Estimates of the intramembrane field through the harmonics of capacitive current in inhomogeneous bilayer lipid membranes

Intramembrane field gives information about localisation of fixed charges or dipoles inside the lipid bilayer. There is systematic discrepancy between field estimates made by various methods. The possible reason of this discrepancy can be attributed to the misinterpretation of the data in the frames of the methods used. It stands for the method that is based on the compensation of the 2nd harmonic of capacitive current generated due to electrostriction phenomenon if sine voltage is applied to the bilayer. The theoretical grounds of the method mentioned are oversimplified because membrane heterogeneity has not been taken into consideration. The purpose of the work is the analysis of the generation of harmonics of capacitive current in inhomogeneous bilayer if intramembrane charges are located at different depth. The results of the study enable one to determine the position of intramembrane charges. The theoretical methods are used. The bilayer electrostriction induced by the electric field in the presence of intramembrane charges is computed. The intramembrane field depends upon localisation of the charges inside the bilayer like a sine curve; it goes to zero if the charges are located in the centre of the membrane. The charge discreteness affects the value of the compensation voltage due to nonlinearity of the bilayer deformations close to the charge. The probable appendices of outcomes are discussed for problems of intramembrane dye localisation and ion transport in the channel of sodium/potassium ATPase.