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Journal of Diabetes Science and Technology logoLink to Journal of Diabetes Science and Technology
. 2008 May;2(3):468–477. doi: 10.1177/193229680800200317

Model-Based Insulin Sensitivity as a Sepsis Diagnostic in Critical Care

Amy Blakemore 1, Sheng-Hui Wang 2, Aaron Le Compte 1, Geoffrey M Shaw 3, Xing-Wei Wong 1, Jessica Lin 1, Thomas Lotz 1, Christopher E Hann 4, J Geoffrey Chase 4
PMCID: PMC2769723  PMID: 19885212

Abstract

Background

Timely diagnosis and treatment of sepsis in critical care require significant clinical effort, experience, and resources. Insulin sensitivity is known to decrease with worsening condition and could thus be used to aid diagnosis. Some glycemic control protocols are able to identify insulin sensitivity in real time.

Methods

Receiver operating characteristic curves and cutoff insulin sensitivity values for diagnosing sepsis were calculated for model-based insulin sensitivity (SI) and a simpler metric (SSI) that was estimated from glycemic control data of 30 patients with sepsis and can be calculated in real time without use of a computer. Results were compared to the insulin sensitivity profiles of a general intensive care unit population of 113 patients without sepsis and 30 patients with sepsis, comprising a total of 26,453 patient hours. Patients with sepsis were identified as having sepsis based on a sepsis score (ss) of 3 or higher (ss = 0 – 4 for increasing severity). Patients with type I or type II diabetes were excluded. Ethics approval for this study was granted by the South Island Regional Ethics Committee.

Results

Receiver operating characteristic cutoff values of SI = 8 × 10-5 liter mU−1 min−1 and SSI = 2.8 × 10-4 liter mU−1 min−1 were determined for ss ≥ 3. The model-based SI fell below this value in 15% of all patient hours. The SI test had a negative predictive value of 99.8%. The test sensitivity was 78% and specificity was 82%. However, the positive predictor value was 2.8%. Slightly lower sensitivity (68.8%) and specificity (81.7%), but equally good negative prediction (99.7%), were obtained for the estimated SSI.

Conclusions

Insulin sensitivity provides a negative predictive diagnostic for sepsis. High insulin sensitivity rules out sepsis for the majority of patient hours and may be determined noninvasively in real time from glycemic control protocol data. Low insulin sensitivity is not an effective diagnostic, as it can equally mark the presence of sepsis or other conditions.

Keywords: blood glucose, critical care, diagnosis, hyperglycemia, ICU, insulin sensitivity retrospective studies, sepsis, SPRINT

Introduction

Severe sepsis and septic shock have high incidence and high mortality rates in an intensive care unit (ICU).13 The cost of treating sepsis and of additional bed hours required in sepsis patients is reported to be $16.7 billion dollars in the United States.1 Insulin control protocols have been widely used to tightly control blood glucose values,3110 which have shown to result in a reduction in the incidence of sepsis.10

Diagnosis of sepsis presents many challenges in a clinical setting. A positive culture should precede the use of antibiotics,3 but blood culture results take 24–48 hours, or longer, to process.2 More rapid diagnosis can be achieved using a variety of biomarkers, such as tumor necrosis factor α, interleukin (IL)-6, IL-8, C-reactive protein, and procalcitonin, with varying success, but a minimum lag time of typically 2–3 hours is still present.2 Therefore, other signs must be investigated to assist in making the most timely diagnosis and potentially starting appropriate treatments, such as fluid resuscitation and vasopressor and inotrope use. The earlier these interventions are correctly applied, the better the mortality outcome,11,12 Rivers and colleagues12 found that early goal-directed treatment of sepsis reduced mortality from 46.5 to 30.5%.

The negative effect of sepsis on insulin sensitivity and glucose metabolism is well documented.3115 However, the mechanisms by which this takes place are not fully understood. It has been suggested that sepsis induces a counterregulatory hormone response causing the reduction in insulin sensitivity,13,16 There is also a delay reported between the introduction of endotoxins and the onset of increased insulin resistance.13,17 Low insulin sensitivity can also be exacerbated by the use of glucocorticoids,18,19 which are sometimes indicated in the treatment of severe sepsis.3 Finally, the inflammatory nature of the acute immune response to sepsis can also have a hyperglycemic effect. Thus insulin sensitivity and sepsis are strongly linked, but its effectiveness as a diagnostic is unknown.

