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176    CHAPTER 9 Calibration of CGM systems




























                         FIGURE 9.2
                         Top panel, electrical current profile yðtÞ (in blue circles) with red circles indicating the
                         electrical current samples corresponding to time instants at which the blood glucose
                         samples uðtÞ, shown in the middle panel by green triangles, are acquired. Bottom panel,
                         linear regression between uðtÞ and yðtÞ.
                            The quality of the estimate of the calibration parameters is expected to increase
                         with N, that is, the more electrical current-BG pairs that are available, the more
                         accurately the calibration parameters are estimated. On the other hand, increasing
                         N is difficult to satisfy, for practical reasons, for example, for the discomfort related
                         to the acquisition of SMBG samples, and because CGM manufacturers push to mini-
                         mize the calibration points to facilitate the ease of use of their devices. Moreover, in
                         the presence of measurement uncertainty and/or when only a few data points are
                         available, the standard two-point calibration of Eq. (9.4) could be simplified to a
                         one-point calibration by considering a zero baseline. This simplification may
                         improve the calibration performance by reducing the effect of the noise [18,19].
                            Although the use of such linear calibration techniques is appealing for its
                         simplicity and ease of implementation, it introduces several critical aspects that,
                         together with uncertainty on the measured sensor output and BG references, are
                         often a cause of CGM sensor inaccuracy. Two examples of sensor inaccuracy are
                         illustrated in Fig. 9.3, where two representative CGM profiles (continuous lines)
                         acquired by the Dexcom G4 Platinum (Dexcom Inc. San Diego, CA) CGM sensor,
                         are compared with reference BG concentrations measured in parallel by
                         gold-standard laboratory instruments (points). Two major causes of these deviations
                         are discussed in the following section.


                         Critical aspects affecting calibration
                         A first aspect explaining the discrepancies evidenced in Fig. 9.3 is the distortion
                         introduced by the blood glucose-to-interstitial glucose (BG-to-IG) kinetics. Indeed,
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