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  5. Results of mathematical modeling of temperature distribution in the multilayer biobject

Results of mathematical modeling of temperature distribution in the multilayer biobject

D.A. Levkin
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In the article the numerical realization of the estimated mathematical model describing the process of the laser beam on the multi-layered microbial material for multi-layer (3-layer) microbiological object (embryo). The basis of the calculation of the mathematical model is a mixed problem a system of four differential equations of heat conduction in a spherical coordinate system. Using analytical methods of separation of variables found the temperature of heating the layers of the embryo. Knowing the temperature of the heating layer cell blastomere and preassigned allowable temperature laser heating layer of cells can proceed to counting the number of viable cells.
Keywords: separation of variables, stratified distribution, temperature field, the cell