[Membrane interaction with regard to redistribution of charged components]. / Issledovanie vzaimodeistviia membran s uchetom pereraspredeleniia zarazhennykh komponentov.

A system of two plane charged bilayers in electrolyte solution was considered with regard to possible redistribution of the charged lipids under the effect of the electric field. Force and energy conditioned by electric and van der Waals interaction were analysed. Two possible mechanisms of charge redistribution were proposed and analysed: the lateral one and by the "flip-flop" type. The results for these redistribution types were compared with those for fixed charge density. Relationships between inner field on the membrane surface potential differences resulting forces and energies and the distance between the membranes and the effect of charge redistribution were analysed. The redistribution of the surface charge was shown to weaken the pushing part of the membranes and to decrease the intermembrane field, which promotes the adhesion without damaging the membrane structure.

[Interaction of membranes with constant surface charge]. / Vzaimodeistvie membran, nesushchikh postoiannyi poverkhnosthyi zariad.

A system of two plane charged bilayers in electrolyte solution is considered. Equilibrium criteria of such system under the effect of van der Waals attractive forces and electrostatic repulsive force were obtained, as well as aggregation criteria (it is assumed that surface charge density on the membrane is constant). Relationships between the membrane inner field, surface potential differences, as well as resulting forces and energies and the distances between the membranes were analysed.

[Comparison of discrete models of charge transfer in thin membranes. III. Unstable conditions, large polarizing voltages]. / Sopostavlenie diskretnykh modelei pereonosa zariada v tonkikh membranakh. III. Nestatsionarnyi rezhim, bol'shie poliarizuiushchie napriazheniia.

The validity of one-jump approach to ion transfer through thin membranes is discussed. The detailed analysis is carried out for the transport scheme with slow conformational processes in the membrane volume. It is shown that there exists some difference between stationary and nonstationary values of the transfer coefficient. The second essential feature of this scheme is the appearance of a slight minimum on the relaxation curve with high voltages in the membrane system.

[Comparison of discrete models of charge transfer in thin membranes. II. Nonstationary conditions, small polarizing voltages]. / Sopostavlenie diskretnykh modelei perenosa zariada v tonkikh membranakh. II. Nestatsionarnyi rezhim, malye poliarizuiushchi napriazheniia

The multi-step model of charge transfer is used to describe the transient behaviour of the membrane system. Analysis is carried out for the membranes with non-homogenous narrow pores. If the degree of non-homogenity of pores is high, slow relaxation occurs. In general the parameters of this relaxation do not coincide with those derived by one-jump approach to ion transfer through thin membrane.

[Comparison of jumping and electrodiffusion mechanisms of particle movement in thin membranes. II. Potential clamping. Jumping and continuous uniform mechanism]. / Sopostavlenie pereskokovogo i élektrodiffuzionnogo opisanii dvizheniia chastits v tonkikh membranakh. II. Fiksatsiia potentsiala. Pereskokovoe i nepreryvnoe odnorodnoe opisaniia

Electric relaxation of the membrane in three-barrier hopping and electrodiffusion uniform models has been considered. Both models are shown to have different relaxation characteristics which do not coiside with each other.

[Comparison of jumping and electrodiffusion mechanisms of particle movement in thin membranes. I. Statement of the problem. Stationary transfer]. / Sopostavlenie pereskovogo i élektrodiffuzionnogo opisanii dvizheniia chastits v tonikkh membranakh. I. Postanovka zadachi. Statsionarnyi perenos

The communication presented is the first in the cycle on comparative analysis of hopping (three barrier) and electrodiffusion description of particle movement in thin membranes. A case of stationary transfer is considered. It is shown that the three barrier hopping description is adequate to the electrodiffusion one when the membrane is non-uniform with a high narrow barrier in the middle. The uniform electrodiffusion description is adequate to the three barrier one only in the cases when the limiting stage is presented by the transfer through a membrane surface or the border of small outer electric fields.

[Comparison of jumping and electrodiffusion mechanisms of particle movement in thin membranes. III. Potential clamping in a uniform membrane]. / Sopostavlenie pereskokovogo i élektrodiffuzionnogo opisaniia dvizheniia chastits v tonkikh membranakh. III. Fiksatsiia potentsiala v neodnorodnoi membrane

Electric relaxation of a non-uniform membrane was considered during potential clamp. It is shown that in the case of non-uniformity as a high narrow potential barrier in the middle and deep holes along the membrane edges the electrodiffusion model is adequate to the three-barrier hopping one.

[Comparison of discrete models of charge transfer in thin membranes. I. Stationary regime]. / Sopostavlenie diskretnykh modelei perenosa zariada v tonkikh membranakh. I. Statsionarnyi rezhim

The model of the ion transport through thin membranes is discussed. It is assumed that there exist some steps of the ion transfer in the membrane volume. Theory of absolute rate of processes is used to derive an equation for stationary transmembrane flow. As a result the thory parameters are connected with the form of potential energy curve of permeable ions into the membrane phase.