MATHEMATICAL MODELING OF MOUSE CELL’S CONDUCTIVITY IN PULSED ELECTRIC FIELDстатья
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Web of Science
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Дата последнего поиска статьи во внешних источниках: 8 сентября 2021 г.
Аннотация:Based on the approximation by algebraic and transcendental functions, non-linear mathematical models have been built for the experimentally obtained dependences of the conductivity of mouse reproductive and embryonic cells on the strength of pulsed electric field applied. The approximation of experimental data was performed by the use of least squares method. The finding of extrema, inflection, intersection and the curvature of approximating functions were carried out. To find these characteristic points, the methods of classical mathematical analysis were used. For this purpose, well-known methods of analytical geometry, as well as algebraic methods for solving equations, were used. In addition, to calculate the coordinates of the intersection points and the curvature, the first and second derivatives of the found nonlinear functions were determined. The relationship has been established between the calculated coordinates of characteristic points and the modes of membrane electroporation during the linear growth of the electric field strength applied to a cell. The constructed mathematical models of experimental conductometric curves made it possible to calculate the strength of PEF, which is necessary and sufficient for the implementation of any electromanipulation technologies based on the phenomenon of electroporation.