Theoretical (○) and experimental (•)
measurements of a Cd2+ gradient as a function of distance
from the artificial Cd2+ gradient source. Theoretical
values were calculated according to the following equation:
ΔV =
S([−UΔr]/[Cbr2
+ Ur])/2.3, where ΔV is the change in
millivolts over the vibration excursion, S is the slope of
the electrode, r is the distance from the source,
Δr is the amplitude of vibration,
Cb is the background activity of
Cd2+, and U is an empirical constant.
Experimental measurements were made by vibrating the electrode through
a 10-μm amplitude at different distances from the Cd2+
source. Inset, Calculation of the empirical constant, U.
Static measurements were made at a series of distances from the source
and then the millivolt outputs were converted to activity values. A
plot of these activity (C) values versus the inverse of the
distance from the Cd2+ source (1/r) yields a
line with a slope of U, according to the equation:
C = Cb +
U/r, where Cb is the
background activity of Cd2+ (0.09 mm), and
U (in micromoles per square centimeter) defines the
diffusion characteristics of the gradient source
(r2=0.992).