One of the purposes of this study was to develop a new method for examining the dynamics of tear secretion and tear turnover from the inferior tear meniscus that quantified both the height of the inferior meniscus and its fluorescence intensity from each image. To control eye movements, all frames in each video were registered by the black marker on the lower lid (After Effects; Adobe, San Jose, CA, USA). A customized MATLAB program was used to create a rectangular region of interest (ROI) centered on the lower meniscus (
Fig. 1A) or moved slightly nasally to avoid any bright reflections, if present. A pixel intensity curve was computed for each vertical column across the ROI. In order to use the information from all the columns in each image and remove the tilt of the meniscus across the ROI, the intensity curve of each column was cross-correlated and vertically aligned with the first column, and then all columns were averaged. This allowed us to summarize the information from a two-dimensional image into a one-dimensional matrix (
Fig. 1B). Use of all columns across the ROI of an image increased the signal strength (detection of the TMH) and decreased the image noise, such as fluorescein spots spilled on the lower lid (
Fig. 1B, arrow). Fluorescence intensity was converted into a false color scale where blue represents low pixel intensity and red represents high pixel intensity (
Fig. 1C). This same analysis was performed for every image in the trial and a color map was generated, allowing visualization of the TMH and fluorescein intensity over time (
Fig. 1D).
The TMH was determined when fluorescence intensity exceeded a criterion level within each image. This criterion was chosen as the minimal pixel intensity that provided a stable estimate of the tear meniscus edges during the prestimulus period (edge variability was ≤2 pixels for upper edge and ≤4 pixels for the lower edge). The lower edge criterion value was higher due to the frequent spillover of tears onto the lower lid, rendering those data more noisy than for the upper edge of the meniscus that abutted the cornea (
Fig. 1B, arrow). The TMH increase was measured within each trial (
Fig. 2A). We also measured the time when the TMH began to increase after air stimulus was initiated (defined as an increase of 1/10 of the maximum TMH increment for that trial,
Fig. 2A, black star).
During each trial, fluorescein concentration declined as newly secreted tears entered the meniscus and drained out through the canaliculi. However, tracking fluorescence intensity to monitor new tear secretion can potentially be complicated by fluorescence quenching and the nonmonotonic relationship between concentration and intensity (see
Fig. 3B).
36,56,57 For that reason, we calculated the tear meniscus fluorescein concentration (TMFC) from intensity based on a previously established mathematical model
56,57:
where
I is the fluorescein intensity, which was standardized by the maximum intensity within each subject;
k is a constant equal to 1;
f is fluorescein concentration (%);
f0 is the critical fluorescein concentration (0.2%),
a is a molar extinction coefficient (7.6*10
4 cm
−1 M
−1),
h is the film thickness (cm), and
w is molecular weight of fluorescein (376 g/M). The highest fluorescein intensity value within each image should occur at the location of greatest film thickness (meniscus depth), and thus was used in this calculation. The tear meniscus depth (
h) was not measured directly, but was estimated from the TMH using an average ratio (1.56) based on previously published TMH and depth data.
33,58–60
Equation 1 shows that a given fluorescein intensity yields two fluorescein concentrations: one in the dilute regimen and the other in the quenching regimen (
Fig. 3B). Because the fluorescein concentrations should decrease over time only as new tears are secreted and tears drain, the initial fluorescein concentration value was determined from the initial fluorescein intensity and the direction of intensity change over time. As
Figure 2B shows, we calculated the TMFC decrease over the trial and the time when TMFC started to decline (decrease to 1/10 of its maximum change within the trial,
Fig. 2B, black star). Images with tear film fluorescence too low to analyze were excluded from this analysis.
To minimize the effect of blinking on measurements of tear secretion, we developed a novel metric (
Figs. 2C–D) based on calculating the slope of the fluorescein concentration change within each IBI. This metric was adapted from fluorophotometry,
35,38 in which the changing slope of the fluorescein concentration over time indicates the tear turnover rate (TTR).
35,37 Theoretically, the TTR will be heavily influenced by the blink rate, presumably due to increased tear drainage.
61 Therefore, in this study, TTR was measured during each interblink interval (IBI-TTR), thus enabling comparison of tear secretion rates among subjects who blinked at different rates.
In order to validate the TMFC calculations
62 and to check the calibration of our slit-lamp biomicroscope imaging system, we constructed an eye model to mimic the lower tear meniscus. The eye meniscus model curvature of the upper sphere (mimicking the cornea) was 7.8 mm and of the lower sphere (mimicking the lower lid) was 12 mm, creating an angle of 76.5°.
34 Two microliters of 48 fluorescein concentrations (from 0.001 to 1%) were pipetted into the eye model meniscus and imaged under the same experimental conditions as for the human subjects in this study.