In the present work, the model equations were not used to fit data, but
to perform simulations by computer (Excel; Microsoft, Redmond, WA), in
which parameters were varied, and the resultant effects on
Q were evaluated. The following assumptions were made in all the
modeling. First, the product of oxygen diffusion coefficient
(
D) and solubility (
k) is constant across the
tissue. The value of
D is 71% of the value in
water,
20 and
k is taken to be the value in
blood, resulting in
Dk of 2.8 ×
10
−10 (cm
2-ml O
2)/(ml
tissue-mm Hg-sec). Second, during dark adaptation under normoxic
conditions, the oxygen consumption in layer 2
(
Q 2) has the maximum possible
value—that is, the value that just reduces the
PO
2 at some point along the rod
inner segment (layer 2) to zero. This is the typical observation in the
dark-adapted retina of cat.
11 12 13 As noted, oxygen
consumption in layers 1 and 3 is zero. In particular, the
O
2 consumption of the retinal pigment epithelium
is so low that it does not influence the shape of the profile (Robert
A. Linsenmeier, unpublished calculations, 1990). Oxygen
consumption is reported in terms of mean outer retinal oxygen
consumption,
Q OR (equivalent to
Q av in earlier publications).
Q OR is the consumption averaged over
the entire outer retina
\[Q_{\mathrm{OR}}{=}Q_{2}(L_{2}-L_{1})/L\]
The rationale for reporting
Q OR rather than
Q 2 is that we have higher
confidence in values of
Q OR, as
explained in detail by Haugh et al.
10 As the equations
state, all oxygen diffusion is along the photoreceptors (
x direction), and the retina is assumed to be homogeneous with no
diffusion parallel to the retinal layers (
y and
z directions). Other assumptions are discussed in the results when they
are relevant to the simulations.