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236    CHAPTER 11 Retrofitting CGM traces




                            With regard to CGM data, seldom they suffer isolate readings affected by a
                         significantly larger error with respect to usual one, commonly referred as spikes
                         and illustrated in Fig. A.1, at about 15:00. Moreover, as documented in Ref. [29],
                         CGM may suffer failures related to the biomechanics of the sensor-tissue interface:
                         pressure on the sensor site and foreign body response can create transient effects
                         which generate unphysiological changes of the CGM output, called loss of sensi-
                         tivity (Fig. A.1, at about 10:30, for 20 min).
                            The data preprocessing step of the retrofitting method aims to detect and isolate
                         possibly erroneous data points. For most of these points, automatic discharge/correc-
                         tion can be performed, but sometimes human visual inspection and intervention is
                         required. In the second case, the operator running the off-line analysis can manually
                         correct, confirm, or exclude the isolated data. The data preprocessing step takes as
                         inputs row CGM and BG data and returns as output outliers-checked data.
                            In this work, we limit ourselves to simple fault detection heuristic, that checks
                         data consistency with physiological constraints: for instance, a rate of change larger
                         than 5 mg/(dL$min) or any values outside the range ½40e400Š mg/dL are considered
                         suspicious and isolated. The physiology-inspired rules are reported in detail below:
                         •  Any reference BG or CGM value in outside the range [40e400] mg/dL is
                            prompted for confirmation to the operator running the retrospective analysis.
                         •  If the Dexcom SEVEN PLUS sensor is used, given that it only produces CGM
                            values in the range [40e400] mg/dL, any eventual value outside this range has
                            to be interpreted as an internal error code and therefore automatically excluded.
                         •  A conservative bound on BG rate of change, r BG , is checked:

                                                                      h      i
                                                    BGðt iþ1 Þ  BGðt i Þ    mg
                                                                      5               (11.23)
                                       jr BG ðt iþ1 Þj ¼

                                                       t iþ1   t i     dL$min
                         •  A similar control is performed on the CGM rate of change, r CGM , but the
                            threshold is loosened not to exclude poorly calibrated data portions:

                                                                     h       i
                                               CGMðt iþ1 Þ  CGMðt i Þ    mg
                                                                   10                 (11.24)

                                 jr CGM ðt iþ1 Þj ¼

                                                    t iþ1   t i       dL $min
                         •  Possibly unreliable reference data (see Fig. 11.2, top panel) are abnormally low
                            (high) with respect to previous and future references. This situation is detected
                            checking the following condition:
                                                mg                      mg
                                             h      i                h      i
                                  jr BG ðt iþ1 Þj   1  and jr BG ðt iþ2 Þj   1        (11.25)
                                              dL$min                  dL$min
                         •  but

                                                                                      (11.26)
                                             signðr BG ðt iþ1 ÞÞssignðr BG ðt iþ2 ÞÞ
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