of microbiological material, the numerical values of the biophysical parameters, which are peculiar to layers of specific microbiological material, and the technical parameters of an electron-beam impact are not established in it. It allows, setting the certain values of parameters, to get the correct calculated mathematical model of an action process of a laser beam on multilayer spherical microbiological material. The researches given in this article have novelty in connection with the fact that the constructed calculated mathematical model is correct, the complex multilayer structure of microbiological material and peculiarities of an electron-beam impact are taken into account. The actuality of the researches is denoted in works of leading foreign and domestic scientists. The task of the researchers is calculation and search of rational values of technical parameters of biotechnological process of a laser division of multilayer microbiological material. It will allow to improve the quality of biotechnological process of a division of microbiological material due to the increase of exactness and operating speed of realization of the applied optimization mathematical models. In the article, an embryo is considered as a spherical three-layered microbiological object with the heterogeneous inclusions. The basis of the calculated mathematical model is presented by the boundary-value problem of four multidimensional, nonlinear, unsteady and heterogeneous differential equations of thermal conductivity in the spherical coordinate system. In the construction of the calculated mathematical model of an action process of a laser beam, for the consideration of the spherical three-layered structure of a microbiological object under an influence of a laser beam, the conditions of the conjugation of temperature fields in layers of an embryo and of equality of division of environments are entered in the boundary-value problem. Inserting the numeral values of biophysical and technical parameters ofprocess of a laser effect on an embryo, we will get the correct calculated mathematical model of the action process. The realization, with the applying of numerical methods or net processors of the obtained calculated mathematical model, will allow to improve the quality of biotechnological process of a laser division of an embryo due to the increase of exactness and operating speed of realization of the applied optimization mathematical models.