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An extended illustration   65




                  Behavioral models
                  For the purpose of the study, behaviors such as self-treatment of hypoglycemia,
                  meal, and bolusing were modeled as independent behaviors. The prospective models
                  were parameterized using clinical data. The models were statistically validated
                  against observed behavior. The main behavioral modules are depicted in Fig. 4.9.
                  A more detailed description of the models is contained in Ref. [76].
                     In our approach, meals are generated using a Markov model that responds only to
                  time of day, and the time and size of the previous meal. The implicit assumption is
                  that there is no medical eating (e.g., a meal is taken early to avoid hypoglycemia).
                  Meal boluses are taken around the time of the meal (a small random shift of bolus
                  time is applied). Correction bolus and hypoglycemia treatments occur in response to
                  fingersticks indicating hyper or hypoglycemia, respectively. In turn, fingersticks are
                  initiated in response to hypo or hyperglycemia awareness models (the patient
                  perceives symptoms). Each step in these perceptioneconfirmationeaction chains
                  is described by a simple Bernoulli probabilistic model with parameters estimated
                  from observational studies mentioned earlier.


                  Clinical and financial outcomes
                  For the purpose of this analysis, we focused on two meters’ characteristics: error and
                  bias [76]. We define an error as the fraction of meter measurements whose absolute
                  relative difference (ARD) with respect to true plasma glucose exceeds 5%. On the
                  other hand, bias is defined as the average difference between meter measurement
                  and true plasma glucose concentration.


                                                         Patient Behavior

                                                   Bolusing
                                                  Meal Bolusing
                                                                     Meal Behavior
                                                   Correction
                       Patient Biology
                         Hyperglycemia
                          Awareness
                                                                    Hypoglycemia Self-
                                               Finger-stick Behavior
                                                                       Treatment
                         Hypoglycemia
                          Awareness


                  FIGURE 4.9
                  Behavioral components and their interaction with other behavioral and biological
                  components.
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