Journal of Diabetes & Metabolism

ISSN - 2155-6156


Research Article - (2012) Volume 3, Issue 2

Dynamic Stress Factor (DySF): A Significant Predictor of Severe Hypoglycemic Events in Children with Type 1 Diabetes

Rawlings RA1,2, Yuan L3,4, Shi H5, Brehm W6, Pop-Busui R6,7 and Nelson PW1*
1Center for Computational Medicine and Bioinformatics, University of Michigan, USA
2Department of Biophysics, University of Michigan, USA
3Department of Mathematics, University of Michigan, USA
4University of Michigan Program in Informatics, University of Michigan, USA
5University of Michigan Medical School, USA
6Brehm Center for Diabetes Research, University of Michigan, USA
7Internal Medicine, Division of Metabolism, Endocrinology and Diabetes, University of Michigan, USA
*Corresponding Author: Nelson PW, Center for Computational Medicine and Bioinformatics, 100 Washtenaw Ave, University of Michigan, Ann Arbor, MI 48109-1055, USA, Tel: (734) 763-3408, Fax: (734) 615-6553 Email:


Hemoglobin A1c (HbA1c) is the current standard used in the clinical treatment of patients with diabetes. However, it has been shown that patients with similar HbA1c values may have widely different fluctuations in blood glucose values over the same period of time, including time spent in hyper- and/or hypo-glycemia. Hence, there exists a need for quantitative measures that can supplement HbA1c in managing patients with diabetes. We introduce and compare the Dynamic Stress Factor, DySF, a newly developed metric that quantifies glycemic volatility based on patient-specific glucose transition density profiles with HbA1c and with currently used glucose variability metrics in predicting severe hypoglycemia in children with type 1 diabetes. DySF, the daily weighted number of large monotonic glycemic transitions that occur within one hour, was calculated for 441 total subjects with type 1 diabetes (146 children, aged 8-14 yrs) to assess the magnitude and frequency of glucose transitions per day. Severe hypoglycemic episodes (HE) were quantified for all subjects and evaluated against HbA1c and existing measures of glucose variability, including SD, MAGE, MODD, and CONGA using logistic regression models. DySF was found to be a predictor of severe HE in children (p = 0.018) with the likelihood of a child, aged 8-14 yrs, experiencing severe hypoglycemia increasing by up to 20% with decreasing values of up to 60% of DySF. Patients of any age who had one or multiple severe hypoglycemic episodes had on average a lower DySF when compared to those with no HE. Additionally, when considering mean glucose levels, DySF/mean was a preliminary predictor of severe HE in patients with HbA1c ≤ 6.5% (p = 0.062). DySF is a dynamic, quantitative, measure of daily glucose “volatility” that separates patients, within the same strata of HbA1c, into visually distinct patient profiles. DySF can be used as a preliminary predictor of clinically severe hypoglycemia in children and “well-controlled” patients with HbA1c ≤ 6.5%.


CGM: Continuous Glucose Monitor; DySF: Dynamic Stress Factor; MAGE: Mean Amplitude of Glucose Excursions; MODD: Mean of Daily Differences; CONGA: Continuous Overall Net Glycemic Action, SMBG: Self-Monitored Blood Glucose


Emerging evidence suggests that chronic wide glucose fluctuations increase the risk of severe hypoglycemia and may be instrumental for the development of chronic diabetes complications. Therefore, development of sensitive tools to analyze blood glucose (BG) fluctuations and guide appropriate therapeutic changes to blunt wide BG excursions will have a critical role in preventing acute and chronic complications and improve quality of life in diabetic patients.

Continuous glucose monitors (CGMs) that record glucose levels at short, regular intervals throughout the day afford patients and physicians the flexibility to track glucose trends, evaluate frequency and severity of hypoglycemia including during nocturnal patterns, and assess individualized response to exercise and various other stressors. As the use of CGMs increases, conclusions previously drawn from single monitor blood glucose (SMBG) data can be tested against this more robust data set to guide optimization in individualized insulin regimens, to effectively prevent severe hypoglycemia, to blunt hyperglycemic peaks in response to meals and other stressors, and to evaluate the longer term consequences of glucose variability on the development of diabetic complications.

