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. 2026 Feb 17;5(2):e0001229. doi: 10.1371/journal.pdig.0001229

Narrowing the A1c gap: Personalized modeling of HbA1c– continuous glucose monitor discordance in type 1 diabetes

Simon Lebech Cichosz 1,*, Camilla Heisel Nyholm Thomsen 1, David C Klonoff 2, Irl B Hirsch 3, Morten Hasselstrøm Jensen 1,4
Editor: Krasimira Tsaneva-Atanasova5
PMCID: PMC12912621  PMID: 41701712

Abstract

This study aims to characterize the temporal discordance between CGM-derived glucose exposure and HbA1c over time in individuals with type 1 diabetes, and to explore the development of a statistical model to adjust the relationship between these measures based on previously observed individual discrepancies. We paired CGM-data in a 60-day window prior to each HbA1c measurement and included individuals with type 1 diabetes with multiple pairs to assess and model discordance over time. Discordance was defined as difference between HbA1c and Glucose Management Indicator at each pair. At baseline (first pair), participants were categorized into three groups based on the degree of discordance: positive (≥0.5%), negative (≤–0.5%), and neutral (within ±0.5%). A multiple linear regression model incorporating historical discordance values, HbA1c levels, and the current GMI was utilized for an adjustment. 477 individuals were included and 1,523 instances of paired HbA1c and CGM-data were analyzed. Absolute discordance of ≥0.5% was observed in 31% of cases. In 51% of instances, the direction of discordance in each pair was maintained. In the modeling analysis, GMI accounted for 69% of the variance in HbA1c levels (r = 0.83, p < 0.001, MAE = 0.42%). Adjusting improved variance explainability to 82% (r = 0.90, p < 0.001, MAE = 0.33%). HbA1c-CGM discordance is highly prevalent, and while inter-individual discordance shows some degree of persistence, it also appears to vary over time for a substantial proportion of individuals. Adjusting for individual discordance in the short term can improve the alignment between adjusted GMI and laboratory-measured HbA1c.

Author summary

The management of type 1 diabetes relies on two key tools: continuous glucose monitoring (CGM) and laboratory-measured HbA1c. While both measure sugar levels, they often disagree, leading to a “discordance” where a patient’s CGM-calculated average does not match their clinical blood test.

We found that clinically significant discordance is common, affecting 31% of cases. Importantly, while this discrepancy tends to persist in the short term, it is not permanent and can vary over longer periods, suggesting it is influenced by transient factors like behavior or biology rather than genetics alone. To address this, we developed a personalized statistical model that uses an individual’s historical data to “adjust” the CGM estimate. This adjusted GMI significantly improved the alignment with laboratory results. These findings provide a practical method for clinicians to better interpret glucose data, ensuring more precise and personalized care for people living with diabetes.

Introduction

In recent decades, continuous glucose monitoring (CGM) and glycated hemoglobin (HbA1c) have emerged as cornerstones in the management of diabetes, each providing crucial yet distinct insights into glycemic control. While CGM devices offer real-time data on interstitial glucose levels and facilitate dynamic tracking of glycemic variability throughout the day, HbA1c remains the standard for assessing long-term average glucose control over a period of approximately two to three months [1]. Large population-based studies evaluating patient prognosis over extended periods have traditionally relied on HbA1c measurements [2,3]. In addition, HbA1c is not only straightforward to measure but also represents a cost-effective biomarker widely utilized across healthcare systems [4].

Despite their shared objective of quantifying glycemic exposure, mounting evidence reveals that HbA1c and CGM-derived measures of glucose exposure, such as the glucose management indicator (GMI) [5], often diverge in clinically meaningful ways. The relationship between such biomarkers is neither linear nor universally consistent; significant inter- and intra-individual discordances have been observed that challenge our understanding of glycemic dynamics and complicate clinical decision-making [6]. A study analyzing 641 individuals with type 1 and type 2 diabetes reported that clinically relevant discordance between CGM estimated HbA1c and laboratory-measured HbA1c (≥ ± 0.5%) was observed in 50% of cases [7], a finding echoed across multiple trials and real-world studies [811].

HbA1c, a reflection of cumulative glycemic exposure, encapsulates not only the biochemical process of glycation but also physiological factors such as red blood cell turnover, individual differences in glycation rates, and potential variabilities in erythrocyte lifespan [1214]. These factors can contribute to discordance between the mean glucose levels recorded by CGM and the HbA1c values measured in clinical settings. For instance, two individuals with similar CGM profiles may exhibit markedly different HbA1c readings, raising concerns about over- or underestimation of glycemic exposure when relying solely on HbA1c for clinical decisions [1517].

Some studies have proposed that genetic or epigenetic factors may also influence the glycation process underlying HbA1c formation [18,19]. Furthermore, variations in the glycation ratio and the hemoglobin glycation index (HGI) [20] - the relationship between mean glucose and HbA1c - have been associated with potential adverse clinical outcome [15,2123]. Individuals with consistently elevated HbA1c despite comparable glucose levels may be considered “high glycators,” potentially facing greater microvascular risk [6,24,25]. Conversely, “low glycators” may face undertreatment when decisions are based solely on HbA1c. These observations underline the clinical importance of identifying and understanding factors driving the observed discordance.

