All image data were saved as raw echo intensities and were transferred to a workstation for further processing. Images for each coil of the eight-channel phased array coil were reconstructed offline with custom tools developed in the IDL programming environment. The data for each coil were averaged for all the repetitions, and the resulting average was phase corrected. A near-optimal combination of the complex coil image data was achieved by sum of squares of individual coil images weighted by the coil sensitivity ratios derived from smoothing the non–background-suppressed image with a 9 × 9 Gaussian filter.
31 This method decreased the bias due to the rectification of negative noise contributions in the reconstructed perfusion images. Baseline detrending was not a necessary preprocessing step for ASL perfusion data as drift effects are minimized in ASL. This is primarily a result of successive pair-wise subtraction between images acquired with and without labeling.
32
Images of all subjects were analyzed with the same procedure. The ASL perfusion images were co-registered to the anatomic reference scan and analyzed in ImageJ (
http://rsb.info.nih.gov/ij/ developed by Wayne Rasband, National Institutes of Health, Bethesda, MD). For each breathing period, images free of motion artifacts were averaged, to improve the signal-to-noise ratio. Rectangular regions of interest (ROIs) were defined similarly for both eyes. An ROI of 1 to 1.25 cm in length along the retina (based on the subject) and 2.5 mm in width and 10 mm in depth (imaging slice thickness) centered on the fovea was defined. After definition of the retinal ROIs, they were overlaid on the reference anatomic image to confirm location at the posterior edge of the eye.
12 For each ROI, the flow was calculated as the flow per unit surface area to make the measurement independent of the ROI width and the resolution. Basically, by converting to μL/mm2/min, the impact of partial volume perpendicular to the retina was negated.
12 Microsphere studies
33 suggest a rapid decrease in flow with distance from the fovea, and there is partial volume impact in this direction that was uncorrected because of the absence of a model for this change.
Blood flow was quantified in a single-compartment model,
12,34 in which the observed signal is considered to come from a well-mixed tissue compartment with intra- and extravascular water in perfect communication:
where
M 0 is the equilibrium brain tissue magnetization;
f is blood flow; λ is the blood/tissue water partition coefficient;
R 1a is the longitudinal relaxation rate of blood; α is the inversion efficiency;
R 1 is the longitudinal relaxation rate of the retinal tissue in the absence of blood flow; δ is the transit time from the labeling region to the tissue compartment (exchange time); τ is the labeling duration; and
w is the delay introduced between the end of the labeling pulse and image acquisition, to minimize transit time artifacts.
35 We assumed a labeling efficiency of 0.85; however, as inversion pulses used for background suppression also attenuate the ASL signal, an additional loss of efficiency of 75% was accounted for in the flow quantification.
36 We assumed the average brain value of 0.9 g/mL to apply to the retina.
37 Although λ for the retina is uncertain, most neural and vascular tissues have λ between 0.8 and 1,
37 and so the error should not be extreme. We also used
R 1a = 0.67 seconds
−1.
38 The signal intensity in the retina was normalized to the intensity of the vitreous in an unsuppressed reference image. The water density of the vitreous is close to 100%, and so it serves as a reference for sensitivity to water. We assumed average values of δ = 1.1 second and
R 1 = 0.76 seconds
−1 for all subjects who were estimated in our previous study.
39
Changes in blood flow values between respective ROI in the images obtained at baseline and the images obtained during the hyperoxic and hypercarbic inhalation challenges were compared by using analysis of variance (ANOVA) and the Tukey honest significant difference (HSD) post hoc test to determine the significance of any change between different states, at the level of P < 0.05 (analyses performed in Statistica 6.0; StatSoft, Tulsa, OK).
Ventilation with high O
2 concentrations has been shown to decrease T
1 in blood. The decrease of T
1 in blood depends strongly on the fraction of dissolved O
2 in solution and is dependent only on the P
o 2, and independent of the hemoglobin content.
40 Reduction of the blood relaxation rate as a result of increased P
o 2 was modeled according to in vitro results reported in Janne d'Othée et al.,
40 where the relationship between blood T
1 and percentage of O
2 in the gas mixture is found to be linear and almost independent of the field strength. At 8.45 T and 100% O
2, there is a 22.5% reduction of the blood T
1 value compared with the reduction of the blood T
1 in room air (20% O
2). At 1.5 T the reduction is 25.7%. We selected a similar reduction of 25.7% for the 3.0 T analysis.