Traditionally, HbA1c is used to assess glycemic control and risk of complications in patients with diabetes [1,2]. However, emerging evidence suggest that glucose variability may also play an important role in assessing the risk for hypoglycemia and/or in the development of microvascular complications and cardiovascular disease [3-5] via several mechanisms including its role in oxidative stress and vascular pathology [6-8].

Several metrics to quantify glucose variability have been employed to date [9-12]. However, until recently the only data available for such studies were obtained through five- or seven-point single monitor profiles that provided only a restricted view of a patient’s glucose dynamics over 24 hours [1,13]. These discrete glucose measurements are limiting in both the amount of information available for the analysis of glycemic variability and the methods by which variability can be examined.Metrics currently used to quantify glucose variability include, but are not limited to, standard deviation (SD), mean amplitude of glycemic excursions (MAGE) [14], mean of daily differences (MODD) [15], and continuous overall net glycemic action (CONGA(n)) [16], and more recently standard deviation rate of change (SDRC), average absolute rate of change (AARC) [17], glucose error grid analysis (CGEGA), and prediction-error grid analysis (PRED-EGA) [18]. None of these, however, fully address the issue of glucose volatility in the context of hypoglycemia.

We have previously reported the development of the CGMGUIDE [19], an easy-to-use tool, that provides researchers and clinicians with a superior assessment of a patient’s glucose landscape. The interface calculates and displays multiple metrics from inputted CGM data, offering not only a multifaceted approach to studying glucose variability, but also a means to investigate variability with more information-rich data sets.

Here, we report a new sensitive metric, DySF, which was developed with the CGM-GUIDE, which performs superiorly in quantifying glucose volatility by taking into account the speed and magnitude of glycemic excursions between clinically-defined states. DySF employs the recently developed transition density profile from CGM-GUIDE© [19], which analyzes glucose excursions and transitions across different glycemic ranges, to predict the likelihood of onset of severe hypoglycemic episodes in a cohort of patients with type 1 diabetes. Based on continuous glucose dynamics, DySF is thereby a measure of a patient’s daily glucose “volatility”.

Research Design and Methods

We analyzed publicly archived CGM data from the Juvenile Diabetes Research Foundation (JDRF) Continuous Glucose Monitoring Randomized Trial [20]. Trial protocol has been described previously in detail [20]. Briefly, the enrollment criteria were children and adults with type 1 diabetes mellitus (T1DM) for more than 1 year (aged 8 to 85 yrs), use of either an insulin pump or at least three daily insulin injections, and HbA1c < 10.0%.

This analysis used CGM data and HbA1c levels collected at baseline from 441 T1DM patients with complete demographic and CGM data. Of the 441 patients analyzed, 32.4% were aged 8-14 yrs, 30.8% were aged 15-24 yrs and, 36.7% were ≥ 25 yrs. Patients were stratified into approximately equal percentages of subjects with HbA1c ≤ 7% or > 7% but can easily be stratified into any percentage based on clinical advise. Hypoglycemia was defined as a glucose value of < 70 mg/dL. A severe hypoglycemic event was defined as an event requiring the assistance of another person to actively administer carbohydrate, glucagon, or other resuscitative actions in the presence of seizure or coma [20].

DySF is the daily weighted number of large monotonic glucose transitions that occur in less than one hour. DySF is derived from transition density profiles, described in [19], with the exception of employing equally-spaced bin thresholds for DySF analysis (Figure 1). First, raw CGM data were partitioned into 40 mg/dL bins and exact transition points were established (Figure 1a,b). Second, the magnitude of every continuous monotonic change in glucose bin levels was sorted into the number of thresholds crossed (e.g. 2, 4, -3, -5) (Figure 1c). Negative numbers indicate monotonic decreases and positive numbers indicate monotonic increases in glucose levels. Third, transitions were separated into the time interval necessary to complete each change (i.e. < 1 h, between 1-2 h, 2-3 h, etc.). Finally, the frequency of each monotonic threshold crossing per day was plotted against the time interval needed to cross the indicated number of thresholds (Figure 1d).