Insulin sensitivity can be found using lumped parameter compartment models that have had extensive clinical validation in critical care.5,8,2124 In such models, varying insulin sensitivity is the driving dynamic. Alternatively, glycemic control protocols usually provide some measure of insulin sensitivity in real time. An example of one such protocol is Specialized Relative Insulin and Nutrition Tables (SPRINT), which regulates enteral nutrition rates and insulin boluses.4,5,23 Enteral nutrition and insulin are modulated according to the patient's current blood glucose level and the change in blood glucose level, as well as prior hour interventions, and an insulin sensitivity metric may also be derived from these input data. This insulin sensitivity information, whether model based or estimated from intervention data, is available without additional invasive procedures, outside of those required for glucose control.

Method

Identifying insulin sensitivity requires capturing the fundamental dynamics of the glucose regulatory system. The model given in Equations (1)(5) is algebraically equivalent to the model employed and validated by Chase et al.21,22,25 and Lonergan et al.5,23

G˙t=pGGtSIGtQ1+αGQ+P(t)VG+Pend (1)
Q˙=kIkQ (2)
I˙=nI1+αII+μexV (3)
P(ti<t<ti+1)=P¯i+1+(P¯iP¯i+1)ekpd(tti)where P¯i+1<P¯i (4)
P(ti<t<ti+1)=P¯i+1+(P¯iP¯i+1)ekpr(tti) where  P¯i+1>P¯i (5)

where Gt(t) [mmol/liter] is the plasma glucose and I(t) [mmol/liter] is the plasma insulin resulting from exogenous insulin input, uex(t) [mU/min]. The effect of previously infused insulin being utilized over time is represented by Q(t) [mU/liter], with k [1/min] accounting for the effective life of insulin in the system. Patient endogenous glucose clearance and insulin sensitivity are pG [1/min] and SI [liter/(mU·min)], respectively. Pend is endogenous glucose production (EGP), which is held at a constant 3 mg min−1 kg−1 from a measured population constant obtained from the results of Chambrier et al.14 for a glucose distribution volume of VG = 13.65 liters. The parameter V [liter] is the insulin distribution volume and n [1/min] is the constant first-order decay rate for insulin from plasma. Total plasma glucose input is denoted P(t) [mmol/(liter·min)], which is obtained from enteral nutritional input rates, which are adjusted hourly to one of eight discretized enteral nutrition rates. From recorded hourly volume rates and known caloric densities, plasma glucose inputs can be calculated from Equations (4) and (5). Michaelis–Menten functions are used to model saturation, with αI [liter/mU] used for the saturation of plasma insulin disappearance and αG [L/mU] for the saturation of insulin-dependent glucose clearance.26,27

Patient-specific profiles for time-varying SI can be generated from retrospective data using this model to create virtual patients to test trial protocols.22,25,28 For identified SI profiles in this study, pG, k, n, Pend, I, V, and VG are set to generic population values.21,25,26,28 Upper and lower physiological limits of 1e-3 and 1e-5 liter mU−1 min−1 are imposed on identified SI values.28 A 3 hourly moving average smoothing is applied to the resulting SI profiles to mitigate the effects of glucose measurement noise.

SI profiles were calculated for a cohort of 143 patients in the Christchurch Hospital ICU who had been on the SPRINT protocol. All patients with previously diagnosed diabetes were excluded from the study to remove any bias from their lower insulin sensitivity due to diabetes. The mean Acute Physiology and Chronic Health Evaluation II (APACHE II) score was 20.4 and the range was 4–43. The average length of stay was 10.9 days with a range of 0.3–59 days. Ethics approval was granted by the South Island Regional Ethics Committee for this retrospective data analysis.

In this cohort, a subset of 30 patients who potentially had sepsis during their hospital stay was identified using positive blood culture results and/or, in the absence of these, the judgment of experienced senior intensive care clinicians. Comprehensive clinical data for these patients were examined to isolate the time and duration of sepsis.

