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From the 1 Departments of Biomedical Engineering and 2 Neurobiology and Physiology, and the 3 Institute for Neuroscience, Northwestern University, Evanston, Illinois.
| Abstract |
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METHODS. The O2 distribution across the retinal layers was previously measured with O2-sensitive microelectrodes in cat. Profiles were fitted to a diffusion model to obtain parameters characterizing photoreceptor O2 demand. This was a study of simulations based on those parameters.
RESULTS. Photoreceptor inner segments have a high O2 demand (QO2), and they are far (20 to 30 µm) from the choroid. These unusual conditions require a large O2 flux to the inner segments, which in turn requires high choroidal oxygen tension (PO2), high choroidal venous saturation (ScvO2), low choroidal O2 oxygen extraction per unit volume of blood, and a choroidal blood flow (ChBF) of at least 500 ml/100 g-min. Movement of the inner segments further from the choroid, which occurs in a retinal detachment, severely reduces the ability of the inner segments to obtain O2, even for detachment heights as small as 100 µm. Depending on detachment height and assumptions about choroidal and inner retinal PO2 during elevation of inspired O2 (hyperoxia), hyperoxia is predicted to partially or fully restore photoreceptor QO2 during a detachment. CONCLUSIONS. The choroid is not overperfused, but requires a high flow rate to satisfy the normal metabolic demand of the retina. Because the oxygenation of the photoreceptors is barely adequate under normal conditions, detachment has serious metabolic consequences. Hyperoxia is predicted to have clinical benefit during detachment.
| Introduction |
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Recently, Mervin et al.15 and Lewis et al.16 have provided evidence that hyperoxia can minimize the loss of photoreceptors and minimize reactions of the Müller cells during retinal detachment in the cat. The modeling performed in the current study provides further insight into the metabolic state of the detached retina, a theoretical basis for the observations of Mervin et al. and Lewis et al., and a prediction of the conditions under which hyperoxia would be beneficial during detachment.
| Methods |
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![]() | (1) |
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i,
ßi are constants in layer i
(i = 1, 2, 3) determined from the boundary conditions
(see Haugh et al.10
for further details);
Pi(x) is the
PO2 in layer i as a
function of position x from the choriocapillaris;
L1 is the position of the
photoreceptor inner segmentouter segment boundary;
L2 is the position of the inner
segmentouter nuclear layer (ONL) boundary; L is the
position of the innerouter retinal boundary;
Q2 is the oxygen consumption of the
inner segment layer, between L1 and
L2; D is the diffusion
coefficient of oxygen in the retina; and k is the solubility
of oxygen.
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![]() | (2) |
| Results |
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To understand how these local oxygen measurements relate to blood flow, we must know the oxygen extraction per unit volume of blood. A high value of PC implies a high choroidal venous O2 saturation. A high venous saturation implies a low arteriovenous O2 saturation difference in the choroidal circulation. The relation between PC and the choroidal venous saturation (ScvO2, ml O2/100 ml blood) is determined by the hemoglobin saturation curve. The cat hemoglobin saturation curve does not fit the standard Hill equation well, and the relation used here was therefore obtained from experimental data.21 In large vessels the hematocrit is approximately 40 in cat, but, as in other microcirculations, the hematocrit in the choriocapillaris, where O2 exchange occurs, is lower than that in the large vessels.22 For the simulation, a choriocapillaris hematocrit of 20 was assumed. When PaO2 is 90 mm Hg and PC is 62 mm Hg, the arteriovenous saturation difference (SaO2 - ScvO2) in the choriocapillaris is only 0.82 volume %.
Implications for Choroidal Blood Flow
The local values for oxygen consumption and choriocapillaris
PO2 can be related to blood flow by the
Fick principle, which recognizes that O2
consumption for any tissue can be determined by a mass balance on
O2.23
For the particular case of the
outer retina and choroid
![]() | (3) |
![]() | (4) |
All the parameters in these equations (ChBF, QOR, PC, ScvO2) are linked, and it is therefore possible to derive other relationships among them. One function of interest is the dependence of QOR on ChBF (Fig. 3) . This closely matches experimental observations in cat.2 If ChBF were to decrease, more oxygen would be extracted per unit volume of choroidal blood, but this would lower PC, which would reduce QOR. In the choroid, an increased oxygen extraction can never fully compensate for a decreased flow rate, although there is a relatively flat region in Figure 3 over which changes in flow have relatively little impact on consumption.