Figure 1: Calculation of DySF through Transition Density Profiles. A) Patient input glucose data, illustrating the 40 mg/dL increments in alternating grey and white. B) Smoothed input data in bins. C) Blow-up of data in (B) highlighting the monotonic changes to be recorded in the D) Transition Density Profile which compiles monotonic changes that occur in a specific time interval. The shaded region shows all the monotonic transitions that occurred in less than 1 h. DySF is calculated as the sum of the number of transitions greater than one, weighted by the magnitude of the transition. (Example above: DySF = 0.3*|-7| + 0.3*|-3| + 2.6*|-2| + 1.75*|2| + 0.9*|3| + 0.9*|4| + 0.3 *|5| = 19.5. The weights listed as 0.3 and 2.6 for example are determined by the number of actual transitions occurred divided by the length of time the sample set is measured. Since there was one transition of -7 bins that occurred during the 5000 minutes or 3.4 days measured, we get 1/3.4 = 0.3 to be our weighted factor for this transition.)

DySF calculation has been added to the analytical software CGMGUIDE © (patent-pending) as the weighted daily number of (> |40| mg/dL) monotonic transitions that occur within one hour [19] (Figure 1d). To calculate DySF, a patient’s raw CGM data is first analyzed by the transition density profile method outlined above, using glucose bin threshold intervals of 40 mg/dL. Monotonic transitions (i.e. periods of monotonic threshold crossings) that occur within one hour and that exceed a magnitude of 1 threshold (40 mg/dL) are identified. Each transition is assigned a magnitude equal to the number of thresholds crossed during that transition (For example, a monotonic decrease in glucose level across three thresholds would be given a magnitude of -3). The sum of the absolute value of these scaled transition magnitudes is then divided by 24 to give the DySF units of weighted number of transitions per day (Figure 1d).

Robustness and sensitivity of DySF were evaluated for a range of choices in glucose threshold bin size (5 - 100 mg/dL) without observed improvement above the standard 40 mg/dL in correlation to HE. Additionally, bin sizes of 40 mg/dL correspond to clinically important glycemic boundaries. The maximum glucose sampling interval at which DySF could be consistently measured was evaluated as ≤10 minutes using pair-wise t-tests for 1 min, 5 min, 10 min, 15 min, and 30 min intervals.

A logistic regression model was used to predict the likelihood of observing a severe hypoglycemic episode in the 6 months prior to CGM monitoring. Covariates considered were mean glucose, standard deviation of mean glucose, standard deviation of transition speeds, DySF, MAGE, MODD, and CONGA [1].


DySF as an indicator of Severe Hypoglycemia in children with type 1 diabetes

The demographics and other clinical characteristics of this cohort were published in [20]. DySF was calculated at baseline for 441 T1DM patients where 53.02% were female, mean age was 24.6 years, and mean HbA1c was 7.4%. These patients had an average DySF of 7.14 ± 5.39 with a cohort minimum at 0.33 and maximum at 54.89. Patients grouped by age and HbA1c had an average DySF of 7.00 ± 3.90 (age 8-14), 8.78 ± 7.50 (age 15-24), 5.88 ± 3.91 (age ≥ 25), 5.88 ± 5.63 (HbA1c ≤ 7), and 7.78 ± 5.20 (HbA1c > 7). In addition, to assess overall glycemic variability, CGM-GUIDE profiles were created for all patients to calculate the most widely used glycemic metrics and statistics discussed in Methods. A representative CGM-GUIDE profile that includes most widely used glycemic metrics and statistics is shown in Figure 2a.

To predict the occurrence of hypoglycemic episodes, simple and multiple logistic regression models were fitted to the data and all glycemic metrics were compared (Figure 2 a-c). Among the T1DM patients analyzed who had a mean glucose ≤ 140 mg/dL at baseline, DySF divided by the mean glucose (DySF/mean) was the best predictor of the frequency of hypoglycemic episodes (p-value = 0.13) (Figure 2b). The ratio DySF/mean was also the best predictor of frequency of hypoglycemic episodes in T1DM patients with a baseline HbA1c ≤ 6.5% (p-value = 0.06) and in children aged 8-14 years (p-value = 0.018) (Figure 2b).


