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Biophys J, September 1998, p. 1144-1162, Vol. 75, No. 3
*Department of Medicine,
A difficulty of using confocal microscopy to study
Ca2+ sparks is the uncertainty of the linescan position
with respect to the source of Ca2+ release. Random
placement of the linescan is expected to result in a broad distribution
of measured Ca2+ spark amplitudes (a) even if
all Ca2+ sparks were generated identically. Thus variations
in Ca2+ spark amplitude due to positional differences
between confocal linescans and Ca2+ release site are
intertwined with variations due to intrinsic differences in
Ca2+ release properties. To separate these two sources of
variations on the Ca2+ spark amplitude, we determined the
effect changes of channel current or channel open time
Biophys J, September 1998, p. 1144-1162, Vol. 75, No. 3
collectively
called the source strength, 
had on the measured Ca2+
spark amplitude histogram, N(a). This was done by 1)
simulating Ca2+ release, Ca2+ and fluo-3
diffusion, and Ca2+ binding reactions; 2) simulation of
image formation of the Ca2+ spark by a confocal microscope;
and 3) using a novel automatic Ca2+ spark detector. From
these results we derived an integral equation relating the probability
density function of source strengths, f
(
),
to N(a), which takes into account random positional variations between the source and linescan. In the special, but important, case that the spatial distribution of Ca2+-bound
fluo-3 is Gaussian, we show the following: 1) variations of
Ca2+ spark amplitude due to positional or intrinsic
differences can be separated, and 2) f
(
)
can, in principle, be calculated from the Ca2+ spark
amplitude histogram since N(a) is the sum of shifted
hyperbolas, where the magnitudes of the shifts and weights depend on
f
(
). In particular, if all
Ca2+ sparks were generated identically, then the plot of
1/N(a) against a will be a straight line.
Multiple populations of channels carrying distinct currents are
revealed by discontinuities in the 1/N(a) plot. 3) Although
the inverse relationship between Ca2+ spark amplitude and
decay time might be used to distinguish Ca2+ sparks from
different channel populations, noise can render the measured decay
times meaningless for small amplitude Ca2+ sparks.
© 1998 by the Biophysical Society 0006-3495/98/09/1144/19 $2.00
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