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Mathematical Model that Defines the Ionic Movement of Cells of the Eyeball by External Electric Fields

  • Jorge Santiago-Amaya,
  • Daniel Villaseñor-Chávez,
  • Kevin A. Aguilar-Bailón,
  • Jarumi Aguilar-Guggembuhl,
  • Liliana González-Espinosa

摘要

In this work, a mathematical model based on the Nernst-Einstein, static dipole and inverse Fourier transform equations is described in order to understand the behavior of ionic motion evoked by time-varying electric fields. This equation was simulated in Matlab, from them it is deduced that there is a significant movement of ionic currents with low frequencies, and this movement decreases as the frequency increases. With these results it is hypothesized that the eyeball has a positive response in its cellular metabolism in people suffering from glaucoma, if frequencies between 11.8 and 38.8 Hz are used and that the relative strength experienced in the ionic concentrations by the electric field depends on the distance of the dipole and its dipole voltage.