Page S1 of S4 Supplementary material Supplementary to the Methods Calibration constants a and b Schweitzer et al.6 used imaging spectroscopy to measure oxygen saturation of human whole blood in vitro and in vivo and found that mean oxygen saturation of retinal arterioles and venules was 92.2% and 57.9%, respectively. The calibration of a and b (equation 3 in the paper) for Oxymap T1 was achieved by matching the optical density ratios from healthy individuals measured with Oxymap T1, with the oxygen saturation measurements from Schweitzer et al. That resulted in the calibration constants a=-1.1755 (previously -0.953 with the Oxymap Analyzer software 2.2.1, version 3847) and b=1.1917 (previously 1.16). Previously, Palsson et al.43 used the same version of the Oxymap Analyzer software but the former calibration constants. Correction factor for vessel diameter For determination of a correction factor for vessel diameter, 21 eyes from 21 healthy persons aged 18-40 years old were analyzed. The main superotemporal arteriole and venule from each eye were analyzed at the bifurcation of the vessels from the primary branch (pri) to the secondary branches (sec). Vessel segments 20-50 pixels in length were analyzed on both sides of the bifurcation and a 15 pixel exclusion mark was placed at the top of the bifurcation. Assumption was made that oxygen saturation (SatO2) was the same on both sides of the bifurcation for both arterioles and venules (although for venules this might not be entirely true but sufficiently close for this purpose). Therefore, we can assume that the mean oxygen saturation of the secondary branches (sec1, sec2) is equal to the oxygen saturation of the primary branch (pri): SatO2(cor , pri) SatO2(cor ,sec1) SatO2(cor ,sec 2) (S1), 2 where SatO2(cor) is the oxygen saturation after correction for vessel diameter for primary (pri) and secondary (sec) branches. To correct for vessel diameter we used the following equation: SatO2(cor ) k * (d d ) SatO2(uncor) (S2), where k is the correction factor, d is the vessel diameter, d is the mean vessel diameter, and SatO2(uncor) is the measured oxygen saturation without correction. The mean diameter ( d ) was 11.24 pixels for arterioles and 14.46 pixels for venules. These values were used to calculate the deviation in diameter. For each pixel, by which a vessel was wider than the mean, 1.16 Page S2 of S4 percentage points were added to the saturation value (and vice versa for vessels narrower than the mean). Combining equations S1 and S2 and solving for k results in: k SatO2(uncor,sec1) SatO2(uncor,sec 2) 2 * SatO2(uncor, pri) 2 * d pri dsec1 dsec 2 (S3). Equation S3 was used to calculate k for each healthy eye and the median of the 21 eyes was 1.17% per pixel for arterioles and 1.15% per pixel for venules. As the numbers for arterioles and venules were within the standard deviation of each other, we decided to average them to the number of 1.16% per pixel for both arterioles and venules. In summary, the original oxygen saturation values from the oximeter software were recalculated to incorporate the new calibration constants as well as the vessel diameter correction factor. This was done for every vessel measured for all the participants in the present study (n=120). Page S3 of S4 Supplementary to the Results Three models of oxygen saturation In the first linear regression model (A1, V1, AV1), we included only age and gender variables. As we noticed the different slopes of males and females with age, we included the interaction between age and gender in the second model (A2, V2, AV2) in order to test if age had different effects in the two genders. In the third model (A3, V3, AV3) we included all available variables for the subjects. Table 1: The results of additional three models of multiple linear regression models for (a) arterioles (models A1, A2, and A3), (b) venules (V1, V2, and V3), and (c) arteriovenous difference (AV1, AV2, and