|
|
||||||||

,
,1
* Laboratory for Optical Sensing and Monitoring, Center for Biomedical Engineering,
Department of Anesthesiology, and
Department of Neuroscience and Cell Biology, University of Texas Medical Branch, Galveston, TX 77555-0456
1To whom requests for reprints should be addressed at Laboratory for Optical Sensing and Monitoring, Center for Biomedical Engineering, University of Texas Medical Branch, 301 University Blvd., Rt. 0456, Galveston, TX 77555-0456. E-mail: riesenal{at}utmb.edu
| Abstract |
|---|
|
|
|---|
Key Words: diabetes glucose monitoring optical coherence tomography
| Introduction |
|---|
|
|
|---|
At the present time, two types of glucose sensors are under development: minimally invasive and noninvasive. Minimally invasive sensors are based on analysis of tissue interstitial fluid. Most of the noninvasive methods use optical signals (24). One of them, optical coherence tomography (OCT), is a promising technique for blood [glu] monitoring (57).
OCT, a nondestructive technique that examines the internal structure of superficial layers of biological tissues, is based on interferometric recording of near-infrared light backscattered from the object. Backscattered light is collected, measured, and integrated to assemble an image. Initially, OCT was successfully applied to imaging alterations in ocular tissues (8, 9). Subsequently, OCT has been widely used in medical studies for high-resolution visualization of the internal structures of the superficial layers of epithelial tissues in humans and animals (1012). Many pathological processes, such as dysplasia and cancer, alter the typical layered structure of healthy tissue, and these changes can be detected by OCT (13). High-resolution OCT imaging techniques can ensure in vivo observation (monitoring) of the state of internal tissue structures in humans and animals (14).
Previous studies have quantified alterations in the optical parameters of tissues produced by changes in hydration (15) and temperature (16, 17) and by the addition of chemical agents (1820). Variations of these factors produced changes in the light-scattering properties of tissues. Likewise, increases in blood [glu] decreased the total light-scattering coefficient in tissues as a consequence of better refractive index matching between intracellular and extracellular components (3).
Recent in vivo and in vitro experiments demonstrated that OCT detects tissue changes induced by variation of [glu] within the usual pathophysiological range (330 mM; 54540 mg/dl; Refs. 57). Normal fasting blood [glu] is less than 110 mg/dl, with increases to 150180 mg/dl shortly after eating. In critically ill patients, the maintenance of [glu] at 80110 mg/dl was associated with improved mortality in comparison with those with wider [glu] fluctuation (21). Previous in vivo studies illustrated that the slope of the OCT signal strongly correlates with [glu] when the probing beam is scanned laterally over a straight line (5, 6). It was also reported in a pilot study that changes in blood pressure, heart rate, hematocrit (Hct), surgical procedure, and anesthesia did not influence the correlation of the OCT signal slope with blood [glu] (7). Equally important, theoretical calculations were confirmed in vitro that suggest that changes in the refractive index produced by changes in [glu] considerably exceed changes in the refractive index produced by changes in other analyte concentrations within the physiological range (22). However, in vivo changes in the concentrations of other analytes, especially the concentration of sodium ([Na+]), may sufficiently alter osmolality so that the hydration of individual tissue layers may change. The associated changes in backscattering produced by these osmotic effects could also influence measurements of [glu].
In the present study, we investigated the influence of large acute changes in blood [glu] on the OCT signal in vivo and the influence of large acute changes in [Na+]. We also studied the influence of other agents such as [Cl], [K+], and urea on measurement of blood [glu] using OCT.
| Materials and Methods |
|---|
|
|
|---|
We studied 13 young (age, 34 mos) female pigs weighing 2025 kg. In seven pigs, we intravenously injected 7.7% saline (NaCl) solution ([Na+] 1317 mEq/l; normal blood [Na+] ~ 40 mEq/l), followed at least 4060 mins later by injection of 50% glucose solution (50% dextrose; Abbot Laboratories, North Chicago, IL) intravenously ([glu] 50 g/dl; normal blood [glu] ~100 mg/dl). In two pigs, we injected glucose first, followed at least 4060 mins later by 7.7% NaCl. Of the remaining four pigs, one served as a control (no injections), two received only 7.7% NaCl, and one received only glucose.
