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Original Research

Alveolar fractal box dimension inversely correlates with mean linear intercept in mice with elastase-induced emphysema

, , , &
Pages 235-243 | Published online: 27 Mar 2012

Abstract

Rationale

A widely applicable model of emphysema that allows efficient and sensitive quantification of injury is needed to compare potential therapies.

Objectives

To establish such a model, we studied the relationship between elastase dose and the severity of emphysema in female C57BL/6J mice. We compared alveolar fractal box dimension (DB), a new measure which is an assessment of the complexity of the tissue, with mean linear intercept (Lm), which is commonly used to estimate airspace size, for sensitivity and efficiency of measurement.

Methods

Emphysema was induced in female C57BL/6J mice by administering increasing intratracheal doses of porcine pancreatic elastase (PPE). Changes in morphology and static lung compliance (CL) were examined 21 days later. Correlation of DB with Lm was determined in histological sections of lungs exposed to PPE. The inverse relationship between DB and Lm was supported by examining similar morphological sections from another experiment where the development of emphysema was studied 1 to 3 weeks after instillation of human neutrophil elastase (HNE).

Results

Lm increased with PPE dose in a sigmoidal curve. CL increased after 80 or 120 U/kg body weight (P < 0.05), but not after 40 U/kg, compared with the control. DB progressively declined from 1.66 ± 0.002 (standard error of the mean) in controls, to 1.47 ± 0.006 after 120 U PPE/kg (P < 0.0001). After PPE or HNE instillation, DB was inversely related to Lm (R = −0.95, P < 0.0001 and R = −0.84, P = 0.01, respectively), with a more negative slope of the relationship using HNE (P < 0.0001).

Conclusion

Intratracheal instillation of increasing doses of PPE yields a scale of progression from mild to severe emphysema. DB correlates inversely with Lm after instillation of either PPE or HNE and yields a rapid, sensitive measure of emphysema after elastase instillation.

Introduction

Development of new drugs for the treatment of emphysema is hindered by the time required for the development of the disease state and by the lack of a sensitive, efficient measure to quantify the severity of injury. Furthermore, without a standardized model, it is difficult to compare results across studies. The most common methods of inducing emphysema are intratracheal instillation of either porcine pancreatic elastase (PPE), or human neutrophilic elastase (HNE).Citation1Citation3 A bolus of elastase instilled intratracheally into mice produces acute lung injury, alveolar destruction, and airspace enlargement that stabilizes within 21 days.Citation2 Previous studies of elastase-induced emphysema in mice have used males or females of various strains and ages, with variable susceptibility to injury.Citation2,Citation4Citation6 In an effort to identify a standardized therapeutic model, the C57BL/6J wild-type strain was chosen for study because it possesses intrinsically low levels of alpha-1-antitrypsin, because it is the parent strain of the pallid mutant, which has reduced secretion of alpha-1-antitrypsin from the liver,Citation7 and because it is amenable to creation of transgenic derivatives.Citation8 Only one other group of investigators has examined the relation of multiple doses of elastase to morphometry in C57BL/6J mice.Citation9 However, that study did not establish a general model of elastase-induced emphysema because the mice used by them varied in age from 6 to 10 weeks, ages that span the end of very active lung growth into much slower growth,Citation10 where susceptibility to elastase changes considerably.Citation11

The C57BL/6J strain has been characterized as “mildly susceptible” to cigarette smoke-induced emphysema.Citation12,Citation13 Serum antitrypsin levels in male C57BL/6J mice are about 70% of those in other wild-type murine strains.Citation13 Female C57BL/6J mice have about half the serum antitrypsin levels of males,Citation13,Citation14 and this probably explains why the amount of elastase required to produce emphysema is lower for females than for males.

Ideally, parameters used to evaluate the severity of emphysema should allow a high degree of discrimination. Mean linear intercept (Lm) is the most common morphometric method to assess emphysema in animal models.Citation15 Although the calculation of Lm provides reliable measurements of emphysema, it is not a true measure of alveolar size.Citation16 Measurement of Lm is labor intensive, and requires subjective distinction between alveolar structures and surrounding tissue.Citation17 Image analysis software is available for performing more rapid calculations of Lm, but is expensive, and still requires subjective interpretation of the tissue. Other morphometric measures of emphysema, such as internal surface area (ISA), alveolar surface area, and alveolar number, also depend on subjective interpretation, volume measurements, which can be highly variable, and either meticulous manual measurements or expensive software. Thus, a more efficient measure is desirable; one that is sensitive to subtle changes in emphysema. One possible approach is to compare fractal properties of the lungs.