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Light adaptation reduces photoreceptor QO2, and would be expected to provide some protection for the detached retina. The maximal decrease in QO2 is approximately a factor of two when illumination is at or above the level sufficient to saturate rod responses.10 11 A simulated oxygen profile during light adaptation is shown by the dashed line in Figure 5 . Until the detachment height is large enough that the PO2 at the trough of this profile decreases to zero, complete protection of retinal metabolism can be achieved, but this occurs at a detachment height of only approximately 50 µm, as shown in the lowest curve of Figure 6B . For larger detachments, light allows a larger percentage of the normal QO2 to be maintained than during darkness, but QO2 is still reduced to approximately 30% of normal. Hyperoxia is beneficial, just as in dark adaptation. In fact, if the predicted increase in PO2 in the retinal circulation is achieved, this alone would be sufficient to supply the light-adapted photoreceptors (top curve), which would make protection independent of detachment height.
| Discussion |
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High Choroidal Blood Flow
The simulations performed here allow a better understanding of the
performance of the choroid as the oxygen supply to the outer retina.
Starting from information about the oxygen demand of the
photoreceptors, we have shown that the ChBF rate should
theoretically be approximately 500 ml/100 g- minute, more than 10 times
the flow rate in the retinal circulation. This predicted value is below
the 1020 to 2600 ml/100 g-minute measured with microspheres and other
techniques,1
2
3
26
but our assumed values of
choroidal PO2 and outer retinal
oxygen consumption (QOR) are
conservatively low. If we had assumed
QOR to be 5 ml O2/100
g-minute, a value that has been observed in vivo,11
PC would have had to be 70 mm Hg, and
ChBF would have been 1250 ml/100 g-minute, within the range
of measured choroidal blood flow.
The shape of the function relating oxygen consumption to blood flow is relatively flat (Fig. 3) . There may be two ways to interpret this. First, to bring O2 consumption to maximal levels, flow values must be very high. Achieving the highest possible O2 consumption may not seem necessary but may be beneficial, because high rates of oxidative metabolism decrease the necessity for anaerobic glycolysis, resulting in less acid production. Alternatively, the flatness of this curve may be seen as protective. Choroidal blood flow is not tied directly to the inner segment metabolism, because it does not increase during hypoxemia,27 28 and it would be undesirable for changes in blood flow to influence photoreceptor metabolism. Relative independence of metabolism from flow rate is only possible when the blood flow rate is high.
The actual and predicted values are similar enough that we conclude that the choroidal circulation is not substantially overperfused, as has often been suggested.7 8 This does not rule out the possibility that the high blood flow may have additional functions, such as heat transfer9 29 and supply or removal of substances in addition to oxygen.
The simulations were all performed with the value of QOR observed in the dark-adapted retina. During light adaptation QOR is only half that in dark adaptation,10 11 and the metabolic requirement for high blood flow is not as great, although it would still be higher than in most circulations. During light adaptation PC does not change and the PO2 is well above zero in the outer retina,11 indicating that the flow does not decrease in response to the decreased metabolic demand. We can speculate that during illumination the high flow rate may assist in heat removal.9
Our analysis used parameter values specifically for cat retina, but we believe that the principles can be extrapolated to humans. Measurement of intraretinal PO2 is not feasible in humans, but the oxygen distribution in the monkey retina is similar to that in cat,17 and ChBF in the primate retina is comparable to that in cat.29 30
For the choroid, a high flow ratelow oxygen extraction system is necessary, because choriocapillaris PO2 must be kept high to maintain normal photoreceptor oxidative metabolism. A low flow ratehigh extraction system, such as those in the inner retina and the brain, would not be adequate. The essential factor controlling the requirement for high flow rate is the distance between the choroid and the photoreceptor inner segments. The relatively long diffusion distance requires a high PO2 at the choroid so that there is a steep enough O2 gradient (high enough flux) between the choroid and the inner segment layer. If the distance between the choroid and inner segments was smaller, choriocapillaris PO2 could be lower, oxygen extraction from the choroid could be larger, and ChBF could, therefore, be lower, even if photoreceptor QO2 remained the same.
Retinal Detachment
In retinal detachment, the distance from the choroid to the inner
segments increases. Even though there is no
O2-consuming tissue under the retina, the fluid
is an unstirred layer that reduces O2 flux from
the choroid to the inner segments. Debris in this space tends to make
the situation slightly worse, but is not likely to have much of an
effect, because O2 readily diffuses through
cells. Any stirring of subretinal fluid would make the situation
slightly better, because convection would enhance
O2 transport to the inner segments. After a
detachment, some convection may occur during eye movements,
particularly if the detached retina moves. Convection would also tend
to enhance the effectiveness of oxygen therapy.