The OCT images were obtained from the skin in the abdominal area and were converted into the OCT signals by averaging the in-depth (z-axial) scans. The OCT signals in logarithmic scale were used in subsequent calculations of the OCT signal slopes. The 2-D lateral (x and y) scanning mode of the OCT probe beam was used to calculate the OCT signal slopes at different depths. The OCT signal slope was calculated using least squares linear approximation of the OCT signal segment with a length of 70 ± 20 µm: y = ax + b, where a and b are coefficients of linear regression and a was used for estimation of the OCT signal slope value (Fig. 1
). The length of approximated segments was roughly equal to the half-distance between collagen bundles in skin, which varied among pigs and occasionally within a single pig. The distance between collagen bundles was verified by standard hematoxylin-eosin (H&E) histology. In every pig, we calculated dependence of the OCT signal slope versus time in the segments with a step 2040 µm (segments overlapped) from the epidermis and to the dermis-hypodermis junction. We analyzed changes in the OCT signal slope versus time and calculated the correlation coefficient (R) between the OCT signal slope and blood [glu]. For calculating the correlation coefficient, we smoothed the OCT signal slope versus time using Fourier filtration technique. We calculated the correlation coefficient at different time delays between the OCT signal slope and blood [glu]. We considered that the correlation between the OCT signal slope and [glu] was absent if the absolute value of the correlation coefficient (|R|) was less than 0.7 (24), which took into account only segments in which the absolute value of the statistically significant (P < 0.05) correlation coefficient was greater than 0.7. We determined the lag time between changes in the OCT signal slope and blood [glu] as time delay that gave the maximal correlation coefficient. For comparison with histological cuts, we used the 1-D lateral scanning mode because the 2-D mode blurred small details on the OCT images due to averaging.
|
By design, we induced rapid large physiologically relevant acute changes in [Na+] and [glu] to assess the response of the OCT signals. Hyperosmotic NaCl (7.7%) was infused intravenously during 815 mins using a digital pump at a rate of 2.43.8 ml/min. As a result, blood [Na+] concentration increased rapidly from a baseline level of approximately 133143 mM (range, 613 mM).
The glucose infusion was performed not earlier than 4060 mins after the NaCl infusion. Glucose solution (50%) was injected at a rate of 2.43.8 ml/min for approximately 30 mins. Blood [glu] increased from approximately 8090 mg/dl to approximately 400 mg/dl.
Our experimental sequence was designed to progressively increase our knowledge of changes in the OCT signal slope associated with changes in analyte concentrations. In our first experiment, we used one anesthetized pig to estimate the expected physiological changes in various analytes and their influences on the OCT signals. In the second experiment, we infused 80 ml of 50% glucose. In Pigs 3 and 4, we injected 60 ml of 7.7% saline. In Pigs 5 and 6, after injecting 45 ml of 7.7% saline, we injected 80 ml of 50% glucose solution. In Pigs 7 through 11, we injected 30 ml of 7.7% saline and 100 ml of 50% glucose solution. In two pigs (Pigs 12 and 13), we administered 115 ml of 50% glucose before injection of 35 ml of 7.7% saline.
To estimate reproducibility of the OCT method for blood glucose monitoring, we induced two acute changes in [glu] in two pigs. The [glu] was consequently increased by 376 mg/dl (from 69445 mg/dl) and then by 320 mg/dl (from 153473 mg/dl) in the first pig. In the second pig, the increase of [glu] was by 256 mg/dl (from 92348 mg/dl) and then by 308 mg/dl (from 130438 mg/dl).
During the experiment, the OCT device was continuously operating in the 2-D lateral scanning mode for speckle averaging. However, during individual blood sampling, we used the 1-D lateral scanning mode for comparing the OCT images with histology.
