Dielectric behavior of the frog lens in the 100 Hz to 500 MHz range. Simulation with an allocated ellipsoidal-shells model

Abstract

In an attempt to correlate the passive electrical properties of the lens tissue with its structure, we measured ac admittances for isolated frog lenses, lens nuclei, and homogenate of cortical fiber cells, over the frequency range 10(2)-5.10(8) Hz. The whole lenses molded into discoid shape show a characteristic "two-step" dielectric dispersion with a huge permittivity increment of the order of 10(5) at 1 kHz. Of the two subdispersions disclosed, dispersion 1 has a permittivity increment (delta epsilon) of 2.10(5) with a characteristic frequency (fc) of 2 kHz, and dispersion 2 has a delta epsilon of 400 with an fc of 2 MHz. In terms of loss tangent, these dispersions are more clearly located as two separate peaks. Data are analyzed using an allocated ellipsoidal-shells model which has been developed by taking into account fiber orientation inside the lens tissue. Dispersion 1 is assigned to the equatorial cortex, where fiber cells run parallel to the applied electric field, and dispersion 2 to the nucleus with a complex fiber arrangement and also to the polar cortex, in which the fiber alignment is predominantly perpendicular. In addition, the model analysis reveals that, in the frog lens, the nucleus occupies approximately 30% in volume and that relative permittivity and conductivity for the cell interior are, respectively, 45 and 3 mS/cm for the cortical cells, and 28 and 0.3 mS/cm for the nuclear cells.