Bio-medical Ontologies Maintenance and Change Management

304 M. Fernandez, M. Villasana, and D. Streja
Residuals (unitless)
10
8
6
4
2
0
−2
−4
−6
−8
OIM
LMM
MM
−10
0 100 200 300
Time (mins)
Residuals (unitless)
10
8
6
4
2
0
−2
−4
−6
−8
NIM
LMM
MM
−10
0 100 200 300
Time (mins)
Fig. 6. Plot of the mean residuals for all data windows (n = 13), showing the difference
between the LMM and MM approximation, for both the old and new modelling approaches
(OIM and NIM respectively). They both show deviations that have a pattern.
the local degradation at injection site for continuous infusion and bolus injection
respectively, given in mU/min; they are Michaelis-Menten type functionals defined
through the parameters VMAX,LD (mU/min), KM,LD (mU) which are saturation level
and half maximal value of degradation respectively. Constants ke, ka1, andka2 are
transfer rates in 1/min and k is a dimensionless parameter. The output of this model
is given by the plasma insulin y2 = Q3/V (mU/L), with V as the plasma insulin
volume.
In Fig. 5 the simulation results of this model can be seen for a bolus injection
of 0.12 U/kg and also for this bolus injection together with a basal rate of
0.0212 U/min.
4 Statistical Analysis
Only 13 data windows of 300 min from a total of 33 were selected for analysis.
These windows were defined in our previous work [14] as acceptable windows as
they fail to meet the following rejection criteria: