The calculation of the estimate of the polynomials coefficients was carried out by the Gaussian elimination – the forward and reverse moves were realized.

The approximation problem was solved by the least squares method. Polynomials of 8–10 degrees are chosen as the functions that modelling the experimental ones and the criteria for estimating the parameters of electroporation are the coordinates of the local extrema of their curvature and inflexion points that characterize the specified state of the cell membrane at current field intensity. Objective is a construction of models, which adequately describe the experimentally obtained nonlinear effects of the conductivity of the cell, including reversible electroporation, irreversible electrical breakdown or local reversible electrical breakdown of membranes at the fusion of two contacting cells. The problem of constructing electroporation models for membranes of biological cells by the methods of nonlinear approximation using the experimental dependences of their specific electric conductivity on intensity pulsed electric field was solved in the paper. MODELLING AND ANALYSIS OF ELECTROPORATION PARAMETERS OF THE MEMBRANE OF A BIOLOGICAL CELL INĬontext.

Key words: mouse oocytes, plasma membrane, electric conductivity, cryoprotectant, electroporation, electric breakdown, pulsed electric ﬁ eld, intensity. The AC and FA solutions caused no stabilizing effect on mouse oocyte membranes, which was manifested in development of irreversible electric breakdown of plasma membranes with increasing electric field intensity.

Cryoprotectant solutions, belonging to alcohols (EG, 2,3-BD), as well as DMSO, were shown to have a stabilizing effect on the mouse oocyte plasma membranes under electric field action. The values of electric conductivity for mouse oocytes in acetamide (AC) and formamide (FA) solutions were (16.5 ± 6.1) and (16.9 ± ± 10.7) μS/cm, respectively. For the oocytes, incubated in ethylene glycol (EG), 1,2-propane diol (1,2-PD), 2,3-butane diol (2,3-BD) and dimethyl sulfoxide (DMSO) solutions, the specific electric conductivity values were (23.6 ± 3.4), (21.3 ± 5.8) and (21.0 ± 2.3) and (23.6 ± 7.1) μS/cm respectively. Abstract: Using the method of pulsed conductometry, the values of electric conductivity of mouse oocytes in 1.0 M solutions of penetrating cryoprotectants have been first determined and the stability of their plasma membranes to the effect of pulsed electric field of increasing intensity has been investigated.

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