Although several studies have identified discordance between CGM-derived measures of glucose exposure and HbA1c values [2632], the underlying associations remain inadequately characterized. A recent analysis of data from the GOLD and SILVER trials [33] demonstrated significant inter-individual variability in HbA1c relative to both mean glucose levels and time in range (TIR), with these deviations persisting over time to some extent. However, it remains unclear how these observed inter- and intra-individual differences in discordance can be leveraged to develop improved models that correlate CGM data with HbA1c, especially important as clinical decisions today rely on smaller and smaller differences in HbA1c [19,34]. Enhancing this concordance could potentially provide a more precise assessment of individual glycemic risk, thereby informing clinical decision-making and the evaluation of therapeutic interventions - particularly in scenarios where simultaneous measurements across both modalities are not feasible or consistent.

This study aims to characterize the temporal discordance between CGM-derived glucose exposure and HbA1c in individuals with type 1 diabetes over time, and to explore the development of a statistical model to adjust the relationship between these measures based on previously observed discrepancies.

Methods

The study design includes a characterization of temporal discordance in individuals with diabetes using long-term CGM data with multiple associated HbA1c measurements and an exploration of a modeling strategy for minimizing this discordance. A schematic overview of the methodological framework - including data preprocessing, analytical techniques, and modeling approach - is presented in Fig 1.

Fig 1. Overview of the study approach.

Fig 1

(Data): Raw data were preprocessed to generate paired HbA1c measurements and corresponding CGM data from a defined period preceding each HbA1c test. (Analytics): Discordance between HbA1c and CGM-derived metrics was quantified for each pair and analyzed longitudinally. Individuals were grouped based on baseline discordance, and their trajectories were followed through the second and third measurement pairs. (Modeling): A statistical model was developed to adjust the Glucose Management Indicator (GMI) based on previously observed discordance and HbA1c levels.

Study data

This analysis utilized data from two studies on individuals with type 1 diabetes.

Cohort A: The T1DiabetesGranada study [35], collected CGM over a four-year period from 736 individuals with type 1 diabetes (T1D) residing in Granada, Spain. The primary device employed throughout the study was the FreeStyle Libre 2, though the initial phase involved the use of the first-generation FreeStyle Libre device. Biochemical parameters, including HbA1c, were scheduled for collection every three to six months, depending on the assessment and recommendations of the patient’s physician.

Cohort B: Data from the REPLACE-BG trial [36]. The study was designed as a 6-month, multicenter, parallel-group, randomized clinical trial. The primary objective was to evaluate the safety and efficacy of routine CGM use without confirmatory blood glucose testing. Eligible participants were adults with type 1 diabetes using insulin pump therapy with a HbA1c level below 8.5% and no history of severe hypoglycemia or hypoglycemia unawareness. A total of 225 participants were enrolled and used CGM (Dexcom G4) for a period of up to six months. HbA1c measurements were collected at baseline, 13 weeks, and 26 weeks.

Preprocessing

For this analysis, patient data were evaluated from both the randomized trial (intervention and control groups; Cohort B) and an observational study (Cohort A). Inclusion criteria for the current analysis required patients to have instances of at least 14 days of active CGM use within the 60-day period preceding a laboratory-measured HbA1c and a minimum of two HbA1c measurements with such paired CGM. This approach has also been employed in previous research [33]. An overview of the data selection process is illustrated in Fig 1 (“Data”).

All raw glucose traces were extracted at their native sampling frequency (5- or 15-minute intervals), and duplicate entries were removed. Periods affected by sensor dropout or physiologically implausible glucose values (<40 mg/dL or >400 mg/dL) were excluded. To avoid introducing bias, no temporal interpolation was applied [37]. CGM data cleaning and computation of paired metrics were performed using specialized software designed for standardized processing of glucose time-series data [38].

Discordance assessment

The analysis aimed to assess the association between the Glucose Management Indicator (GMI) [5] and laboratory-measured HbA1c, using paired GMI–HbA1c values derived from the combined data sources (Cohorts A and B). GMI is a metric derived from the mean glucose measured by CGM and serves as a standardized estimate to facilitate direct comparison with HbA1c.

Discordance formula:

GMI(%)= 3.31 + 0.023921NiindCGMi [ mg/dL]Discordance =A1cGMI

We examined whether individual-level discordance in the HbA1c–GMI relationship persisted over time, aiming to identify participants who consistently deviated. Clinically relevant discordance was defined as an absolute difference of ≥0.5% between GMI and HbA1c. The proportions of participants exceeding these thresholds were calculated from the data. At baseline (first GMI – HbA1c pair), participants were categorized into three groups based on the degree of discordance: positive discordance (≥0.5%), negative discordance (≤–0.5%), and neutral (within ±0.5%). This classification enabled the assessment of discordance persistence across subsequent HbA1c– GMI pairs (second and third). Additionally, to evaluate whether discordance persisted over time, we examined the relationship between the time interval from baseline to each subsequent measurement pair and the corresponding absolute discordance magnitude. For each individual, time intervals were calculated as the number of days between the baseline assessment and each follow-up measurement. Pearson correlation analysis was then performed to quantify the association between time interval and absolute discordance. This approach allowed us to assess whether longer intervals were associated with attenuation or persistence of discordance over time.

Modeling and assessment approach

We hypothesized that discordance between estimated and laboratory-measured HbA1c exhibits a substantial, linearly modellable influence on future discordance. To test this, we employed a multiple linear regression model incorporating individual prior discordance value, last (prior) HbA1c level, and the current calculated GMI (independent variables) to predict the current HbA1c level (dependent variable). Use of a linear multi-parameter regression model was motivated by its interpretability and the ability to clearly quantify the contribution of individual predictors: an aspect particularly relevant for clinical understanding and adoption.