Measures of fractal dimension have recently gained importance because of their discriminatory capabilities. A fractal is an object or function that has self-similarity over several orders of scale.Citation18 The fractal dimension is a measure of complexity, and tends to be characteristic for a normal, healthy form or process. Furthermore, the fractal dimension may change significantly with disease.Citation19,Citation20 When fractal properties are measured by laying a series of boxes over an image of a structure, the measure is called a fractal box dimension, or DB. It is the slope of the regression line for the log–log plot of box size (or scale) C and count N, where N is the number of boxes that contain a part of the image, from a box counting scan. In nature, the log–log plot normally yields a slightly concave line, so by convention DB is the limit as scale approaches zero: DB = lim C→0 [lnN/lnC−1].Citation21 Rigaut and coworkers established that lung alveolar surfaces have fractal properties at the microscopic level.Citation22 Karperien has developed a user-friendly Image J software plug-in, called FracLac,Citation21 which makes it possible to get fast, reliable measurements of DB from two dimensional images.

We report that, in elastase-induced emphysema, DB is inversely correlated with Lm, regardless of the type of elastase used, and is rapidly determined using the same digital images for measurement of Lm.

Materials and methods

Reagents

High-purity PPE was obtained from Elastin Products, Inc (Owensville, MO). Each mg of protein contained 137 units PPE activity, where one unit solubilizes 1 mg of elastin-orcein substrate in 20 minutes at pH 8.8 and a temperature of 37°C. HNE was obtained from the same source, in a concentration of 850 units/mg, where 1 HNE unit hydrolyzes 1 Nmole sucala- ala-ala-pNA/min at pH 7.5 and a temperature of 25°C. It must be noted that the activity of these two enzymes cannot be directly compared. Despite having a 40% homology, and the same active site mechanism, they differ with regard to pH and temperature optima, hydrophobicity, and substrate preferences.Citation23 Ketamine HCl and ace promazine maleate were obtained from USP Fort Dodge Animal Health (Fort Dodge, IA). Xylazine was obtained from Phoenix Scientific, Inc (St Joseph, MO), and isoflurane and 10% buffered formalin acetate from Fisher Scientific (St Louis, MO).

Mice

Seven-week-old C57BL/6J female mice were obtained from Jackson Laboratories (Bar Harbor, ME). Mice were housed in the vivarium at the Harry S Truman Memorial VA Hospital (Columbia, MO) in standard hanging shoebox cages, in isolation from other mice. Food and water were supplied ad libitum. Room temperature was 72°F–76°F, relative humidity was 40%–50%, and the day/night cycle was set at 12 hours/12 hours. Mice were acclimatized for 1 week before elastase instillation. All animal treatment was in accordance with a protocol approved by the Harry S Truman VA Subcommittee for Animal Studies.

Elastase instillation

Elastase was administered when mice were 8 weeks old, the midpoint of the transition from rapid to near stationary growth for this strain. At this age, the lungs have completed their most rapid growthCitation10 and retain a moderate susceptibility to elastase. In preparation for instillation, mice were anesthetized with 5% isoflurane for induction, and then maintained at 3%–5% isoflurane, with oxygen set at 0.6 L/min. Once mice were sedated, a 20 μL ketamine/xylazine cocktail containing 25 mg/mL ketamine HCl, and 0.625 mg/mL xylazine was injected intraperitoneally to prevent laryngeal spasms. A 20-gauge catheter (Beckton Dickinson, Rutherford, NJ) was inserted into the trachea via the mouth, connected to a manometer (custom made), and placement verified by briefly observing the characteristic liquid displacement of tidal breathing. After disconnecting the manometer, a bolus of elastase was then delivered into the catheter using a micropipette with a fine tip. For recovery, animals were given oxygen for 1 minute, and then placed in a warm chamber enriched with oxygen until they recovered consciousness, usually within 5 minutes.

