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Bio-medical Ontologies Maintenance and Change Management

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

RA (mg/min)<br />

y 2 (μU/ml)<br />

y 1 (mg/dl)<br />

1000<br />

500<br />

OMI<br />

0<br />

−100 0 100 200 300 0<br />

30<br />

20<br />

10<br />

0<br />

−100 0 100 200 300 0<br />

400<br />

300<br />

200<br />

Data<br />

LMM<br />

MM<br />

100<br />

−100 0 100<br />

Time (mins)<br />

200 300<br />

10<br />

5<br />

1.5<br />

1<br />

0.5<br />

Glucose load (g/5 min)<br />

IR (U/5 min)<br />

RA (mg/min)<br />

y 1 (mg/dl)<br />

y 2 (μU/ml)<br />

400<br />

300<br />

200<br />

100<br />

NMI<br />

0<br />

−100 0 100 200 300 0<br />

8<br />

6<br />

4<br />

2<br />

−100 0 100 200 300 0<br />

100<br />

−100 0 100<br />

Time (mins)<br />

200 300<br />

Fig. 7. LMM <strong>and</strong> MM fit to data obtained experimentally from patient 1, for the old (left) <strong>and</strong><br />

new (right) model inputs)<br />

LMM show residuals that are correlated (p-value < 0.01) <strong>and</strong> the Anderson-Darling<br />

test shows evidence that 9 out of 13 (69%) windows have r<strong>and</strong>om residuals (p-value<br />

< 0.05), whilst residuals for 4 windows (31%) are not r<strong>and</strong>om (p-value > 0.05).<br />

For the MM also correlation is found for all windows (p-value < 0.01), <strong>and</strong> the<br />

Table 1. The R 2 values for the LMM <strong>and</strong> MM after they have been fitted to the experimental<br />

data using the old <strong>and</strong> new input models (OIM <strong>and</strong> NIM respectively)<br />

400<br />

300<br />

200<br />

LMM MM<br />

OIM NIM OIM NIM<br />

0.9895 0.9822 0.9927 0.9876<br />

0.9562 0.9649 0.9537 0.9685<br />

0.8405 0.9110 0.8463 0.8894<br />

0.7845 0.7318 0.8611 0.7191<br />

0.8312 0.8515 0.9870 0.8462<br />

0.7607 0.8428 0.8100 0.8900<br />

0.8002 0.6647 0.7907 0.6647<br />

0.8727 0.8811 0.8687 0.8789<br />

0.9692 0.9631 0.9719 0.9678<br />

0.9392 0.9614 0.8635 0.8467<br />

0.8753 0.5754 0.8710 0.5826<br />

0.8750 0.5342 0.9044 0.5623<br />

0.8128 0.8287 0.7868 0.8322<br />

Data<br />

LMM<br />

MM<br />

8<br />

6<br />

4<br />

2<br />

1<br />

Glucose load (g/5 min)<br />

1.5<br />

0.5<br />

IR (U/5 min)

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