Figure 2: Dashboard of Glycemic Variability, Logistic Regression P-values, and Correlations of Previous Metrics to DySF. A) Glycemic Variability Profile for one patient with type 1 diabetes created by the CGM-GUIDE software [18]. Provides user adjustable bin thresholds, transition density profiles, statistics (mean, SD, glycemic times/areas), and metric calculations including DySF, CONGA, MODD and MAGE. B) Table of p-values from individual logistic regressions to predict the number of hypoglycemic episodes (HE) based on the described metrics. DySF shows the most predictive power among metrics in children 8-14 yr (p-value= 0.018). C) Correlation of previous statistics and metrics to DySF. Confidence intervals were obtained as the central 95% of correlation coefficients observed on the basis of 10,000 bootstrap samples (of size equal to the original sample). Dots represent the means of the resulting empirical distributions and are essentially equivalent to the one sample point estimates from the original data.

Correlation between DySF and HbA1c, mean glucose, and other glycemic variability metrics showed low overlap of information between metrics (Figure 2c). Pearson correlation between DySF and each of the other measures of glycemic variability demonstrated that DySF provided additional information about glycemic variability with the exception of CONGA and standard deviation of slopes (Figure 2c).

We also found that in this cohort of T1DM patients, individuals within the same level of HbA1c values demonstrated widely different DySFs, or volatilities, indicating patient-specific HbA1c-independent variations in glucose transition times and/or dynamic ranges. In addition, individuals who exhibited similar HbA1c levels (including individuals with HbA1c below 7.0%) had highly variable glucose volatility as measured by variable DySF. Individuals with the higher DySF values were those with poorer glycemic control as documented by HbA1c values larger than 7% (Figure 3). When comparing patients of any age who had zero, one, or multiple severe hypoglycemic episodes, average DySF values decreased incrementally with increased incidence of severe HE, 7.27 ± 5.6, 6.63 ± 4.23, 5.61 ± 3.47, respectively.


Figure 3: DySF Distinguishes Patients into Visually Distinct Classes Independent of HbA1c Level. A-B) Two individuals within the same HbA1c level (< 7) whose volatility is separated by DySF. C-D) Two individuals within the same HbA1c level (> 7) whose volatility is separated by DySF.

Based on DySF values, a logistic model was used to predict the likelihood of children, 8-14, experiencing severe hypoglycemia. Children in the study who had the lowest DySF values (close to zero) had a 20% higher probability of having at least one severe hypoglycemic episode that required the assistance of another person for resuscitative actions (data not shown).


DySF is a new metric for the measurement of glycemic variability that measures the volatility of a patient’s glucose dynamics by weighting the daily average of glucose transitions that occur in less than one hour. Usinglogistic regression models, DySF was found to be the most significant predictor of severe hypoglycemic episodes in children aged 8-14 years old, in patients with mean glucose less than or equal to 140 mg/dL (Figure 2b) and in patients with HbA1c < 6.5%. Lower DySF values corresponded to higher risk of hypoglycemia and were indicative of smaller and/or slower glucose transitions over time.

Several insights can be drawn from these results. First, we found that DySF/mean is a sensitive tool that can more favorably assess and predict patients’ risk for experiencing severe hypoglycemic episodes compared to HbA1c alone. We also confirm in a large sample of T1DM patients that low HbA1c levels can be misleading as an indicator of glycemic control. Patients with HbA1c below 6.5% are traditionally considered to have “well-controlled” diabetes [1]. We demonstrate in this cohort, that a lower HbA1c level (≤ 6.5%) may be the result of a high incidence of hypoglycemia as opposed to tighter glycemic control. We also show that by using DySF/mean, we are able to significantly enhance our ability to predict severe hypoglycemic events in patients with either low HbA1c, low mean BG and in children. This has very important clinical significance as it helps create a patient specific phenotype that can be used by clinicians to preventsevere hypoglycemic events.

Second, the association between DySF and the occurrence of severe hypoglycemic episodes was found to be most significant in children (aged 8-14 years) across all levels of HbA1c (Figure 2b). Subjects were observed to vary widely in DySF values within the same class of HbA1c, suggesting the degree of glucose fluctuations to be independent of HbA1c level. This allows DySF to provide a different perspective on glycemic variability from what HbA1c measures-namely, volatility.

Some studies have evaluated how children with T1DM identify severe hypoglycemic episodes [20], which is critical for their prevention. Gonder-Fredrick et al. demonstrated that children with type 1 diabetes failed to recognize greater than 40% of hypoglycemic occurrences, and Meltzer et al. observed that the average adolescent patient made irrelevant or inaccurate glucose estimations greater than 61% of the time [21,22]. Because HE often occur during times when patients fail to recognize symptoms associated with hypoglycemia, DySF can be used to assess the severity and speed of glycemic excursions and therefore can be an effective clinical tool to prevent HE and its serious consequences.