For the study of PPE dosage effects, mice were given 40, 80, or 120 units of PPE per kg of body weight (abbreviated U/kg) in 100 μL of phosphate-buffered saline (PBS). This range of doses was found in preliminary experiments (data not shown) to be adequate to produce emphysema in our model. Each dosage group, consisting of eight to ten mice after instillation, was subdivided for morphometry and lung compliance measurements to eliminate the possibility that morphometric results might be affected by manipulations of the lungs during compliance measurements. Mice were sacrificed 21 days after instillation.

To compare the effects of HNE on the relationship between the fractal box dimension and mean linear intercept, female mice from the same source and of the same age and strain received 700 HNE U/kg body weight. We selected this dose because, in preliminary experiments, it was shown to reliably produce emphysema within 21 days, while higher doses resulted in pulmonary hemorrhage. Mice were sacrificed 7, 14, or 21 days postinstillation. Controls in each study received 100 μL PBS alone.

Static lung compliance (CL)

Animals were sacrificed by overdosing with 200–300 μL ketamine/xylazine/ace promazine maleate cocktail (100:10:2 mg/mL), administered intraperitoneally. The body cavity was opened and an incision was made in the trachea. A 20-gauge catheter was inserted into the trachea and secured with suture.

Static lung compliance was measured with a 5 cc syringe connected to the trachea via a 20-gauge catheter and to a water manometer via a three-way stopcock. For inflation curves, 0.2 cc of air was manually injected stepwise, up to a total of 3.0 cc. The resultant pressure from each incremental injection was read from the manometer approximately 1 second after the injection. Deflation was read by the same method, manually withdrawing 0.2 cc at a time, until 3.0 cc was withdrawn. Inflation and deflation curves were measured twice for each animal. Volume was plotted as a function of pressure. CL was determined by the average slope of each deflation curve at its midpoint.

Morphometry

For morphometric studies, animals were sacrificed as described above. Lungs were excised from the body cavity with heart and trachea attached and fixed in 10% neutral buffered formalin acetate at a pressure of 25 cm of H2O for 8 hours. Whole lungs were embedded in paraffin, sectioned and stained with hematoxylin and eosin. Three sagittal lung sections of 4 μm thickness were taken from the middle of each lung, so that a portion of each lung lobe was included in each section. Each subsequent section was spaced 200 μm from the previous section. Paraffin embedding, sectioning, slide preparation for light microscopy, and staining with hematoxylin and eosin was done by the University of Missouri Research Animal Diagnostic Laboratory.

Mean linear intercept (Lm)

Lm was measured according to the method of Dunnill using blind scoring.Citation15 Identifying information on each slide was temporarily masked with a coded label, until after Lm measurements were completed. Typically, there were 25 fields of lung tissue on each microscope slide. The fields were digitally photographed and saved (in jpeg format). Twelve suitable fields were randomly chosen and counted; a total of 36 fields were counted per animal. Areas with large airways were not selected for counting. Lm was derived by superimposing a grid over each image and counting the number of times the alveolar walls intercepted the grid lines. The equation

Lm=(N)(L)/m

where N = number of times the transverses were placed on the tissue, L = length of the transverses and m = the sum of all intercepts, gave Lm. Because the 10% formalin fixation and paraffin embedding of mouse lungs has only a small effect on linear dimension,Citation24 a correction factor was not applied to Lm.

Alveolar box counting fractal dimension (DB)

DB of the alveolar walls was measured using the FracLac plugin, v 2.5, for Image J.Citation21 The images used for the measurement of Lm were autocorrected for brightness and contrast using Microsoft Office Picture Manager (within Microsoft Office 2007; Microsoft, Redmond, WA), converted to grayscale, and exported to the tagged image file format. They were then imported into Image J in stacks, set to binary and unstacked, and saved in a new folder. FracLac was set for standard box count of binary images, using default parameters for grid calibers, and with added options for scanning, data processing, and graphics unchecked. Results were saved automatically. Accuracy was verified by scanning images of known fractal dimension. Six standard images scanned by this method tested within ±1% of their known values. The binary images were scanned as a group. The correlation coefficient for each image scan, a test of the linear regression, was ≥0.995 and indicates that the measured parameters are truly fractal.Citation25

