Table 3 BMM model parameters for insulin-glucose model.
From: Event-triggered smart dual hormone artificial pancreas for patient-specific drug delivery
BMM model parameters | Parameter description | Dimension/unit |
|---|---|---|
\(\:G\left(t\right)\) | Glucose concentration at time t | \(\:mg/dl\) |
\(\:I\left(t\right)\) | Plasma insulin concentration at time t | \(\:\mu\:U/ml\) |
\(\:X\left(t\right)\) | Insulin action at time t | \(\:{min}^{-1}\) |
\(\:{G}_{b}\) | Basal glucose concentration | \(\:mg/dl\) |
\(\:{I}_{b}\) | Basal insulin concentration | \(\:\mu\:U/ml\) |
\(\:{p}_{1}\) | Rate constant related to glucose effectiveness | \(\:{min}^{-1}\) |
\(\:{p}_{2}\) | Decay rate constant of insulin action | \(\:{min}^{-1}\) |
\(\:{p}_{3}\) | Parameter related to insulin sensitivity | \(\:{min}^{-2}{\left(\frac{\mu\:U}{ml}\right)}^{-1}\) |
\(\:n\) | Decay rate constant for insulin concentration | \(\:{min}^{-1}\) |
\(\:h\) | Threshold glucose level for insulin release | \(\:mg/dl\) |
\(\:\gamma\:\) | Parameter related to glucose stimulated insulin release | \(\:\left(\frac{\mu\:U}{ml}\right){min}^{-2}{\left(\frac{mg}{dl}\right)}^{-1}\) |
\(\:{G}_{inn}\) | Rate of glucose input (e.g., from food intake) | \(\:mg/dl\) |
\(\:U\left(t\right)\) | Exogenous insulin input (e.g., through medication) | \(\:\mu\:U/ml\) |