This model aimed to generate an individualized, adjusted GMI value, which we hypothesized would more closely approximate the patient’s current laboratory-measured HbA1c.

Additionally, we explored whether including demographic variables - specifically age and gender -as independent predictors could further improve the accuracy of the adjusted estimates.

Additionally, we conducted supplementary analyses using a generalized additive model (GAM) with 5-fold cross-validation to assess potential nonlinear relationships. The GAM included the same dependent and independent variables as the linear model, and its performance was directly compared with that of the linear model.

Statistical analysis

Descriptive statistics were calculated for demographic and clinical characteristics. Continuous variables are reported as mean ± standard deviation (SD) or median with interquartile range (IQR), as appropriate. Categorical variables are presented as counts and percentages.

Model performance was evaluated using the Pearson correlation coefficient, the coefficient of determination (R2), and the mean absolute error (MAE) between predicted and observed HbA1c values. As a sensitivity analysis, we conducted evaluations across the full dataset as well as within subgroups characterized by clinically relevant positive and negative discordance. For comparisons of predictive performance between models, dependent correlation coefficients derived from the same sample were statistically compared using the Meng, Rosenthal, and Rubin test. This test accounts for the dependency between correlations arising from the shared outcome variable and provides a p-value to assess significance. To evaluate differences in central tendency between measurements across discordance groups classified at baseline pair, the Kruskal–Wallis H test was used for comparisons of median discordance values at each pair (baseline, 2nd, 3rd). This nonparametric test accounts for the non-normal distribution of discordance measures. All statistical analyses were performed in MATLAB R2025a, and p-value < 0.05 was considered statistically significant.

Ethics statement

The presented study is a reanalysis of existing and anonymized data from the T1DiabetesGranada/ REPLACE-BG clinical trials. The presented study in this paper did not need any approval form institutional and/or licensing committee, cf. Danish law on “Bekendtgørelse af lov om videnskabsetisk behandling af sundhedsvidenskabelige forskningsprojekter og sundhedsdatavidenskabelige forskningsprojekter” (Komitéloven, kap. 4, § 14, stk. 3). We confirm that all methods were carried out in accordance with relevant guidelines and regulations. The original REPLACE-BG protocols and informed consent forms were approved by the institutional review board. Written informed consent was obtained from each participant prior to enrollment. An independent data and safety monitoring board provided trial oversight reviewing unmasked safety data during the conduct of the study. The T1DiabetesGranada study was reviewed and approved by the Ethics Committee of Biomedical Research of the Province of Granada (CEIm/CEI GRANADA), protocol code K134665CRL, ethics portal code 0698-N-21.

Results

A total of 477 individuals with type 1 diabetes were included in the study. Across these participants, 1,523 instances of paired HbA1c measurements and corresponding CGM data were analyzed. The mean age of participants was 40 ± 16 years, and 274 of 477 (57%) were female. During the analyzed CGM periods, the mean HbA1c was 7.3 ± 1.0% (56 ± 11 mmol/mol), and the corresponding mean glucose was 163 ± 31 mg/dL (9.0 ± 1.7 mmol/L). The median duration of CGM data available for each HbA1c pair was 53.7 days (interquartile range: 38.5–58.0 days). The median time between cases with paired HbA1c measurements was 126 days (interquartile range: 90–196 days).

Discordance

Among all paired measurements, an absolute discordance of ≥0.5% and ≥1% was observed in 31% and 7% of cases, respectively. Overall reclassification (positive or negative) rate from one measurement pair to the next across all available data was 49%. Similar prevalences were observed across analytical cohorts A and B; detasils are reported in S1 Text.

Participants classified as positive, neutral, or negative discordance at baseline continued to exhibit significantly different discordance values at subsequent visits. This was supported by a highly significant Kruskal–Wallis test (p < 0.001) and confirmed by post-hoc pairwise comparisons between all groups (all, p < 0.001), demonstrating stability of the discordance phenotype.), Fig 2. A Sankey diagram, Fig 3, show specifically how the group, positive/negative, trajectory from baseline to the 2nd and 3rd paired measurements – this indicates that a proportion (42% for positive group/ 47% for negative group) of individuals remain in their initial group. We observed similar trends across both analytical cohorts, as presented in S1-S4 Figs and S1 Text.

Fig 2. Discordance groups over time.

Fig 2

The development in discordance in the groups – positive (discordance ≥0.5), neutral (-0.5 > discordance<0.5) and negative (-0.5≤) - from baseline to the first and second measurement.

Fig 3. Discordance group progression over time.

Fig 3

Sankey plots show the progression from the baseline discordance groups (left) – positive and negative – over time to measurement 1 (center) and measurement 2 (right).

Furthermore, correlation analysis between the time interval from baseline and absolute discordance magnitude revealed a negative correlation (r = -0.17, p < 0.006). These findings suggest that while discordance may exhibit short-term persistence, it is not necessarily stable over longer time intervals for all individuals.

