Cell densities were determined from tiled image stacks using Zen Blue software as described in our previous publications.
5,8 Briefly, cells were counted from volumetric reconstructions of Vibratome sections, that is, by going through image stacks taking the fluorescent marker, DAPI, and differential contrast optics into account. Cells were counted across the length and depth of each section, except where the retinal layers were mechanically distorted or the immunolabeling was substantially weaker than in other parts of the same section. Volumetric reconstructions of individual vibratome sections were separated into bins (normally 100 µm width), and cells were counted within each bin across a minimum depth of 10 µm in the z-plane. Areal densities (cells/mm
2 of retinal surface) were calculated for each bin at various eccentricities along the temporal horizontal meridian. Density measurements were pooled across preparations and fit using 3-stage difference-of-exponentials functions. Optimal fit parameters are provided in
Table 3 for the equation:
D =
c1 exp (λ
1X) +
c2 exp (λ
2X) +
c3 exp (λ
3X), where
D is cell density (cells/mm
2), λ
1, λ
2, and λ
3 are exponential coefficients,
c1,
c2, and
c3 are multiplicative coefficients, and
X is eccentricity (mm). Negative fit values in the fovea were set to zero. As in our previous study,
5 cumulative density across the horizontal meridian was calculated by circular integration of spatial densities within annuli of defined eccentricity ranges, radiating from the foveal center in a “bullseye” pattern. The following formula was applied to calculate the number (
N) of cells within each annulus:
\begin{equation*}N = Density\;\left( {\frac{{cells}}{{m{m^2}}}} \right) \times \;Annulus\;Area\;\left( {m{m^2}} \right)\end{equation*}
\begin{equation*}Annulus\;Area = \left( {\pi \; \times \;{r_o}^2} \right) - \left( {\pi \; \times \;{r_i}^2}\right)\end{equation*}
where
ro represents the radius of the outer border and
ri represents the radius of the inner border of the eccentricity range in question. Integrated cell numbers were calculated by taking into account the spatial offset caused by Henle's fibers (postreceptoral displacement), as well as the larger volume of INL containing each population's cell bodies with respect to the foveal cone outer segments
10,16 (for detailed methodology see
5).