From these clinical data, a sepsis classification score (ss) was generated for each hour of the patients stay that strictly follows the American College of Chest Physicians/Society of Critical Care Medicine guideline definitions of 1992 and 2003.29,30 The criteria for the sepsis score are defined in Tables 13. The organ failure criteria scoring in Table 2 uses the most relevant elements of the definitions for the Sepsis-related Organ Failure Assessment (SOFA) score.31 The sepsis score thus includes Systemic Inflammatory Response Score (SIRS) and SOFA organ failure criteria, as well as including factors for treatments indicated in sepsis. Thus, it provides better correlation than any single criterion.30

Table 1.

Sepsis Score Criteria

Definition

Sepsis score SIRS ≥ 2 Infection during stay Organ failure ≥ 1 Fluid resuscitation Inotrope present High inotrope dosea
0 Normal
1 Sepsis
2 Severe sepsis
3 Septic shock
4 Refractory septic shock
a

Adrenaline or noradrenaline ≥ 0.2 mg min−1 kg−1.

Table 3.

SIRS Criteria

Score Criteria
+1 Temperature ≤36°C ≥38°C
+1 Heart rate ≥90/min
+1 Respiratory rate or PaCO2 ≥20/min ≤32 mm Hg
+1 White blood cell count ≤4 ×109/liter or ≥12 × 109 /liter or presence of >10% immature granulocytes

Table 2.

Organ Failure Criteria Utilized

Score System Criteria
+1 Cardiovascular MAPa or need for inotropes ≤60 mm Hg
+1 Respiratory PaO2/FiO2 ≤250 mm Hg/mm Hg ≤200 mm Hg/mm Hg with pneumonia
+1 Renal Urine output <0.5 ml/kg/h
+1 Blood Platelets <80 × 109/liter or 50% drop in 3 days
a

Mean arterial pressure.

In Table 1, a tick indicates a necessary criterion and all necessary criteria must be present to attain the indicated score. For example, a patient on fluid resuscitation only would attain a sepsis score of 0. For this study, the diagnosis of sepsis is a sepsis score of 3 or more. This ss = 3 value corresponds to a SIRS score of 2 or more, an organ failure score of 1 or greater, fluid resuscitation and inotrope use of any amount all at the time of investigation, and an infection during the patient's ICU stay. Tables 2 and 3 define the organ failure and SIRS scores utilized in this overall score.

For this 30 patient sepsis cohort, the mean APACHE II score was 22 with a range of 7–40. The mean length of stay was 11.7 days with a range of 0.7–59 days. The mean sepsis score for this subset was 0.5 throughout their stay. However, 45 patient hours had a sepsis score of 3 or higher at some point in their stay. From this information, a receiver operating characteristic (ROC) curve was drawn for the 30 patients using model-based insulin sensitivity, (SI) as the marker, and a sepsis score of ss ≥ 3 as the diagnostic. A ROC curve plots the sensitivity of a diagnostic test against 1-specificity, which is equivalent to the true positive rate plotted against the false-positive rate, for all possible cutoff values. A completely random test is represented as a line at 45° to each axis, representing an additional false-positive result for each false-negative result eliminated. A perfect test (100% specificity and 100% sensitivity) is a vertical line up the sensitivity axis at 1-specificity = 0 and then a horizontal line along the 1-specificity axis, allowing selection of a cutoff with a zero false-positive rate and a zero false-negative rate.

This ROC curve was compared to a similar one obtained for the estimated insulin sensitivity identified by the SPRINT protocol (SSI) given by Equation (7). This approximated insulin sensitivity is evaluated only at times that the change in glucose is less than the measurement error of 7% (i.e., Ġ = 0).32 Equation (7) then results from algebraic rearrangement of Equation (1) using the assumption that endogenous clearance and production are negligible and ignoring saturation effects in steady state. When blood glucose is not available at any hour, the last reading taken is used. The number of patient hours that satisfy Ġ = 0 criteria is shown in Table 4.

SSI=P(t)60I(t)Gt (7)

Hence, Equation (7) represents an approximated SI value in steady state.

Table 4.

Summary of Patient Hours in Each Subset of the ICU Cohort

Sepsis patients Nonsepsis patients Total
Number of patients 30 113 143
Total hours 6744 19,709 26,453
Total hours in which Ġt = 0 2036 5,493 7,529

Results

Figure 1 and Table 5 show insulin sensitivity distributions for 130 patients compared with the APACHE II score, discretizing the patient set into nine groups of APACHE II scores. Note that the remaining 13 patients are not included in the APACHE II score groups due to unavailable APACHE II score data. None of these 13 were in the 30 patient sepsis cohort. Figure 1 shows the high density of low SI readings found in all groups with an APACHE II greater than 6.