Modeling

In the modeling analysis, the GMI accounted for 69% of the variance in HbA1c levels (r = 0.83, p < 0.001), with a mean absolute error (MAE) of 0.42%. Incorporating the most recent observed discordance and HbA1c as additional predictors improved the model’s performance (p < 0.001), explaining 82% of the variance (r = 0.90, p < 0.001) and reducing the MAE to 0.33%. The inclusion of demographic variables such as age and gender did not contribute further to the explanatory power of the adjusted GMI model. Adjusting for CGM model resulted in a marginal improvement in performance (R2 = 0.82, r = 0.91, MAE = 0.32%, p < 0.001); however, to enhance generalizability beyond the specific sensors investigated, this adjustment was not included in the final model. Fig 4 presents scatter plots comparing measured HbA1c with both GMI and adjusted GMI.

Fig 4. Comparison of unadjusted and adjusted models.

Fig 4

Scatter plots display the relationship between HbA1c and GMI before (unadjusted) and after (adjusted) model calibration. Each plot includes the Pearson correlation coefficient (r), coefficient of determination (R2), and mean absolute error (MAE) to assess model performance.

Focusing specifically on the positive discordance group, the unadjusted model yielded an MEA of 0.57%, which decreased to 0.40% following adjustment for the most recent discordance and HbA1c (p < 0.001). In the negative discordance group, the MEA was reduced from 0.66% to 0.35% after similar adjustment (p < 0.001). Fig 5 displays the corresponding scatter plots for the positive and negative discordance groups, illustrating the relationship between measured HbA1c and both unadjusted and adjusted GMI values. The following formula was used to calculate the adjusted GMI values:

Fig 5. Subgroup comparison of adjusted and unadjusted models.

Fig 5

Performance of the unadjusted and adjusted models is compared separately for (A) individuals with prior positive discordance and (B) individuals with prior negative discordance. Mean absolute error (MAE) is reported for each subgroup to illustrate improvements in predictive accuracy following adjustment.

Adjusted GMI:

aGMI(%)= β0 + GMI·β1 + prior Discordance·β2+ last HbA1c·β3
β0=0.447β1=0.913β2=0.519β3=0.148

Overall, the GAM approach (non-linear) performed slightly worse than the linear model. Across the full cohort, the cross-validated R2 for the GAM was 0.78, compared with 0.82 for the linear model. Similarly, the Pearson correlation between observed and predicted HbA1c was r = 0.88 for the GAM versus r = 0.90 for the linear model (p < 0.05). These results suggest that incorporating nonlinear effects via GAM did not substantially improve predictive performance in this dataset. The linear regression model therefore provides a simpler and more interpretable approach for predicting HbA1c based on GMI, prior discordance, and recent HbA1c.

Discussion

In this study, utilizing data from two clinical trials comprising 477 individuals with long-term CGM and multiple paired HbA1c measurements, we observed both inter- and intra-individual discordance between laboratory-measured HbA1c and the GMI derived from CGM data. These inter-individual differences were clinically meaningful, with substantial HbA1c deviations (>0.5%) identified in 31% of cases. Our findings indicate that discordance exhibited some degree of intra-individual persistence over time. However, for many individuals this discordance does not seem stable over longer timespans. Incorporating prior knowledge of individual discordance patterns enabled the development of an adjusted GMI, which improved alignment with observed HbA1c values. The addition of demographic variables, such as age and gender, did not further enhance the model’s predictive performance.

Previous studies examining the relationship between mean glucose levels from CGM and HbA1c have reported correlation coefficients ranging from r = 0.73 to 0.80 [29,31,39,40], consistent with our findings. However, by incorporating prior discordance into our model, we were able to improve the correlation coefficient and explained variance in HbA1c from 69% to 82%, while also significantly reducing the mean absolute error. A recent study by Isaksson et al. [33] reported persistence in discordance over the duration of the trial; our results build upon this by demonstrating that while discordance may persist short term, it does not appear to be stable over longer periods. In both the positive (≥0.5%) and negative (≤-0.5%) discordance groups, the magnitude of discordance slowly declined over time. This trend suggests that discordance may, for some individuals, be influenced more by modifiable or transient factors - such as behavioral, hormonal or psychological variables - rather than by fixed inter-individual characteristics like genetics. For instance, menopause in women has been associated with elevated HbA1c levels independent of actual glucose concentrations, potentially because of hormonal changes and altered red blood cell turnover [41]. Also, CGM coverage appears to be linked to adherence. As recently demonstrated by Cichosz et al., days with lower CGM coverage were associated with reduced inter-individual time in range in a cohort of 97,000 participants, encompassing both clinical study and real-world data from individuals with type 1 and type 2 diabetes [42]. Individual variability in red blood cell (RBC) lifespan may represent an etiology of glycemic discordance, as highlighted by recent work from Xu et al [43]. Recently, Cohen et al. presented initial findings on adjusting for these individual differences in lifespan [44]. Additionally, sensor accuracy may contribute to observed discordance, as performance can vary both between CGM devices and within individuals over time. Supporting this, Freckmann et al. [45] demonstrated significant variability across different CGM systems in comparative testing.

Implications

The findings from this study, particularly regarding the temporal dynamics of discordance and the proposed adjustment to GMI, have several clinical and research implications. First, in cases where substantial discordance is observed in clinical practice, further investigation may be warranted to identify underlying causes and if persistence exists for the individual - especially physiological conditions such as iron deficiency or menopause that can affect HbA1c. Second, recognizing that discordance may persist temporarily but is unlikely to be permanent, in general, is important when evaluating CGM and HbA1c in therapeutic decision-making. However, further investigation into the discordance between HbA1c and GMI with newer sensors (such as the G7, Simplera, and Libre 3 [45,46]), particularly the impact of sensor switching on this discordance, is warranted. Thirdly, the proposed model offers a straightforward method for adjusting GMI in the absence of a paired HbA1c measurement, which can enhance its utility in routine clinical practice.

