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CHAPTER


                  Modeling the CGM

                  measurement error                                  12




                                                                 1
                                                 Chiara Fabris, PhD , Marc D. Breton, PhD 2
                           1
                           Assistant Professor, Center for Diabetes Technology, Department of Psychiatry and
                                                                              2
                   Neurobehavioral Sciences, University of Virginia, Charlottesville, VA, United States; Assistant
                      Professor, Center for Diabetes Technology, Department of Psychiatry and Neurobehavioral
                                       Sciences, University of Virginia, Charlottesville, VA, United States

                  Introduction

                  Continuous glucose monitors (CGMs) provide detailed time series of consecutive
                  observations on the underlying process of glucose fluctuations. The feedback of
                  such detailed information to patients with diabetes has been shown to have a
                  positive influence on their glycemic control, including a reduction in glucose
                  variability, time spent in nocturnal hypoglycemia, time spent in hyperglycemia,
                  and levels of glycosylated hemoglobin [1e4]. However, some CGM technology
                  continues to face challenges in terms of sensitivity, stability, calibration, and the
                  physiological time lag between blood glucose (BG) and interstitial glucose (IG)
                  concentration [5e11]. Thus it is frequently concluded that the abundance of
                  information about glucose fluctuations carried by the CGM data stream is to
                  some extent offset by the possibility of sensor errors that exceed in magnitude
                  the errors of the traditional self-monitoring blood glucose (SMBG) devices.
                  Such a conclusion, however, is only partially accurate: while the observed error
                  in an isolated CGM data point is indeed generally larger than the error observed
                  in an SMBG data point, the additional informationprovidedbyCGM time series
                  allows the application of error-reduction techniques that are unavailable in SMBG
                  devices. For example, deconvolution and other modeling techniques allow for
                  the mitigation of certain sensor deviations due to blood-to-interstitial time
                  delay [12,13].
                     The key to CGM error mitigation is a detailed analysis and subsequent math-
                  ematical modeling, which allow for the understanding of the sources and magni-
                  tude of sensor errors. The analytical approach proposed in this manuscript is the
                  one originally described in Ref. [14] and is based on two principles: (i) CGMs
                  assess BG fluctuations indirectlydby measuring the concentration of IGdbut
                  are calibrated via SMBG to approximate BG; and (ii) CGM data reflect an
                  underlying process in time and therefore are time series consisting of ordered,
                  in-time highly interdependent data points. The first principle stipulates that cali-
                  bration errors would be responsible for a portion of the sensor deviation from

                  Glucose Monitoring Devices. https://doi.org/10.1016/B978-0-12-816714-4.00012-0  241
                  Copyright © 2020 Elsevier Inc. All rights reserved.
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