Statistical analysis

The mean and standard error were calculated for each outcome measure for different levels of elastase. A P value of <0.05 was considered statistically significant. One-way analysis of variance (ANOVA) was used to make comparisons between the outcomes of different groups (, ). The residual plot from the fitted ANOVA model shows no serious violation of the normal assumption for the error terms. For estimating the correlations between the alveolar fractal box dimension (DB) and the mean linear intercept (Lm), Spearman’s correlation coefficient was chosen over Pearson’s correlation coefficient, due to the non-normal distribution of outcome measures. Simple regression models were used to estimate slopes in . The effects of the two different types of elastase upon the inverse relationship between DB and Lm were compared by an F-test of the regression coefficients. Data analysis was compiled with the Kaleidagraph graphing and analysis program (v 4.0; Synergy Software, Reading, PA) and verified using SAS (v 9.2; SAS Institute Inc, Cary, NC).

Table 1 Effect of porcine pancreatic elastase dose on alveolar fractal box dimension (DB)

Results

Morphology and morphometry

Low-power magnification images showed that, compared with the airspaces of PBS-treated controls, the airspaces of animals that received PPE were larger (). Mice that received 40 U/kg had slightly enlarged airspaces and there was progressively greater airspace enlargement with higher PPE doses.

Figure 1 Photomicrographs of lungs 21 days after elastase instillation, stained with hematoxylin and eosin (magnification 200×). Representative sections after instillation of phosphate-buffered saline (PBS) control, 40 U/kg body weight, 80 U/kg, and 120 U/kg are shown.

Note: Scale bars represent 60 μm.
Figure 1 Photomicrographs of lungs 21 days after elastase instillation, stained with hematoxylin and eosin (magnification 200×). Representative sections after instillation of phosphate-buffered saline (PBS) control, 40 U/kg body weight, 80 U/kg, and 120 U/kg are shown.

Lm increased with increasing doses of PPE (R = 0.98, ). Lm of all PPE groups differed significantly (P < 0.05) from that of the PBS controls. However, Lm after 120 U/kg was not significantly greater than Lm after 80 U/kg (P = 0.11). Similar results were obtained when Lm measurements were compared with those from successively deeper cuts, verifying the uniformity of distribution (data not shown).

Figure 2 Relationship between the mean linear intercept (Lm) and the dose of porcine pancreatic elastase (PPE). Lm increased when the PPE dose increased.

Notes: Error bars ± standard error of the mean (N = 4 or 5 for each dose). *Significantly different from control by analysis of variance (ANOVA) (P < 0.05). All groups were significantly different by ANOVA, except Lm of 80 U/kg was not different from an Lm of 120 U/kg (P = 0.11). Pearson’s correlation, R = 0.98. P value of the global test = 0.001 from the fitted ANOVA model.
Figure 2 Relationship between the mean linear intercept (Lm) and the dose of porcine pancreatic elastase (PPE). Lm increased when the PPE dose increased.

DB decreased with increasing doses of elastase. However, DB did not differ between the groups receiving 80 and 120 U/kg (). There was an inverse linear relationship between DB and Lm measurements (R = −0.94, ).

Figure 3 Relationship between alveolar fractal box dimension (DB) and mean linear intercept (Lm). Each datum point is the mean DB and Lm of one animal. (A) Porcine pancreatic elastase (PPE)-induced emphysema (N = 18). Estimated Spearman’s coefficient of correlation R = −0.94, P < 0.0001. (B) human neutrophil elastase (HNE)-induced emphysema (N = 14). Spearman’s coefficient, R = −0.834. P = 0.0001.

Notes: The slopes of the lines, −0.0028 and −0.0041, respectively, are significantly different when compared by an F-test (P < 0.0001). The negative correlation coefficients indicate that as airspace size Lm increases there is a corresponding decline in DB, regardless of the type of elastase used to induce emphysema. The difference between the slopes of the lines indicates that HNE reduces DB more for each unit of increase in airspace size Lm than does PPE.
Figure 3 Relationship between alveolar fractal box dimension (DB) and mean linear intercept (Lm). Each datum point is the mean DB and Lm of one animal. (A) Porcine pancreatic elastase (PPE)-induced emphysema (N = 18). Estimated Spearman’s coefficient of correlation R = −0.94, P < 0.0001. (B) human neutrophil elastase (HNE)-induced emphysema (N = 14). Spearman’s coefficient, R = −0.834. P = 0.0001.