Finally, our findings contribute to the growing body of evidence highlighting substantial clinical discordance between the GMI and HbA1c across various diabetes subpopulations. Recent work by Elizabeth Selvin [32] has underscored that GMI and HbA1c are not consistently correlated at the individual level, prompting the argument that the GMI concept may have outlived its clinical utility. In light of our results and those of others, we advocate for a re-evaluation of the GMI formula, taking into account: (1) diabetes subtype, (2) type of CGM sensor used, and (3) clinical and biological confounders that may influence HbA1c and potentially CGM-derived metrics. These often-overlooked factors must be considered to develop either a universally applicable or phenotype-specific GMI. While our present study illustrates the potential for such tailored adjustments, it should not be interpreted as a definitive or universal solution.

To date, HbA1c remains the standard reference metric for assessing glycemic control in individuals with diabetes mellitus, primarily because of its established association with the risk of microvascular and long-term macrovascular complications [47]. However, this assumption has been called into question, with emerging evidence suggesting limitations in its reliability across diverse patient populations and clinical contexts [48]. HbA1c is affected by multiple non-glycemic factors that can cause substantial inter-individual variation in glycation, highlighting that HbA1c can misrepresent a patient’s true glycemic exposure. While CGM-derived metrics such as time-in-range (TIR), glycemic variability, the Glycemia Risk Index and other may provide superior insights into therapeutic efficacy [40,49] and may also serve as stronger predictors of diabetes-related complications [50,51], access to continuous CGM remains limited in some groups of diabetes and regions [52], particularly among individuals with type 2 diabetes. For many in this population, glycemic control is still predominantly assessed via HbA1c. In this context, intermittent CGM use can be a valuable strategy, particularly in the early stages following a type 2 diabetes diagnosis, to establish individualized glycemic profiles that can inform treatment decisions and monitor disease progression [53]. Moreover, intermittent CGM use can enhance patient understanding of their condition and support insulin titration when needed [53]. For individuals with limited or occasional CGM access, understanding and adjusting for discordance between CGM-derived metrics and HbA1c is clinically important to ensure accurate interpretation and to guide optimal therapeutic interventions.

Strengths and limitations

A key strength of this study is the inclusion of a large, heterogeneous cohort of individuals with type 1 diabetes, each contributing multiple paired CGM and HbA1c measurements. The extended follow-up period of up to four years further allowed for the assessment of sustained patterns of CGM-HbA1c discordance over time. However, this study has several limitations. We lacked sufficient data on ethnic differences, conditions such as anemia and other blood disorders, which are known to potentially influence HbA1c levels. Additionally, detailed information on individual treatment regimen and temporal changes in therapy during the observation period was not collected, precluding an evaluation of their potential impact on glycemic metrics. Paired CGM profiles were included for each HbA1c value if at least 14 days of CGM data were available within the 60 days preceding the HbA1c measurement. Although CGM data availability was generally high, the selected time window may not fully capture long-term glycemic patterns represented by HbA1c, particularly in patients with unstable glucose control. This methodological constraint may have led to underrepresentation of true long-term glycemic status in some cases. Although we observed similar trends across both cohorts using two different glucose sensors, advances in sensor technology have generally reduced the error between interstitial and blood glucose measurements. A future longitudinal study investigating discordance with modern sensors is needed to better understand the variability in discordance.

Conclusions

HbA1c-CGM discordance is highly prevalent, and while inter-individual discordance shows some degree of persistence with this older generation of sensors, it also appears to vary over time for a substantial proportion of individuals. Adjusting for individual discordance in the short term may improve the alignment between adjusted GMI and laboratory-measured HbA1c. This approach could be particularly valuable for individuals with diabetes who have limited or intermittent access to CGM, or in clinical settings where paired CGM and HbA1c measurements are not consistently available for longitudinal assessment of glycemic control. Nonetheless, there is a need to revisit the GMI formula with consideration of additional influencing factors.

Supporting information

S1 Text. Additional individual analytics for each data source included in the main analysis.

(DOCX)

pdig.0001229.s001.docx (13.4KB, docx)
S1 Fig. Discordance group progression over time (Cohort A/ The T1DiabetesGranada study).

Sankey plots show the progression from the baseline discordance groups (left) – positive and negative – over time to measurement 1 (center) and measurement 2 (right).

(DOCX)

pdig.0001229.s002.docx (107.1KB, docx)
S2 Fig. Discordance group progression over time (Cohort B/ The REPLACE-BG trial).

Sankey plots show the progression from the baseline discordance groups (left) – positive and negative – over time to measurement 1 (center) and measurement 2 (right).

(DOCX)

pdig.0001229.s003.docx (113.3KB, docx)
S3 Fig. Discordance groups over time (Cohort A/ The T1DiabetesGranada study).

The development in discordance in the groups – positive (discordance ≥0.5), neutral (-0.5 > discordance<0.5) and negative (-0.5≤) - from baseline to the first and second measurement.

(DOCX)

pdig.0001229.s004.docx (46.6KB, docx)
S4 Fig. Discordance groups over time (Cohort B/ The REPLACE-BG trial).

The development in discordance in the groups – positive (discordance ≥0.5), neutral (-0.5 > discordance<0.5) and negative (-0.5≤) - from baseline to the first and second measurement.

