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Bio-medical Ontologies Maintenance and Change Management

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296 M. Fern<strong>and</strong>ez, M. Villasana, <strong>and</strong> D. Streja<br />

obtained [14]. A summary of the limitations of each input model <strong>and</strong> the proposed<br />

improvements is as follows [14]:<br />

• The rate of glucose absorption model could be oversimplified. For glucose loads<br />

different from 45 or 89 g, we took as valid the curve that corresponds to the load<br />

closest in value to these [14] (e.g., if the actual glucose load was 15 g then the<br />

curve obtained for 45 g was chosen as the rate of appearance). This approximation<br />

would introduce unavoidable errors until better estimates could be obtained.<br />

For this reason, a more recent model presented by Lehmann <strong>and</strong> Deutsch [16] is<br />

being included in the present work instead.<br />

• The insulin absorption model could be too simple to describe the data under<br />

study [14]. A recent publication by Willinska <strong>and</strong> coworkers [19] shows that a<br />

model like Shichiri’s model underestimates the post meal peak of plasma insulin,<br />

whilst improvement in the model fit was enhanced when two absorption<br />

channels were included. This latter model has been used in the present study in<br />

substitution to Shichiri’s model.<br />

These new input models are of superior quality in terms of data fitting <strong>and</strong> it is<br />

expected that they will help to improve the ability of the minimal model in following<br />

the experimental data.<br />

2 Data<br />

Glucose data collection was achieved through a continuous glucose monitoring sensor<br />

(CGMS, Medtronic MiniMed, Northridge, CA). This technology allows 5 min<br />

timed testing of interstitial glucose. The instrument is periodically calibrated using<br />

patient’s plasma glucose <strong>and</strong> the data are transformed to accurately <strong>and</strong> timely<br />

reflect patient’s serum glucose. The instrument’s precision has been tested for concentrations<br />

ranging from 40 to 400 mg/dL.<br />

Nine patients with longst<strong>and</strong>ing Type I diabetes (C peptide negative) being controlled<br />

subcutaneously by an insulin pump participated in the trial. After appropriate<br />

instructions, the CGMS was inserted into the subcutaneous abdominal fat tissue<br />

<strong>and</strong> calibrated over a 60 min period, as per st<strong>and</strong>ard Medtronic MiniMed operating<br />

guidelines. The patients were monitored for 72 hours. At the time of the instructions<br />

the patients were asked to record the time of administration of subcutaneous insulin,<br />

the insulin bolus injections <strong>and</strong> basal rates <strong>and</strong> the amount of carbohydrate ingested.<br />

All patients were previously instructed in evaluating the quantity of carbohydrates<br />

<strong>and</strong> administered fast acting insulin.<br />

After 5 days the patients returned, <strong>and</strong> the data was downloaded into the computer.<br />

Time series were obtained of interstitial glucose every five minutes, along<br />

with the times at which the patient recorded events such as: bolus insulin injection<br />

times <strong>and</strong> amounts, glucose ingestion <strong>and</strong> approximate loads, <strong>and</strong> the times of exercise<br />

initiation. The glucose data was transformed in serum glucose values with<br />

Medtronic-Minimed software version 3.0.<br />

Subsequently, data windows of 300 min each were extracted from the time series<br />

upon the initiation of a meal. If the patient indicated food ingestion or more than two

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