Development of Non-linear Mathematical Models for Mouse Cell’s Conductivity in Pulsed Electric Field

Non-linear mathematical models were created for the empirically reported dependences of the conductivity of mouse reproductive and embryonic cells on the strength of the pulsed electric field applied, based on approximation by algebraic and transcendental functions. The usage of the least squares method was used to approximate experimental data. Approximating functions' extrema, inflections, intersections, and curvature were all found. The traditional mathematical analysis methods were utilised to determine these characteristic points. The well-known analytical geometry methods and algebraic methods for solving equations were employed for this. The 1st and 2nd derivatives of non-linear functions were also computed in order to derive the coordinates of junction locations and curvature. During the linear rise of electric field strength applied to a cell, a relationship has been established between the estimated coordinates of characteristic spots and the modes of membrane electroporation. The intensity of a pulsed electric field may be calculated using the mathematical models of experimental conductometric curves, which is essential and enough for the application of any electro-manipulation technologies based on the phenomena of electroporation.