(DOCX)

pdig.0001229.s005.docx (46KB, docx)

Acknowledgments

Disclaimer: The source of the data is from the T1DiabetesGranada/ REPLACE-BG trial, but the analyses, content and conclusions presented herein are solely the responsibility of the authors and have not been reviewed or approved by trial group(s).

Data Availability

The data used in this study were obtained from the T1DiabetesGranada and REPLACE-BG trials. Access to the T1DiabetesGranada dataset is subject to restrictions and was granted specifically for this research. Researchers interested in accessing this dataset should contact the original data custodians; further information is available: http://doi.org/10.1038/s41597-023-02737-4 . Access to the REPLACE-BG trial data can be requested through the JAEB Center for Health Research: https://public.jaeb.org.

Funding Statement

This work was supported by i-SENS, inc. (www.i-sens.com) (approx. 2.1 MDKK to SLC). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

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PLOS Digit Health. doi: 10.1371/journal.pdig.0001229.r001

Decision Letter 0

Krasimira Tsaneva-Atanasova

3 Dec 2025

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Reviewer #3: Yes

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Reviewer #1: The study addresses an interesting topic on HbA1c–GMI discordance in type 1 diabetes, but there are some limitations that affect its current suitability for publication. The novelty is limited, as similar analyses have been published before, and the study relies entirely on previously published datasets without any primary data collection, which reduces the strength and generalizability of the findings. The modeling approach also raises concerns because lack of clarity on predictor and outcome parameters, and the temporal claims are not fully supported, since within-subject changes over time are not robustly accounted for. Additionally, important methodological details, such as CGM data handling and HbA1c measurement protocols, detailed methodology, are missing, and the clinical applicability of the findings remains unclear. Addressing these points would substantially improve the study.

Reviewer #2: The paper is interestin and investigates a long standing problem, which not many people in the medical field understand. It is important and timely.

Regarding the model: the model is linear, based on multi-parameter regression. But the matter investigated may not be linear. Have the authors tried nonlinear methods for investigation?

Perhaps a nonlinear regression may address even better.

Or another nonlinear simple model, such as Artificia Neural Network.

Reviewer #3: This study by Cichosz and colleagues aims to characterise the temporal discordance between CGM-derived glucose exposure (defined by GMI) and laboratory measured HbA1c in individuals with type 1 diabetes, and evaluates a statistical approach for adjusting GMI based on previously observed discrepancies. Across all CGM-HbA1c paired measurements, absolute discordance ≥0.5% was observed in 31% cases. In 51% of sequential pairs individuals maintained the same direction of discordance positive vs negative (ie. systematically higher or lower HbA1c relative to GMI) and a notable proportion preserved this across baseline, measurement 1 and measurement 2. However, discordance magnitude declined over time. To address this persistent (but variable) discordance the authors propose an individualised method to adjust GMI, using a multiple linear regression model (fixed effects only) incorporating current GMI with historical discordance values and most recent HbA1c. They find that incorporating these additional predictors improved the model’s performance overall, explaining 82% of the variance (r = 0.90, p < 0.001) and reducing the MAE to 0.33%, finding similar reductions in MEA by restricting to individuals with prior high positive discordance or prior high negative discordance.

This is a timely and relevant study addressing an important issue in CGM metrics used in clinical care. Overall, the manuscript is well written, the data presented are robust and the primary conclusions are supported by the analyses. Appropriate statistical analysis have been applied, although several methodological details would benefit from clarification, in addition to my other comments below. The comments below aim to strengthen the clarity, interpretability, and clinical framing of the manuscript.

Introduction

Minor:

• Lines 66 remove “individual involving”

• Lines 66-68 “A study analyzing 641 individuals…. reported that clinically relevant discordance between CGM estimated HbA1c and laboratory-measured HbA1c (≥ ±0.5%) was observed in 72% of cases”:This study actually reported 50% ≥±0.5%. I think the authors have summed 50% and 22% reported for >0.5 and >1% (however the 22% would be part of the 50% reported). From the original paper: “Only 11% of our patients had discordance <0.1%, while 50% and 22% had differences ≥0.5% and ≥1%, respectively.” See fig 3 in original report.

• Although cited elsewhere, Selvin et al 2024 earlier in the report may be beneficial as this contains the majority of studies comparing GMI and HbA1c concordance

Methods

• The group names of high and low discordance is confusing. The authors refer to high discordance (≥0.5%), low discordance (≤–0.5%) however then describe it as positive and negative discordance groups elsewhere ie. line 149 and Figure 5 with the text starting line 203 not reflecting this either for example. While I understand that you may mean systematically higher or lower HbA1c relative to GMI, when discussing directionality it is clearer to use Positive and Negative (and Neutral) for your groups because an absolute discordance of 0.5% is “high” regardless. Low suggests “a small amount of discordance”.

• Some restructuring of the methods section to include a statistical analyses section would be beneficial for clarity of methods and consequently results. Some points to include here but not limited to:

-What test was used to compare within groups? (and what groups are compare ie. within discordance phenotype across time or between discordance phenotype at each time point - See later comment on Figure 2 results.)

-Alpha level?

-What stats software was use for analysis?

-Can move modelling performance assessment criteria to here.

-Can outline here for eg use of Pearson correlation analysis for correlations (including your time and discordance magnitude correlation assessment).

