A question about calibration

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A question about calibration

Mark Lies
Hello,

I've been using ImageJ for quantitative analysis of western blot data.  For
the past two years, I've use the Rodbard equation to calibrate ImageJ to a
step tablet to convert gray values to optical densities.  From there, I can
determine the optical densities of my samples and determine a rate of decay
of the sample of interest.  I learned how to use ImageJ by following the
tutorial for gel analysis that is included with ImageJ.

Recently, I learned how to take a histogram of the region of interest.  I
have also recently learned that the calibration curve converts a linear
scale, the gray value, to a logarithmic relationship, the optical density.
I have noticed that if I take a gray value and plug it into the Rodbard
equation using the values determined during calibration that I don't come up
with the same value for optical density that ImageJ reported based on the
calibration curve.  For example, if the gray value of 1 corresponds to an
optical density of, say, 3.5, plugging the value "1" into the fitted Rodbard
equation gives me a large negative value for the optical density.  I have
not made a simple mathematical error, and do not understand this
discrepancy.

I tried using a lograithmic fit.  Using a logarithmic fit (y=a ln (bx)), I
was able to return a fitted value by plugging a gray value into the fitted
equation.  For example, let's pretend the logarithmic fit said that a gray
value of 1 equaled an OD of 3.5.  If I then plugged "1" into the fitted
equation, the result was 3.5 for the OD.  So far so good.  The problem I
have is this.  Both the Rodbard and the logarithmic fits appear to generate
curves that fit the calibration data very nicely.  If I use the logarithmic
fit to analyze my data, in the end I have rates that are twice as long as
those determined using a step-tablet calibrated with the rodbard equation.

In short, I am confused about what ImageJ is doing and seek help.  I hope to
find someone with significant skill using ImageJ for quantitative analysis
of black and white images, especially western blots.

Thanks,

Mark