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| Data Transformation and
Study Analysis |
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We first collect our data from autoradiographic images
of each olfactory bulb as gray-scale values, which then
are converted to nCi/g of 14C by using radioactivity
standards on the films and a 3rd order polynomial
regression to generate a standard curve. The individual
data files representing each section of a given bulb are
merged to create a data matrix that is 80 measurements
by as many sections as existed for that bulb from the
first landmark to the last landmark. (Most sections do
not have 80 actual measurements. Many of the cells in
the data matrix possess placeholder values.) The data
matrices from the bulbs then are standardized in
dimensions relative to anatomical landmarks by inserting
artificial sections or by condensing three adjacent
sections into two by way of averaging the center section
with each of the other sections. The final data matrices
are 80 measurements by 44 sections. The two bulbs from
the same animal then are averaged together. We
standardize that data by dividing each measurement from
the glomerular layer (GL) by a measurement of the uptake
occurring in the subependymal zone (SEZ) from a
consistent region of those bulbs. This standardization
is intended to correct for differences in the amount of
radiolabel injected into different rats and for
differences in circulating levels of unlabeled glucose.
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We include an animal that has been exposed to only the
odorant vehicle or air with each litter of rats. After
the study is done, we average the GL/SEZ matrices for
all of the blank animals in that experiment and subtract
the average from each GL/SEZ matrix of odorant-exposed
animals. We then convert each value in a given data
matrix into a z score relative to the average and
standard deviation of the values across the entire
matrix. A z-score represents each measurement as a
number of standard deviations above or below the mean
value.
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The z-score matrices from different animals exposed to
the same odorant exposure condition in the same
experiment are averaged to produce the data that is
plotted on this website. Because foci of activity across
different individual bulbs often differ slightly in
position, the averaging procedures that we use often
"soften" the appearance of the pattern. The
average patterns tend to have larger foci of activity
that are lower in magnitude than are seen in individual
bulbs. Certain details of the activity pattern, such as
inactive glomeruli intermingled with active glomeruli,
that are quite obvious in individual autoradiographic
images also can become obscured by the averaging
procedures (Johnson et al., 2005b). Therefore, we
examine both the averaged data matrices along with
individual autoradiograms before we draw conclusions
regarding the odorant patterns.
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