• In Figure 1 “data” what is the blue part of the bar? This suggests that some part of the 60 days of data didn’t have CGM available systematically? Please describe in methods if so. Of note, as referenced to the GOLD and SILVER study applying a similar look back period: they outline that “The CGM systems used in the current study store up to 30 days of active CGM data. In the current analyses, CGM data from GOLD and SILVER trials comprising a minimum of 14 days of active CGM measurements within 60 days before laboratory HbA1c were included”….. in which they describe in their Figure 1 translates to a maximum of 30 days of active CGM data per 60 period. On line 170: The median duration of CGM data available for each HbA1c pair was 53.7 days (interquartile range: 38.5–58.0 days), suggests similarly that at least one of the systems used can’t store >30 days of data whereas the other can.

-This may be worth a comment to outline this as this means that GMI from one system will only ever be based on 30 days of data vs from another system could be based on >30-60 days of data.

-I would like to know the split of the studies in the finial inclusion and to know the split of devices ie. Libre vs Dexcom– this comment could extend to creation a table of characteristics see results section.

• Figure 1 would benefit with some additional labelling to make it understandable without having to read the entire paper since it is referenced in Methods.

-Would prefer positive/neutral/negative groups labelled see earlier comment.

-Include measurement 1 and 2 under the box plot clusters and the legend key of the baseline discordance group per colour?

-Some short text that describe the analytic methods section. For example: “Discordance reclassification assessed with Sankey plots” above the Sankey plot image, above box plots: “Persistence of baseline discordance direction assessed at each measurement time point”?

Minor

• Lines 123-125 describing inclusion criteria and Figure 1 don’t seem to align. Do you mean that, for a HbA1c measurement to be included it had to be preceded by at least 14 consecutive days of active CGM use within the prior 60 days? And participants needed more than one such CGM-HbA1c pair to contribute to the longitudinal analyses? If so could reword to something similar, otherwise the way it is currently worded seems to suggest that each 60-day period per HbA1c must contain multiple (at least) 14-day blocks -which doesn’t seem rational.

• Lines 149-150 you describe the method of the Pearson correlation analysis with time interval for to evaluate its influence on discordance persistence over time. You actually describe this clearer in the results as a correlation analysis between the time interval from baseline and absolute discordance magnitude. You use persistence when referencing to the reclassification of discordance direction ie. High-high-high which confuses the intial statement in the method. Consider rewording the methods sentence to reflect what you describe in the results.

• Add (r) after Pearson correlation coefficient

Results

Minor

• Does the 51% relate to figure 3? If so why is this not referenced here. If not then perhaps some clarification.

• Adding the percentages to the Sankey alluviums would be helpful in Suppl fig 1 and Figure 3.

• Lines 182-183 you state a proportion of individuals remained in their initial groups. Could you state the percentage. (above bullet may also help address this)

• Figure 2 would be easier to interpret if methods have more description. It would be unclear to the brief reader if comparing within baseline discordance phenotype across time ie all yellow boxes across time, or within each time point between all discordance groups. I am assuming that you are comparing the latter, ie between discordance phenotypes at each timepoint.

-Addition of the pvalue to the graph here above each time point may help. (as well as a sentence in statistical analyses methods paragraph that can better describe this and the tests you are using ie.: “Participants were classified at baseline into three discordance categories (Positve, Neutral, Negative) based on the baseline A1c–GMI difference. These baseline-defined groups were carried forward without reclassification. At Measurement 1 and Measurement 2, new discordance values (A1c–GMI) were calculated for each participant and compared across the three baseline groups. Because discordance was non-normally distributed (?), between-group differences at each timepoint were evaluated using the Kruskal-Wallis test with alpha = 0.05….” (replace with the test you used)

-You could also make the result clearer described ie.” A significant p-value at subsequent visits (p < 0.001) indicated that participants classified as Positive, Neutral, or Negative discordance at baseline continued to exhibit significantly different discordance values at subsequent visits, supporting stability of the discordance phenotype.”

• Supplementary S4 is mislabelled as S3.

• Could add “GMI” and “adjusted GMI” on the x axis on Fig 4 not just “Estimated” for clarity

• Your equation for GMI uses historic discordance as stated on lines 155-156. Perhaps adding the word “last” to the equation box would be helpful (like you have “last hba1c”).

• Was there a reason to not include the neutral group in the Sankey diagram on Fig 3 / suppl fig 1? They were present in the Fig 2 box plots

Discussion

• There been a (very recent) proposal of an updated GMI (uGMI) metric from Bergenstal et al (July 2025 ADA abstract OR165) which accounts for population-based red blood cell factors as well as its utility in Shah et al., 2025 Diabetes Care. Some comment on this upon revision would be welcomed.

• A further point I would appreciate adding to the discussion is that while the authors appropriately highlight the limitations of the current GMI formula (which was developed in old sensors and in a small, mostly white cohort), it is equally important to acknowledge that HbA1c itself is not an ideal reference standard. HbA1c remains the regulatory and clinical gold standard, yet it is influenced by multiple non-glycaemic factors which can cause substantial inter-individual variation in glycation and is a well known "lagging marker". As the authors note in their introduction, “two individuals with similar CGM profiles may exhibit markedly different HbA1c readings,” underscoring that HbA1c may misrepresent a patient’s true glycaemic exposure. This raises the question of whether adjusting GMI to more closely align with HbA1c truly resolves discordance, or whether both measures are partially flawed proxies of a more complex underlying physiology. The recent development of the population-adjusted uGMI (Bergenstal et al 2025 described above) and its demonstrated predictive superiority over HbA1c for incident retinopathy (Shah et al, 2025 Diabetes Care) further reinforce the need to reconsider whether HbA1c is the optimal anchor for assessing true glycaemic exposure. At the same time, the authors make a valid and important point regarding inequitable access to CGM. Many individuals with type 2 diabetes rely primarily on HbA1c, and others have only intermittent CGM use. In such contexts, understanding and adjusting for discordance between CGM-derived estimates and HbA1c is essential for safe interpretation and clinical decision-making. However, as CGM access expands and CGM-based biomarkers evolve, there may be a need to revisit whether HbA1c should continue to serve as the sole reference point for calibrating CGM-derived metrics such as GMI.