Figure 1.

Figure 1.

Insulin sensitivity (SI) distributions of ICU patients grouped by APACHE II scores.

Table 5.

Time Spent below SI = 8e-5 Liter mU−1 min−1, the Cutoff Value for the Sepsis Score, ss ≥ 3

APACHE II score range % of time below cutoff
1–5 2.3
6–10 15.3
11–15 8.7
16–20 12.7
21–25 14.8
26–30 15.3
31–35 20
36–40 15.3
41–45 19.8

The ROC curve for model–based SI data from 6744 patient hours is shown in Figure 2. The sensitivity of the insulin sensitivity test was found to be 77.8% and the specificity to be 82.2%. The positive predictive value was 2.8% and the negative predictive value was 99.8%. The cutoff value for this test was an SI of 8e–5 liter mU−1 min−1. Over 85% of the 26,453 identified insulin sensitivity values for the general ICU cohort (143 patients, with and without sepsis) were above the 8e–5 liter mU−1 min−1 cutoff.

Figure 2.

Figure 2.

ROC of the modeled insulin sensitivity metric as a predictor of sepsis (ss ≥ 3).

The SSI ROC curve for the applicable 2036 patient hours that GiGi1Gi<7% is shown in Figure 3. The sensitivity of the insulin sensitivity test was found to be 68.8% and the specificity to be 81.7%. The positive predictive value was 2.9% and the negative predictive value was 99.7%. The cutoff value for this test was an SSI of 2.8e–4 liter mU−1 min−1, which is approximately three times higher than that for SI in Figure 2. For 82.7% of the time, a critically ill patient's simple insulin sensitivity (SSI) will be above this cutoff point of 2.8e–4 liter mU−1 min−1 as found from the 7529 hours of the 143 general ICU patient cohort (28% of 26,453 available hours). This 82.7% result is similar to the result for SI over the full time period.

Figure 3.

Figure 3.

ROC of insulin sensitivity metric evaluated in real time as a predictor of sepsis.

Discussion

Absence of sepsis shows a strong correlation with a higher SI. The ROC shown in Figure 2 indicates that insulin sensitivity can exclude a sepsis diagnosis far more accurately than it can make one. Specifically, 87% of the time in this ICU cohort it is 99.8% certain that a patient does not have sepsis (ss ≤ 2) due to a modeled insulin sensitivity of greater than 8e–5 liter mU−1 min−1.

However, as a positive predictor, insulin sensitivity is not useful. Figure 1 shows that with increasing APACHE II scores, the log–normal distribution of SI tends to lower SI values (Kruskal–Wallis test, p < 0.05). This result indicates that not only sepsis, but other severe illness and effects could be responsible for a low SI value in a critically ill patient, causing a high number of false positives as seen by the high density of low SI values in Figure 1. This result explains the low positive predictive value of either insulin sensitivity metric (SI or SSI). However, the high negative predictive value offers the clinical opportunity to avoid preemptive prescription of antibiotics or other treatment for sepsis and, as such, is still a reasonably strong diagnostic discriminator.

The SSI was a slightly inferior predictor to the model–based SI profiles, but the negative predictive value was still very high, offering the possibility of ruling out sepsis in 82.7% of patient hours. However, with additional data the cutoff point identified by the ROC may move significantly, but these predictive values should only change slightly. A limiting factor in this analysis is that only 16 patient hours with sepsis, out of 2036 patient hours, were available for this part of the study. This limited quantity of data is a consequence of the requirements of nonzero enteral nutrition and insulin input and negligible changes in blood glucose for Equation (7). Overall, only approximately 30% of patient hours (30.2% of patient hours in the sepsis cohort and 32% in the complete cohort) were available to compute SSI, creating a potential further limitation for the simpler metric.

