Based on approximation by algebraic and transcendental functions, non-linear mathematical models were built for the empirically observed dependences of the conductivity of mouse reproductive and embryonic cells on the strength of the pulsed electric field applied. To estimate experimental data, the least squares method was employed. Extrema, inflections, crossings, and curvature of approximating functions were all discovered. These distinctive points were determined using typical mathematical analysis methods. This was accomplished using well-known analytical geometry and algebraic methods for solving equations. In order to calculate the coordinates of junction positions and curvature, the 1st and 2nd derivatives of non-linear functions were also computed. A link has been established between the estimated coordinates of distinctive spots and the modes of membrane electroporation during the linear growth of electric field intensity applied to a cell. The intensity of a pulsed electric field may be computed using mathematical models of experimental conductometric curves, which is necessary and sufficient for the implementation of any electroporation-based electro-manipulation technologies.
Author(S) Details
V. A. Shigimaga
Department of Technical Systems and Technologies of Animal Husbandry, P. Vasilenko Kharkov National Technical University of Agriculture, Moscovsky Prospekt, 45, Kharkov, 61000, Ukraine .
R. A. Faizullin
Federal State Budgetary Institution of Science, Udmurt Federal Research Center of the Ural Branch of the Russian Academy of Sciences, 34, T. Baramzina st., Izhevsk, 426067, Russia.
A. S. Osokina
Federal State Budgetary Institution of Science, Udmurt Federal Research Center of the Ural Branch of the Russian Academy of Sciences, 34, T. Baramzina st., Izhevsk, 426067, Russia.
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