Bio-medical Ontologies Maintenance and Change Management

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The Minimal Model of Glucose Disappearance in Type I Diabetes 301
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Fig. 3. Rate of absorption Ra(t) for ingested glucose according to Lehmann and Deutsch’s
model
In Fig. 3 we can see the different functions for glucose absorption obtained by
Lehmann and Deutsch model, according to the amount of glucose ingested (say
45, 89, 5 and 9 g respectively). We see that the functional form changes depending
on the critical load and that the predicted total amount of glucose ingested (area
under the curves) is approximately the same as the corresponding glucose load.
This model is an improvement in respect to Radziuk’s model in that it accounts for
specific glucose loads even though the functional forms are simpler. Using a rough
numerical integrator (lower Reimann sums) for the curves depicted using Radziuk’s
estimate, we obtain that the predicted loads are approximately 42 and 87 g, whilst
for the model given by Lehmann and Deutsch the curves predict overall a glucose
load very close to the actual load reported by the patients.
3.4 Insulin Absorption Model
As previously stated, the insulin absorption model used in [14] is a model provided
by Shichiri and colleagues [18]. Their subcutaneous insulin absorption model