Generation of capacitance current harmonics during electrostriction of inhomogeneous bilayers

The mechanisms of generation of capacitance current harmonics arising from bilayer electrostriction are investigated theoretically in the case when fi xed charges or dipoles are located inside the bilayer, If the elastic prope rties of the bilayer are inhomogeneous in a transversal direction, these ch arges or dipoles affect substancially the amplitude A(2) of the second curr ent harmonic and accordingly the magnitude of compensatory constant voltage V-C, which should be applied to the membrane to reduce A(2) to zero, In me mbranes whose Young's modulus is minimum at the carter of bilayer the depen dence of V-C on depth of immersion of the charge x(A) into the bilayer repr esents a function with alternating signs, which is reduced to zero at the c enter of bilayer, In the case of a dipole source immersed into the bilayer, the appropriate dependence is oscillating as well, and its shape is a deri vative of the corresponding dependence of V-C for fixed charges with respec t to a coordinate, Possible applications of the results are discussed.