Evaluation of glucose controllers in virtual environment: methodology and sample application
Artificial Intelligence in Medicine
Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.)
Glucose dynamics in Type I diabetes: Insights from the classic and linear minimal models
Computers in Biology and Medicine
Applied Numerical Mathematics
Computer Methods and Programs in Biomedicine
Computer Methods and Programs in Biomedicine
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The behavior of three insulin action and glucose kinetics models was assessed for an insulin therapy regime in the presence of patient variability. For this purpose, postprandial glucose in patients with type 1 diabetes was predicted by considering intra- and inter-patient variability using modal interval analysis. Equations to achieve optimal prediction are presented for models 1, 2 and 3, which are of increasing complexity. The model parameters were adjusted to reflect the ''same'' patient in the presence of variability. The glucose response envelope for model 1, the simplest insulin-glucose model assessed, included the responses of the other two models when a good fit of the model parameters was achieved. Thus, under variability, simple glucose-insulin models may be sufficient to describe patient dynamics in most situations.