Enhanced mathematical model of postprandial glycemic excursion in diabetics using rapid-acting insulin

We present some improvements to our previous model of postprandial glucose excursion in diabetics under rapid-acting insulin therapy. In the glucose sub-model, we correct Glycemic Index values from the glucose relative function and as a result, adjust absorption rate parameters for carbohydrates. In the insulin sub-model, we modify Shimoda insulin model parameters to obtain a more realistic representation of the effect of rapid-acting insulin on glycemic levels. Additionally, we derive a more intelligible expression of the relative exogenous insulin function. Results from computer simulations show that our enhanced model is now accurate throughout the GI range of carbohydrates.