Experimentally, photoreceptors in the detached retina lose outer segments and then undergo apoptosis, and Müller cells proliferate and become hypertrophic.31 Both photoreceptors and Müller cells exhibit biochemical changes. All these effects were reduced in animals with retinal detachments when they were made hyperoxic with 70% inspired oxygen.15 16 Diffusion of other substances and metabolites would certainly also be compromised in a detachment, but the work by Mervin et al.15 strongly suggests that oxygen plays the key role, and they suggested that hyperoxia could have a clinical benefit. The simulations reported here explain why oxygen is beneficial. Hyperoxia elevates both choroidal PO2 and inner retinal PO2,12 14 24 25 both of which allow greater oxygen delivery to the photoreceptor inner segments.
Theoretically, the effect of increased choroidal O2 in maintaining photoreceptor metabolism is most pronounced for small detachment heights (<500 µm). Increased O2 carried by the retinal circulation during hyperoxia is predicted to be important in maintaining photoreceptors, for all detachments, however, and this may be especially important during light adaptation. Little is known about the physiology of the retinal circulation during detachment, so quantitative predictions of this effect are difficult to make. The benefit of hyperoxia probably lies between the two upper curves in Figure 6A or 6B.
The minimal level of QO2 needed to prevent photoreceptor apoptosis is unknown. At least two factors probably help photoreceptors survive in the absence of oxygen therapy. First, all photoreceptors deconstruct outer segments during a detachment,15 which should reduce the major energy-consuming processespumping of Na+ that usually enters through the light-dependent channels in the outer segments and cyclic nucleotide turnover in the outer segments.32 33 Second, after some photoreceptors are lost, the available oxygen would have to be shared by fewer of them, so the QO2 of each remaining photoreceptor should be closer to normal.
Our analysis has focused on increased retinal oxygenation through the retinal and choroidal circulations. Attempts have been made to increase ocular oxygenation by blowing oxygen across the cornea as well. In the absence of oxygen breathing, this was effective in oxygenating the aqueous,34 35 but preretinal PO2 in rabbits was elevated only after lensectomy and vitrectomy.35 We cannot model this case exactly, but it is likely that the O2 gradient from the cornea to the retina would be too shallow to allow significant oxygen flux to the retina. When combined with oxygen inspiration, elevated corneal oxygen would probably provide little benefit. Because of the rich vasculature of the iris and ciliary body, an increase in inspired oxygen should eventually result in an increase in PO2 in the vitreous, regardless of what is happening at the cornea.
Clinical Issues
In many retinal detachments, the defect in the retina is
peripheral, but the detachment gradually spreads centrally, eventually
reaching the macula.36
When macular involvement begins,
the detachment height in that region must be small, and therefore
elevated choroidal O2 would be most beneficial
during this time. Choroidal PO2 can be
elevated by inspiration of increased concentrations of
O2. Of course, the foveal photoreceptors benefit
very little from increased oxygenation through the retinal circulation.
Therefore, it seems important to treat foveal detachments with inspired
O2 and timely surgical repair before the
detachment height is too great. Similarly, after surgery, elevated
choroidal O2 could maintain photoreceptor
function until the pumping of subretinal fluid by the retinal pigment
epithelium has allowed the retina to reattach fully. Although the
macula is the most important region for vision, any detached area could
benefit from O2 therapy before and immediately
after reattachment surgery.
These simulations suggest that hyperoxia probably cannot allow completely normal amounts of oxidative metabolism in the photoreceptors during most detachments. It may be preferable to restore QO2 partially rather than fully, to minimize acidosis and buildup of other metabolites. Oxygen cannot be stored, and brief periods of O2 therapy are therefore not likely to be useful. Instead, we recommend that continuous or nearly continuous inspiration of elevated O2 be instituted as soon as a detachment begins to affect the macula, if not earlier. Elevated O2 levels should be maintained until the macula reattaches after surgery, rather than ended immediately after surgery. There should be no concern about the vasoconstriction of the retinal circulation caused by hyperoxia, because the inner retina should be at least as well oxygenated during hyperoxia as during normoxia.12 25 The illumination during oxygen therapy should be considered. We predict that moderate illumination can be beneficial because it decreases photoreceptor metabolism, but it is also known that oxygen can potentiate light damage in response to strong illumination.37 Inspiration of 100% O2 is not feasible, because of its toxicity to the lung, but 50% to 60% O2 can be tolerated for long periods.38 39 This level is not likely to cause permanent injury to the attached portion of the retina, based on the limited available literature.40 41 We anticipate that such a regimen would preserve photoreceptors and may thereby improve visual outcome after reattachment surgery.
| Acknowledgements |
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| Footnotes |
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Submitted for publication January 24, 2000; revised April 14, 2000; accepted April 26, 2000.
Commercial relationships policy: N.
Corresponding author: Robert A. Linsenmeier, Biomedical Engineering Department, Northwestern University, 2145 Sheridan Road, Evanston, IL, 60208-3107. r-linsenmeier{at}northwestern.edu
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