While the sensitivity of the test remained relatively unchanged for SSI versus SI, the specificity dropped greatly because of a large increase in the number of false positives. This result can be partly explained by the reduced resolution of the protocol. However, it is possible that another effect is because of the pool of data being reduced by the requirement that the change in measured glucose is less than 7% of previous measurement (measurement error). Constant blood glucose is more likely to be found in more stable patients who are generally less likely to have sepsis. This unintended filtering in using the simplified SSI metric increases the proportion of patients with low baseline insulin sensitivity to patients with sepsis–induced low insulin sensitivity. In particular, 40% of hours with sepsis in the sepsis cohort were eliminated by the Ġ ≈ = 0 criterion. This filtering also causes the discretized appearance of the ROC curve by reducing the number of available data points, particularly periods of sepsis.

However, the insulin requirement of I(t) ≥ 0 U/h in Equation (7) for the estimated metric (SSI) is not as restrictive in an ICU as in a less acute ward setting. A 1 U/h or greater insulin dosage is frequently called for in glycemic control protocols and is often sustained for prolonged periods of a patient's hyperglycemic stay. Similarly, patients will typically not spend significant periods of time fasting in an ICU. For this study, only enteral nutrition was considered; oral and parenteral nutrition were not used.

The advantage of SSI as a predictor is that it can be evaluated very easily in real time with only a pocket calculator. Hence, a clinician can obtain useful information about a patient's condition without invasive, computationally intensive or time–consuming tests. While this simple method introduces additional uncertainty by reduced resolution, as well as offering limited availability, the reduction in computational effort could justify its use over a model–based approach if computational resources were not available (e.g., a personal digital assistant with program). However, a growing trend toward computation–driven protocols could lead toward regular use of the higher resolution, model–based SI value.8,3335

More specifically, the cutoff value for this test was an SSI of 2.8e–4 liter mU−1 min−1. To use this value clinically, a simple example of two patients could be considered. The first on 80% (65 ml/h) of goal nutrition rate and 3 U/h of insulin under SPRINT; the second, much more insulin resistant, receives 40% (30 ml/h) of goal feed and 5 U/h of insulin. In data used, the enteral nutrition was RESOURCE® Diabetic TF (Novartis Inc.), which has a 36% (20.6 g/250 ml) carbohydrate content. Utilizing these values and appropriate unit conversions, Equation (7) yields SSI = 7e–4 and SSI = 1.6e–4, respectively. These values are well above the cutoff, as might be expected for such a glucose–tolerant individual and the second, highly resistant patient is well below it. Thus, sepsis (ss ≥ 3) would be ruled out in the first case by the negative predictive value of the test, despite other symptoms, and would not be ruled out (nor ruled in) in the second case. Finally, note that without the unit conversions, the simple insertion of these values into Equation (7) provides equivalently different values, which are equally useful as SSI if the ROC cutoff value is converted. Thus, simple data on the patient nutritional details and rates, as well as insulin given, can provide a real–time clinical output.

Figure 4 shows the correlation between model SI and SSI. The R2 value for the relationship is 0.68. This stronger correlation supports the similarity between the findings of the SI and SSI diagnostics, despite the small amount of sepsis hours available for the latter. This comparison between insulin sensitivities is for 7529 hours of the general ICU cohort of 143 patients. The comparison includes times when blood glucose values are changing by less than 7% and when insulin received is greater than 1 U/h. The latter constraint is applied to include only times when EGP is suppressed sufficiently. If the requirement is extended to those times at which a patient receives 1.5 U/h of insulin, the R2 value increases to 0.78 by eliminating the outliers as shown. Additionally, the model SI fit limits the values to 1e–5 liter mU−1 min−1 ≤ SI ≤ 1e–3 L mU−1 min−1, whereas SSI is unrestricted in value. These different limits have also reduced the correlation between SI and SSI. With the discretized nature of the sepsis definition used (ss ≥ 3), it is clear that some error must be present in the derivation of the ROC curves. This error may limit the reliability of the results. However, with limited blood culture and biomarker data available because of the retrospective nature of the study, this error was unavoidable.

Figure 4.

Figure 4.

Correlation between SSI and SI, the simple and model–based metrics for insulin sensitivity.