Lastly, the correlation between DySF and other glycemic variability metrics is relatively low, with often less than 50% of the variation in DySF being accounted for by other metrics (Figure 2c). This suggests that a combination of existing glycemic variability metrics and DySF will be best suited to assess different populations and/or varying disease complications. A recent study by Guerra et al. explored rates of change of glucose, using a deconvolution algorithm that introduces uncertainty in the model parameters and considers less than 30 minutes of glucose history to predict future risk [23]. Previous glucose variability metrics, such as MODD, are considered to be a measure of daily glucose consistency [16], MAGE a measure of fluctuation severity, and CONGA a measure of glucose lability [16], or the likelihood of undergoing any change in glucose level over a defined length of time. By introducing DySF, a measure of glucose volatility, we can now explore over much longer historiesof BG data, the long-term effects of changes in glucose speed and magnitude on patient outcomes. DySF therefore increases significantly the predictive power for hypoglycemia and other complications. In addition, we demonstrate that DySF offers tailored information about specific populations, such as children (8-14 years), or patients with various HbA1c levels.

Despite clear differences in their defining properties, to date existing glucose variability metrics are used either interchangeably or individually with statistics such as SD to assess overall glycemic variability. Cameron et al. demonstrated that glucose variability metrics, though correlated with each other in non-diabetic patients, are not correlated in diabetic populations [9]. Clarke and Kovatchev [24,25] have applied metrics for studying hypoglycemic events in patients using single monitor blood glucose (SMBG) measurements. Their studies show some predictive measures of future hypoglycemic events but the metrics were strongly correlated to the past history of time spent in lower glycemic ranges and did not consider the entire course of patient data which includes hypo and hyper regions as well as normal ranges. Thus, studies in diabetic populations that look at only one or two measures, or less sensitive measures of glucose variability, cannot comprehensively assess glycemic variability because these do not take into account the full range of glycemic states a patient may encounter over shorter or longer periods of time, nor the spectrum of transition profiles from these states [26-28], whereas glucose variability profiles such as those generated by CGM-GUIDE overcome this challenge.

DySF and CGM-GUIDE profiles may also prove to be superior to current individual metrics in evaluating the role of glucose variability in the development of chronic diabetes complications [19]. At present, low DySF is important in assessing trends in hypoglycemia; however, high volatility may become important when assessing chronic diabetes complications and disease progression.

Rapid glucose fluctuations have been hypothesized to incorporate “stress” into a patient’s system by increasing oxidative stress and contributing to the development of microvascular complicationsand cardiovascular disease [3-5,8,29,30]. However, others have questioned this concept [31]. The long-term effect of sustained volatility is the next pressing question in developing an improved picture of diabetes progression toward chronic conditions, especially in what are currently considered well-controlled populations. Towards this effort, researchers and clinicians are now able to apply DySF, in conjunction with HbA1c, as a tool to enhance their ability to understand type 1diabetes and to procure treatment options.


We thank James Henderson for his helpful discussion, and editing.These studies were supported by the NSF-DMS 0634590 to Dr. Patrick Nelson, 1R01HL102334-01 to Dr. Pop-Busui, NSF-AGEP to Dr. Renata Rawlings, and the UM-SUBMERGE undergraduate research scholarships to Lo-Hua Yuan and Hang Shi. No potential con?icts of interest relevant to This article were reported.

R.A.R. participated in research design, performance of research, data analysis, and writing the manuscript. L.Y. participated in performance of research, data analysis and editing the manuscript. H.S. participated in data analysis and writing and editing the manuscript. W.B. participated in research design. R.P. participated in research design, and editing the manuscript. P.W.N. participated in research design, performance of research and writing the manuscript.


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Citation: Rawlings RA, Yuan L, Shi H, Brehm W, Pop-Busui R et al. (2012) Dynamic Stress Factor (DySF): A Significant Predictor of Severe Hypoglycemic Events in Children with Type 1 Diabetes. J Diabetes Metab 3:177.

Copyright: © 2012 Rawlings RA, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.