Pigs were killed at the end of the experiment under deep isoflurane anesthesia by intravenous injection of 0.4 ml/kg of saturated KCl solution. Immediately after death, the scanned area of the skin was marked using a tissue marking dye (Triangle Biomedical Sciences, Inc., Durham, NC) that is preserved during staining procedures. The marked tissue site was sectioned and stained by H&E.
| Results |
|---|
|
|
|---|
|
|
However, the relative changes in the OCT signal slopes induced by variation of [glu] were much greater than changes due to [Na+] variation. The relative changes in the OCT signal slopes were calculated as the percentage of baseline and were correlated with [glu] and [Na+] variations of 10 mM (180 mg/dl) (Table 1
). The averaged relative [glu]-induced changes in the OCT signal slope were 5-fold greater than changes in the OCT signal slope associated with [Na+] variation (Fig. 3
). Thus, this method is sufficiently sensitive to measure blood [glu] in the physiological range of 70570 mg/dl (range, 3.931.7 mM), as long as [Na+] remains constant or as long as changes in the OCT signal slope caused by changes in [glu] are compensated for changes induced by [Na+] variation.
|
The sequence of individual experiments provided considerable information. In our first anesthetized pig, during 5 hrs of anesthesia, no concentration of any analyte substantially changed except [glu], which varied from 7797 mg/dl. Those changes are well within the normal physiological range. [Na+] variation did not exceed 3 mM. In the absence of substantial changes in blood concentrations of other osmolytes, we observed no correlation with the OCT signal slope.
In the second experiment, we infused only glucose and observed a strong correlation between the OCT signal slope and blood [glu] (R = 0.82) at a depth of 180236 µm. This layer corresponded to the dermis-epidermis junction and had high vascularization by capillary blood vessels. The pig had unusually thick skin (>800 µm), and it was impossible to visualize the dermis-hypodermis junction, where the best correlation was observed in other pigs.
In the next four pigs (Pigs 36), infusion of 7.7% saline increased [Na+] by a mean of 16 ± 4.2 mM (range, 1120 mM) from the baseline. In Pigs 5 and 6, the correlation coefficients between the OCT signal slope and blood [glu] were 0.76 and 0.75, respectively. In Pigs 7 through 11, blood [glu] correlated more strongly with the relative OCT signal slope (correlation coefficient range, 0.95 to 0.98; |R|, 0.88 ± 0.08 in the four pigs). The strongest correlations were observed in several dermis layers and near the dermis-hypodermis junction. In these pigs, before glucose infusion the [Na+] was increased by no more than 8 mM.
In Pigs 12 and 13, in which 50% glucose was infused before 7.7% saline, the OCT signal slopes correlated with [glu] and [Na+] at several depths (Table 1
). Correlations between the OCT signal slopes and [glu] and [Na+] were not influenced by the order of injection (i.e., glucose before saline or saline before glucose).
Figure 4
shows typical results of experiments on reproducibility of the OCT blood glucose monitoring. In the first pig, the correlation of the OCT signal slope with [glu] was observed near the dermis-hypodermis junction (570 µm) at the depths of 480545 µm and 505570 µm. At the depths of 480545 µm, the correlation coefficients between the OCT signal slope and [glu] and the lag times (T) were as follows: R1 = 0.92 (P < 0.01), T1 = 8 mins for the first peak; R2 = 0.91 (P < 0.01), T2 = 8 mins for the second peak; and Rt = 0.78 (P < 0.01), Tt = 8 mins for the whole experiment. At the depths of 505570 µm, the correlation coefficients and the lag times were R1 =0.95 (P < 0.01), T1 = 8 mins; R2 =0.83 (P < 0.01), T2 = 8 mins; and Rt = 0.71 (P < 0.01), Tt = 8 mins. In this case, the relative change in the OCT signal slope with [glu] was 17% per 180 mg/dl (10 mM) for the first peak and 16% per 180 mg/dl for the second peak. In the second pig, the correlation was observed near the papillary-reticular junction (90 µm) and the dermis-hypodermis junction (545 µm) at the depths of 110175 µm and 480545 µm, respectively. At the depths of 110175 µm, the correlation coefficients and the lag times were R1 =0.77 (P < 0.01), T1 = 11 mins; R2 = 0.70 (P < 0.05), T2 = 15 mins; and Rt =0.66 (P < 0.01), Tt = 12 mins. In this case, the relative change in the OCT signal slope with [glu] was 26% per 180 mg/dl for the first peak and 29% per 180 mg/dl for the second peak. At the depths of 480545 µm, the correlation coefficients and the lag times were R1 = 0.86 (P < 0.01), T1 = 2 mins; R2 = 0.72 (P < 0.05), T2 = 5 mins; and Rt = 0.72 (P < 0.01), Tt = 3 mins. In this case, the relative change in the OCT signal slope with [glu] was 10% per 180 mg/dl for the first peak and 8% per 180 mg/dl for the second peak. At the other depths, the correlation of the OCT signal slope with [glu] was not observed.