In this study, to determine the relation of DB to Lm independently, we compared the effect of PPE dose on each of the two measures. DB was linearly related to elastase dose by the following equation: DB = 1.68−0.00137 X dose, with a correlation coefficient of −0.895. Despite the sigmoid relationship of Lm to elastase dose, there was still a correlation of 0.978 for a linear relationship, where Lm = 51.9 + 0.563 X dose. Solving both equations yields DB = 1.81−0.0024 X Lm. This is remarkably close to the experimentally observed equation of the line in : DB = 1.83−0.0028 X Lm.

Effect of HNE

DB and Lm were calculated from images of lungs of mice that were sacrificed 7, 14, and 21 days after instillation of HNE (). An inverse relationship between DB and Lm was seen (R = −0.83, P = 0.01). The slopes of the linear relationships of DB and Lm were shown to be different when compared using an F-test (−0.0028 for PPE and −0.0041 for HNE, respectively [P < 0.0001]).

While Lm increased over time after HNE was administered, DB decreased (). By 21 days after HNE, DB and Lm differed significantly from those of saline-instilled controls (P < 0.0001 for DB, and P = 0.05 for Lm).

Table 2 Effect of human neutrophil elastase on alveolar fractal box dimension (DB) and mean linear intercept (Lm)

Static lung compliance

shows changes in static lung compliance 21 days after instillation of PPE. CL did not increase after instillation of 40 U/kg (P = 0.25). However, after 80 or 120 U/kg, CL was greater than the control values, and values obtained after 40 U/kg (P < 0.001 for each).

Figure 4 Relationship of static lung compliance (CL), 21 days after porcine pancreatic elastase (PPE) instillation, to PPE dose.

Notes: Error bars ± standard error of the mean (N = 4 or 5 for each dose). *Significant difference from control (P < 0.05).
Figure 4 Relationship of static lung compliance (CL), 21 days after porcine pancreatic elastase (PPE) instillation, to PPE dose.

Discussion

This study addressed the need for a more standardized and efficient means of comparing results in murine studies of emphysema. It characterized the dose-response to PPE in 8-week-old female C57BL/6J mice, and compared morphometric and functional parameters of measurement of alveolar damage to find the best means of distinguishing the degree of injury. Alveolar fractal box dimension (DB) was identified as a measure of alveolar lung damage, which is inversely related to Lm. This finding was confirmed in a separate study using HNE.

PPE affected the severity of emphysema as follows: 40 U/kg produced mild emphysema, where CL was unaffected, but changes in Lm, and DB were noted. 80 U/kg produced moderate emphysema, with progressively greater changes in Lm and DB. 120 U/kg produced the most severe degree of emphysema, with marked changes in all the measured parameters, but also resulted in some fatalities immediately after instillation, in less than 20% of the mice, mostly due to acute pulmonary hemorrhage. Together, these findings provide a scale of reference for the comparison of alveolar injury in this model. The relationship between Lm and PPE () resembles a typical dose-response curve for a toxin,Citation26 where the effective concentration required to achieve one half of the maximum effect (EC50) is about 50 U/kg.

DB

DB, a measure of the complexity of the alveolar surface, progressively declined with increasing doses of elastase, as airspace size Lm increased. DB is inversely correlated with Lm regardless of the type of elastase used, but, with HNE, each unit increase of Lm was accompanied by a correspondingly greater decline in DB than with PPE. This may reflect differences in the action of the two enzymes upon lung structures, as well as differences in susceptibility to naturally occurring inhibitors present in the lung, such as alpha-1-antitrypsin and secretory leukocyte protease inhibitor.Citation23,Citation27

Only a few other investigators have attempted to measure lung damage by some type of fractal measure and their findings are not easily compared because each used different parameters to generate a fractal dimension. Among these, Witten et alCitation28 found that the perimeter length of airspaces of COPD patients had a lower fractal dimension than did those of healthy individuals. Nagao et alCitation29 reported increased fractal dimension of radioaerosol density probabilities in human emphysema, but these data were criticized for not measuring a fractal characteristic.Citation30 In contrast, Sato et alCitation25 examined fractal parameters of alveolar size distribution and shape distribution in klotho mice, which spontaneously develop emphysema during aging. They found that those parameters are truly fractal and declined with the development of emphysema. Measures of fractal dimension can be applied to computed tomography (CT) scans of the human lung to examine the extent and localization of emphysema. Although such measures have been hampered by variability between scans, Keller et alCitation31 have recently reported a technique to address this problem. The box counting method we have used on alveolar surfaces is not equivalent to any of the other methods. We have shown that it is truly a fractal measure of alveolar surfaces and that it is inversely related to the Lm in this emphysema model.

When HNE is used to induce emphysema in our model, the more negative slope of the relationship between DB and Lm, compared to that found with PPE, is due to a greater decline in DB for each unit of increase in Lm. The airspaces do not increase in size as much as with PPE, because the animals will die of hemorrhage at doses of HNE that increase Lm above about 80 μm. However, at the same time, a change is occurring that affects DB relatively more than does PPE for the same change in Lm. The cause of death with either enzyme most frequently appears to be pulmonary hemorrhage, suggesting that pulmonary vascular tissues may be more readily damaged by HNE than by PPE and that the integrity of the vascular tissue may be more crucial to survival than airspace size. Again, it is important to stress that these two enzymes have less in common than suggested by calling them both elastase; HNE is hydrophobic and more active against vascular tissues, whereas PPE is hydrophilic. Each acts upon other substrates besides elastin and PPE is less susceptible to elastase inhibitors normally found in the lung than is HNE.Citation23,Citation27

In our study, the DB of controls was close to 1.7, a value that is commonly found for diffusion-limited processes, such as the growth of vasculature,Citation18 whereas DB in elastase-exposed mice was reduced, regardless of the type of elastase used. The maximum tolerated dose of PPE, 120 U/kg, roughly corresponds to a minimum DB of about 1.4 to 1.5 in this study. With HNE instillation, the maximal Lm was only about half that obtained with PPE, while DB declined nearly as much as with PPE, resulting in a significantly steeper negative relationship between DB and Lm.

Since DB is measured by digital scanning, it may be calculated rapidly, and is limited primarily by available computer memory. In our study, FracLac scanned each binary image in seconds. The option to automatically save the results permitted the processing of more than 1200 images overnight without supervision. DB may prove to be a very useful measure for comparative studies of emphysema, especially in mild emphysema where changes in other parameters may be small or difficult to measure.

Static lung compliance

Static lung compliance measurements were relatively insensitive to the dose of PPE (), compared with Lm and DB. CL increased only with the highest doses of PPE. Our results are similar to those of other investigators. Takubo and colleaguesCitation32 used a smoking model of emphysema to compare changes in the C57BL/6J strain with its pallid derivative. The wild-type strain developed mild emphysema but did not exhibit an increase in CL, whereas the pallid derivativeCitation5 had significantly more emphysema and an increase in CL. Similarly, Foronjy and coinvestigatorsCitation33 found that transgenic mice that overproduce matrix metalloprotease-1 developed increased Lm, but not increased CL after 2 months. However, after 1 year, with further increase in Lm, CL also increased. Thus, a modest increase of airspace size, as measured by Lm, is not necessarily associated with increased CL in mice and changes in CL, while functionally important, are not a sensitive measure of elastase-induced lung damage.

Conclusion

This study characterized a dose-dependent response to PPE injury in the mouse lung. Lm showed a classical, sigmoid dose-response curve, with an EC50 corresponding to approximately 50 U/kg body weight for females of strain C57BL/6J. DB inversely corresponded to Lm regardless of the type of elastase used, whereas CL was relatively unaffected by the lowest dose of PPE.

DB and Lm are both sensitive measures of emphysema development after elastase instillation, able to discriminate between mild and more severe lung damage. DB provides rapid assessment of the severity of emphysema and may prove to be especially useful in comparing therapies for emphysema.

Acknowledgments

We thank Drs Youngju Pak and Richard Madsen for providing statistical guidance and Sharon S Morey for reviewing the manuscript (all University of Missouri, Columbia, MO).

Disclosure

J Clifford Waldrep is a senior investigator at the US Army Medical Research Institute of Infectious Diseases (USAMRIID), Frederick, MD. This research was supported by the Harry S. Truman VA Research Service and the Department of Internal Medicine, University of Missouri, Columbia, Missouri, USA. The authors declare no other conflicts of interest in this work.

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