More specifically, for the sepsis score (ss) used in the study, a positive pathology culture is necessary to obtain a sepsis score of ss = 3. If this requirement is removed from the score and a diagnosis is defined as ss = 3, the diagnostic value of the test becomes

  • Sensitivity = 64%

  • Specificity = 70%

  • Positive predictive value = 30%

  • Negative predictive value = 91%

This definition also gives 16% of all patient time as having septic shock, which is relatively high. The change in the test statistics given earlier is likely because of the inclusion of other severe illnesses (known to also cause low SI values) in the group of patient hours defined as having sepsis for the purpose of this study. In short, it is impossible to be specific about the presence of very severe sepsis on an hour–to–hour basis to develop this metric without including the positive blood culture. This criterion thus minimizes the diagnosis of septic shock and sepsis being applied incorrectly in this study when a patient is presenting with general sepsis symptoms caused by other severe illnesses. Finally, note that this potential limitation on the score utilized does not limit the clinical utility of the SI or SSI metrics presented, as this criterion is only used to validate these metrics as presented.

Figure 1 and Table 5 also present another potentially interesting result, where no significant correlation appears between insulin sensitivity, SI, and the APACHE II score. Initially, this result might appear contradictory. However, the APACHE II score is typically measured at admission or in the first 24 hours and is thus a measure of the level of illness only at that point in time. Given that a patient's level of acute illness can evolve significantly over time, such as when developing sepsis later in a patient stay, the originally measured APACHE II score may not reflect those changes. Hence, as SI evolves dynamically over time with patient condition, any correlation to the APACHE II score will be lost. Additionally, a low SI can occur for a variety of reasons, not only sepsis, not all of which will have the same level of the APACHE II score, also making that correlation less significant or likely.

Finally, any model–based methods will have limitations. In this case, the parameter identification method and limited available data mean that only SI is patient–specifically identified. All other constant parameters (Pend, VG, VI, pG, n, k, αG, and aI) held at population averages. The Pend term representing EGP is held constant for lack of other available data, but is set to the middle of the range found by Chambrier and colleagues14 for sepsis patients. While this value may not be accurate for all patients, in Equation (1) it has the primary effect of shifting the results, thus raising or lowering the resulting SI profiles identified without changing their dynamics. Dynamic endogenous effects as a consequence of changing blood glucose levels are absorbed by the pG term in Equation (1), which ensures that these fundamental dynamics are accounted for, minimizing the uptake of other effects into the studied parameter, SI. Similar sensitivity and clinical prediction and glycemic control validation studies2125,28 have been done for the other population constant values in the model to justify the values used, as well as keeping them constant, in this study. However, greater levels of clinical data that allowed further, real–time patient–specific identification of other values could add resolution to the metrics and methods presented here.

Finally, patients who have type I or type II diabetes were excluded from this study. If these patients were to be included it is likely that the sensitivity and positive predictive value would be even lower than at present, as these patients will present with insulin resistance (at least in type II diabetic patients). The prevalence of type II diabetes is high and disproportionately so in some ICU settings,36,37 and it is expected that patients with type II diabetes will have longer hospital stays because of increased insulin resistance, further limiting some of the clinical applications of this study. However, this issue would not be expected to alter the negative predictive value of the metric proposed, although additional studies on these specific cohorts must be done to extend the methods used here for application in those cases.

Conclusions

High insulin sensitivity can rule out the presence of sepsis in a critically ill nondiabetic patient for the majority of their stay. Sepsis is ruled out when modeled insulin sensitivity is above SI = 8e–5 liter mU−1 min−1. This condition is met for 85% of all patient hours in this general ICU setting. Insulin sensitivity below 8e–5 liter mU−1 min−1can be because of either sepsis or other underlying conditions. The accuracy and flexibility of model–based insulin sensitivity give better reliability as a diagnostic for sepsis. However, insulin sensitivity can be evaluated reasonably accurately using estimated methods in real time using glycemic control protocol data. These estimated values provide similar negative predictive values. This preliminary study showed the potential of insulin sensitivity as a diagnostic metric for sepsis when used as a negative predictor; however, it will also require a larger validation study, including more complete blood culture data, to fully validate it for clinical use.

Abbreviations

APACHE II

Acute Physiology and Chronic Health Evaluation II,

EGP

endogenous glucose production,

ICU

intensive care unit,

IL

interleukin,

ROC

receiver operating characteristic,

SI

insulin sensitivity [model–based metric],

SSI

simple insulin sensitivity [hand–calculated metric],

ss

sepsis score,

SIRS

systemic inflammatory response syndrome,

SPRINT

specialized relative insulin and nutrition tables

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