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Fig. 4. Electric field characterization: study of the fish's filtering properties
and comparison with an ideal voltage divider. (A) Potential values at the
electric organ (blue) and at the interior (green) and exterior (red) skin
boundaries along the EO segment (zero corresponds to the rostral end, one to
the caudal end), for a 5-cycle sinusoidal current density (fish model). (B)
Right axis, green trace shows the normalized energy of the exterior skin
potential curve as a function of rostro-caudal position along the fish body
(fish model; solid line was obtained using the `shape-preserving interpolant'
fitting function in MATLAB). This energy quantifies the level of `smoothness'
of a given trace (see text for details). Left axis, blue trace shows the
filtering along the EO segment for a 50-cycle sinusoidal current density (fish
model). Filtering quantifies how much the energy has decreased from the EO to
the skin (see text for details). The red line represents the start of the EO
in the fish model (x=4.42 cm; see
Fig. 1B). (C) Filtering along
the EO segment for the fish model (green) and for the taper model with low
(black) and high (blue) taper values. Red broken line represents the location
of taper change in the fish model. (D) Comparison between the fish and an
ideal voltage divider (taper model, taper=0.05). Theoretical (green) and
simulated (blue) transdermal potentials along the EO segment for a 5-cycle
sinusoidal current density. Red trace shows the difference between simulation
and theory (see text for details).
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