|
|
|
| Discussion |
|---|
|
|
|---|
Experimental variation of [Na+] that exceeded the usual physiological ranges reduced the correlation coefficient between the OCT signal slope and blood [glu]. However, the order of injection (i.e., 50% glucose before 7.7% saline or vice versa) did not apparently influence the sensitivity of the OCT monitoring of [glu]. In other experiments in which [Na+] variation did not exceed the usual physiological range, the correlation of the OCT signal slope with blood [glu] was sufficiently great and was observed in several skin layers. We confirmed the limited influence of high [Na+] on the sensitivity of the OCT glucose monitoring in several experiments (Pigs 713), when the [Na+] changed within a wider range (128138 mM). In these experiments, the ranges of concentrations of other analytes were smaller, and the correlation coefficients between blood [glu] and the OCT signal slopes were as high as 0.9. The relative changes induced in the OCT signal slopes by variation of [glu] ranged from 0.94.0 times the changes in the OCT signal slope induced by equimolar changes of [Na+], with a mean of 2.26 ± 1.15 for the eight animals studied (Pigs 613).
The relative changes in the OCT signal slope induced by increasing [glu] to 10 mM (180 mg/dl) ranged from 8%44%, in comparison with 4.9%25% changes induced by changing [Na+] by 10 mM. Assuming that diurnal variations of [Na+] usually averaged 12 mM and that clinically important variations in [glu] would exceed 30 mg/dl, we conclude that precise monitoring of [glu] using OCT may require correction of [glu] estimates for changes in [Na+]. The changes in the OCT signal slope per 1 mM of [glu] were different, which indicated the necessity of the OCT system calibration for each patient (a limitation factor for OCT-based glucose monitoring).
Secondary changes in [K+], Hct, PCO2, pH, and urea that were produced by infusion of 7.7% saline or 50% glucose did not significantly influence the sensitivity of the OCT [glu] monitoring. Alterations of [Cl], which were primarily changed by infusion of 7.7% saline, had less influence than [glu] or [Na+]. During 7.7% saline injections, [Cl] correlated with the OCT signal slopes in five of 12 experiments. Only in one experiment (Pig 13) was there a correlation of the OCT signal slope and biochemical variables other than [glu], [Na+], and [Cl].
Despite the promising results obtained with the OCT method of monitoring [glu], some technical difficulties must be resolved. Most important, the strong correlation coefficients (|R| > 0.7) between the OCT signal slopes and [glu] were observed only at specific layers, which varied among pigs, and the OCT signal slopes could correlate either positively or negatively with changes in [glu]. The principles governing these correlations must be determined.
Most often, the strongest correlations between the OCT signal slopes and [glu] were observed in two skin regions: near the papillary-reticular border of the dermis and at the dermis-hypodermis junction. The high vascularity of these regions could explain the better and more rapid equilibration between blood [glu] and interstitial [glu]. However, the major mechanism underlying the correlation between the OCT signal slopes and blood osmolytes concentration is controversial. Two hypotheses have been advanced to explain the correlation. The first hypothesis is based on the fact that changes in osmolyte concentration result in aligning of the mismatch of refractive indices of extracellular and intracellular components and therefore decrease the scattering coefficient of tissue (3, 29). This hypothesis was used to explain the correlation between the OCT signal slope and [glu] in a previous pilot study (5). The second hypothesis is based on morphological changes in tissue. Possibly, the osmotic influence of changing [glu] causes shrinkage or expansion of the dermis. Therefore, the shift of tissue layers (collagen fibers) may result in changes in the OCT signal slope with [glu] at a certain depth. In addition, the OCT signal slope may be affected by dehydration, leading to more dense packing of scattering constituents, for example, collagen fibers (30, 31). The similar [glu]-induced osmotic effect producing reabsorption of fluids in the proximal tubule was shown by Weinstein et al (32). We directly measured the shrinkage of dermis using the OCT images obtained in the 2-D lateral scanning mode and found a strong correlation (|R| > 0.7) in 75% of experiments between dermis thickness and variation of blood [glu]. These data indicate that the [glu]-induced osmotic effects are significant.