AV3) (n=116). The linear regression equation for each model is shown in the appropriate heading and the coefficients are named accordingly. (a) Arterioles Variable Estimate Standard Error p-value Model A1: Multiple linear regression for age and gender with no interaction between age and gender. Oxygen saturation = a0 + a1 * age + a2 * gender (Intercept) 90.7 (a0) 1.16 <0.0001 Age (years) 0.0012 (a1) 0.021 0.95 Gender (males=0; females=1) 2.44 (a2) 0.69 0.0006 Model A2: Multiple linear regression for age and gender with interaction between age and gender. Oxygen saturation = b0 + b1 * age + b2 * gender + b3 * age * gender (Intercept) 92.7 (b0) 1.66 <0.0001 Age (years) -0.038 (b1) 0.031 0.23 Gender (males=0; females=1) -0.74 (b2) 2.07 0.72 Age:Gender (years; males=0; females=1) 0.068 (b3) 0.042 0.11 Model A3: Multiple linear regression of all variables with no interaction between age and gender Oxygen saturation = c0 + c1 * age + c2 * gender + c3 * smoker + c4 * pulseox + c5 * perfusion (Intercept) 59.8 (c0) 27.7 0.033 Age (years) -0.018 (c1) 0.023 0.45 Gender (males=0; females=1) 2.58 (c2) 0.69 0.0003 Current smoker (non-smoker=0; smoker=1) -1.23 (c3) 1.02 0.23 Finger pulse oximetry (pulseox; %) 0.28 (c4) 0.28 0.33 Ocular perfusion pressure (perfusion; mmHg) 0.097 (c5) 0.041 0.020 Adjusted R2 for models A1, A2, and A3 were 0.086, 0.099, and 0.13, respectively. Page S4 of S4 (b) Venules Variable Estimate Standard Error p-value Model V1: Multiple linear regression for age and gender with no interaction between age and gender. Oxygen saturation = a0 + a1 * age + a2 * gender (Intercept) 58.1 (a0) 1.82 <0.0001 Age (years) -0.12 (a1) 0.033 0.0004 Gender (males=0; females=1) 4.4 (a2) 1.09 <0.0001 Model V2: Multiple linear regression for age and gender with interaction between age and gender. Oxygen saturation = b0 + b1 * age + b2 * gender + b3 * age * gender (Intercept) 61.6 (b0) 2.60 <0.0001 Age (years) -0.19 (b1) 0.050 0.0003 Gender (males=0; females=1) -1.21 (b2) 3.25 0.71 Age:Gender (years; males=0; females=1) 0.12 (b3) 0.066 0.069 Model V3: Multiple linear regression of all variables with interaction between age and gender Oxygen saturation = c0 + c1 * age + c2 * gender + c3 * smoker + c4 * pulseox + c5 * perfusion (Intercept) -11.0 (c0) 44.4 0.81 Age (years) -0.13 (c1) 0.038 0.001 Gender (males=0; females=1) 4.43 (c2) 1.11 0.0001 Current smoker (non-smoker=0; smoker=1) 0.29 (c3) 1.64 0.86 Finger pulse oximetry (pulseox; %) 0.66 (c4) 0.45 0.15 Ocular perfusion pressure (perfusion; mmHg) 0.12 (c5) 0.066 0.065 Adjusted R2 for models V1, V2, and V3 were 0.23, 0.25, and 0.25, respectively. (c) Arteriovenous difference Variable Estimate Standard Error p-value Model AV1: Multiple linear regression for age and gender with no interaction between age and gender. Oxygen saturation = a0 + a1 * age + a2 * gender (Intercept) 32.6 (a0) 1.60 <0.0001 Age (years) 0.12 (a1) 0.029 <0.0001 Gender (males=0; females=1) -1.98 (a2) 0.96 0.042 Model AV2: Multiple linear regression for age and gender with interaction between age and gender. Oxygen saturation = b0 + b1 * age + b2 * gender + b3 * age * gender (Intercept) 31.1 (b0) 2.32 <0.0001 Age (years) 0.15 (b1) 0.045 0.001 Gender (males=0; females=1) 0.48 (b2) 2.89 0.87 Age:Gender (years; males=0; females=1) -0.053 (b3) 0.059 0.37 Model AV3: Multiple linear regression of all variables with interaction between age and gender Oxygen saturation = c0 + c1 * age + c2 * gender + c3 * smoker + c4 * pulseox + c5 * perfusion + c6 * age * gender (Intercept) 71.5 (c0) 39.7 0.074 Age (years) 0.14 (c1) 0.047 0.0039 Gender (males=0; females=1) 0.66 (c2) 2.94 0.82 Current smoker (non-smoker=0; smoker=1) -1.47 (c3) 1.46 0.32 Finger pulse oximetry (pulseox; %) -0.40 (c4) 0.41 0.33 Ocular perfusion pressure (perfusion; mmHg) -0.024 (c5) 0.059 0.69 Age:Gender (years; males=0; females=1) -0.053 (c6) 0.059 0.37 Adjusted R2 for models AV1, AV2, and AV3 were 0.17, 0.17, and 0.16, respectively.