If we assume that the difference between the accumulation rates
estimated from the in vivo data (curve D,
Fig. 6 ) and from the ex vivo
data (average of curves O and W) is entirely due to melanin, we can
estimate that melanin must have attenuated lipofuscin fluorescence 1.5
times more at age 15 than at age 65. We can calculate
F 15, the fluorescence in young
subjects, with all the melanin located apical to the lipofuscin and
F 65, the fluorescence in old subjects,
with the melanin uniformly intermixed with lipofuscin in the entire
cell. These fluorescences are given by:
\[F_{15}{=}{\zeta}{\cdot}d{\cdot}10^{-{[}K_{{\Lambda}}{+}K_{{\lambda}}{]}{\cdot}D_{500}}\]
and
\[F_{65}{=}\ \frac{{\zeta}{\cdot}d{\cdot}\left\{1-10^{-{[}K_{{\Lambda}}{+}K_{{\lambda}}{]}{\cdot}D_{500}}\right\}}{\mathrm{ln}(10){\cdot}{[}K_{{\Lambda}}{+}K_{{\lambda}}{]}{\cdot}D_{500}}\]
where ζ is the efficiency of the lipofuscin fluorescence (per
unit length),
d the total thickness of the RPE,
K Λ and
K λ the extinction coefficients of
melanin
53 at the excitation (Λ) and emission (λ)
wavelength (normalized to the extinction at 500 nm), and
D 500 is the melanin optical density of
the RPE at 500 nm. The latter is the same in both cases; we assume a
very thin apical layer with high concentration at age 15, and the full
thickness
d with low concentration at age 65. Substituting
F 65 = 1.5.
F 15 (Λ = 550 nm, λ = 650
nm), we found by successive approximation a value
D 500 = 0.32 DU. For the data withΛ
= 470 nm (curve D′), we similarly found an optical density of
D 500 = 0.29 DU. These results are
consistent with the mean optical densities for the entire RPE of 0.23
DU
2 and 0.35 DU
53 measured ex vivo at 500 nm.
Although derived from different studies, these calculations indicate
that most of the difference in accumulation rates between ex vivo and
in vivo estimates could be accounted for by a redistribution of melanin
within the RPE cell, even though the total amount of melanin remains
constant.