Minor

• Line 223-224 Also able to improve the correlation - could state that in here too since the previous sentence mentions correlation only.

• Lines 227-232 Discordance likely changes as mediated by things like CGM data quality (CGM wear adherence, compression lows etc) and short-term glycemic exposure (ie. if you have a recent reduction in your variability, GMI might be quicker to stabilise than hba1c). It is these things which are influenced by behavioural and physiological variables. The statement would benefit from that additional information.

• Line 227-232 Subtle, but the way this is worded suggests that menopause is a behavioural/psychological variable…. Please consider rewording or adding “hormonal” to the list.

• Lines 235-237 Clarity may be warranted here with perhaps addition of paper from Eichenlaub et al: Eichenlaub et al 2025 JDST found substantial differences in accuracy between CGM systems worn by the same individual. Freckmann et al 2025 Diabetes Care demonstrated that these differences in accuracy significantly affect the CGM derived metrics.

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Reviewer #1: No

Reviewer #2: Yes: Maia Angelova

Reviewer #3: No

Figure resubmission:

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PLOS Digit Health. doi: 10.1371/journal.pdig.0001229.r003

Decision Letter 1

Krasimira Tsaneva-Atanasova

23 Jan 2026

Narrowing the A1c gap: personalized modeling of HbA1c– continuous glucose monitor discordance in type 1 diabetes

PDIG-D-25-00341R1

Dear Professor Cichosz,

We are pleased to inform you that your manuscript 'Narrowing the A1c gap: personalized modeling of HbA1c– continuous glucose monitor discordance in type 1 diabetes' has been provisionally accepted for publication in PLOS Digital Health.

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Academic Editor

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Additional Editor Comments (if provided):

Reviewer Comments (if any, and for reference):

Reviewer's Responses to Questions

Comments to the Author

Reviewer #1: All comments have been addressed

Reviewer #2: All comments have been addressed

Reviewer #3: All comments have been addressed

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publication criteria?>

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

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3. Has the statistical analysis been performed appropriately and rigorously?-->?>

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

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The PLOS Data policy

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: No

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5. Is the manuscript presented in an intelligible fashion and written in standard English??>

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

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Reviewer #1: The revised version of the article may be considered for publication.

Reviewer #2: I would like to thank the authors for performing additional analysis using a non-linear model. While it is less accurate, it has most likely captured some non-linear features of the model, which may not as important as the linear characteristics.

Reviewer #3: The authors have addressed my comments. The revised manuscript is clear, well argued, and significantly improved.

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Reviewer #1: Yes: Dr. Arkaprabha Sau

Reviewer #2: Yes: Maia Angelova

Reviewer #3: No

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Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 Text. Additional individual analytics for each data source included in the main analysis.

    (DOCX)

    pdig.0001229.s001.docx (13.4KB, docx)
    S1 Fig. Discordance group progression over time (Cohort A/ The T1DiabetesGranada study).

    Sankey plots show the progression from the baseline discordance groups (left) – positive and negative – over time to measurement 1 (center) and measurement 2 (right).

    (DOCX)

    pdig.0001229.s002.docx (107.1KB, docx)
    S2 Fig. Discordance group progression over time (Cohort B/ The REPLACE-BG trial).

    Sankey plots show the progression from the baseline discordance groups (left) – positive and negative – over time to measurement 1 (center) and measurement 2 (right).

    (DOCX)

    pdig.0001229.s003.docx (113.3KB, docx)
    S3 Fig. Discordance groups over time (Cohort A/ The T1DiabetesGranada study).

    The development in discordance in the groups – positive (discordance ≥0.5), neutral (-0.5 > discordance<0.5) and negative (-0.5≤) - from baseline to the first and second measurement.

    (DOCX)

    pdig.0001229.s004.docx (46.6KB, docx)
    S4 Fig. Discordance groups over time (Cohort B/ The REPLACE-BG trial).

    The development in discordance in the groups – positive (discordance ≥0.5), neutral (-0.5 > discordance<0.5) and negative (-0.5≤) - from baseline to the first and second measurement.

    (DOCX)

    pdig.0001229.s005.docx (46KB, docx)
    Attachment

    Submitted filename: Rebuttal_R1.docx

    pdig.0001229.s007.docx (27.4KB, docx)

    Data Availability Statement

    The data used in this study were obtained from the T1DiabetesGranada and REPLACE-BG trials. Access to the T1DiabetesGranada dataset is subject to restrictions and was granted specifically for this research. Researchers interested in accessing this dataset should contact the original data custodians; further information is available: http://doi.org/10.1038/s41597-023-02737-4 . Access to the REPLACE-BG trial data can be requested through the JAEB Center for Health Research: https://public.jaeb.org.


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