The other technical problem confronting noninvasive monitoring of blood [glu] by OCT is the substantial lag time between changes in the OCT signal slope and blood [glu]. Using OCT, we measured changes in blood [glu] indirectly by detecting the influence of [glu]-induced changes in interstitial fluid on the skin optical properties. The lag time was as long as 30 mins and could reflect changes in skin hydration as interstitial fluid concentrations equilibrated with intravascular fluid concentrations. Under acute changes of [glu], the interaction and distribution of fluids (glucose and interstitial fluids) in tissue are described by the mass transfer equation. Therefore, the lag time is determined by the mass transfer resistance from the blood to subcutaneous regions (25). The equilibration of [glu] between these fluids after increasing blood [glu] took approximately 15 mins in humans (3). The morphological reorganization of dermis could also require time. Whichever mechanism is involved, the problem of reducing the lag time for noninvasive biosensors demands further consideration.
Results of preliminary experiments on reproducibility of blood glucose monitoring confirmed that the best correlation of the OCT signal slope with [glu] was observed near the dermis-hypodermis junction in most cases. The amplitude difference between [glu]-induced relative changes in the OCT signal slope did not exceed 10% for the first peak and the second peak, and the difference in the lag time did not exceed 4 mins for the papillary-reticular junction and 3 mins for the dermis-hypodermis junction. It should be noted that, based on reproducibility investigations, the difference in the amplitudes and the lag times between these two peaks decreased with increase of the correlation coefficient. The difference in these parameters is caused by the residual speckle noise, motion artifacts, and changes in the morphofunctional state of skin during the measurements not induced by [glu]. In the second animal, at the depth of 110175 µm, the total correlation coefficient of the OCT signal slope with [glu] was less than 0.7, which was most likely due to the difference between the lag times for the two peaks of [glu].
The relative amplitude of [glu]-induced changes in the OCT signal slope and the lag times varied between animals and were depth-dependent. Therefore, one would need to calibrate the OCT system for each patient and for different depths in a particular patient.
To reduce the influence of speckle noise to acceptable levels, we averaged 1800 independent A-scans that required 30 secs. For anesthetized animals, this time is short enough to avoid motion artifacts, but in clinical conditions in which the motion artifacts are more significant, the scanning time should be reduced. In our experiments, we used a time domain OCT system, but faster frequency domain systems with 16,00018,000 A-scans/sec are available (33, 34). Using a high-speed frequency domain system, the scanning time for 1800 A-scans would take about 0.1 sec, which is acceptable for in vivo measurements in nonanesthetized subjects.
In this article, we demonstrate the sensitivity of the OCT method to changes in [glu], [Na+], and concentrations of other osmolytes. We obtained the following results: (i) The sensitivity of the OCT signal slope was 2.26 ± 1.15 greater for blood [glu] than for [Na+] in the physiological range of these osmolytes. (ii) Correlations between the OCT signal slope with [glu] and [Na+] were observed when the OCT signal slopes were calculated in specific layers of skin but not when calculated from full skin thickness. Therefore, OCT as a high-resolution technique allowing layer-by-layer probing is a promising method for noninvasive glucose monitoring. (iii) The maximum correlation of the OCT signal slope with blood [glu] was observed near the border of papillary and reticular layers and near the dermis-hypodermis junction. Correlations of the OCT signal slopes with [Na+] were observed in the same layers. (iv) The experiments on reproducibility of the OCT monitoring of [glu] showed that the amplitude of [glu]-induced changes in the OCT signal slope and the lag time varied insignificantly at the fixed depth. Consequently, we suggest that calibration of the OCT system at a specific depth is possible, but it should be performed for each subject. (v) The osmolytes [K+], [HCO3], urea, pH, and PCO2 did not influence the OCT signal slope, although in some animals [Cl] correlated with the OCT signal slope during infusion of NaCl.
| Footnotes |
|---|
Received for publication October 4, 2005. Accepted for publication March 18, 2006.
| References |
|---|
|
|
|---|
| ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| HOME | HELP | FEEDBACK | SUBSCRIPTIONS | ARCHIVE | SEARCH | TABLE OF CONTENTS |