UVA/Padova

This model was described by Dalla Man et al. in [3, 4]. Its equations are also the basis of the UVA/PADOVA Type 1 Diabetes Simulator (T1DMS).

Specifics and deviations

  • For the digestion rate (kempt), different models are described in [3,4]. For simplicity, an average of maximum and minimum digestion rates was provisionally used instead of the complex calculation rules.
  • Hepatic gluconeogenesis ([3], Eq. (4)) was limited to avoid singularity ([3], Eq. (5)) at high insulin concentrations.
  • Subcutaneous insulin kinetics included in T1DMS [4] are not described in [3]; they were taken from [2], including the associated parameters

The default values of the parameters are taken from the “Normal Value” column in [3, Table 1] and describe the behavior of a healthy person.

Block diagram

The following scheme visualizes the state variables included in the model and the interactions between them:

Qsto1
Qsto1
Qsto2
Qsto2
kgri
meal
meal
Qgut
Qgut
kempt
Ra
Ra
kabs
I_
I_
XL
XL
ki
EGP
EGP
kp3
I
I
X
X
p2u
Uid
Uid
Vmx
Gp
Gp
Gt
Gt
kabsk2k1
Ip
Ip
Il
Il
RaI
RaI
Isc1
Isc1
Isc2
Isc2
kd
IIR
IIR
ka2ka1
G
G
kabsVm0kp2kp1
E
E
Uii
Uii
explanation
explanation
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Disclaimer

It must be expressly pointed out that this is only a mathematical model which can at most describe the real processes in the human body approximately and in parts. Therefore, although the simulation results qualitatively resemble clinical curves, they must be interpreted with caution and are not suitable for deriving individual treatment strategies from them (see disclaimer). We do not assume any responsibility for the correctness of the results or damages of any kind resulting from the use of the simulator (see license).

References

[1] Dalla Man, Ch.; Camilleri, M.; Cobelli, C.: A System Model of Oral Glucose Absorption: Validation on Gold Standard Data. IEEE Transactions on Biomedical Engineering, Volume 53, Number 12, December 2006

[2] Dalla Man, Ch.; Raimondo, D.M.; Rizza, R. A.; Cobelli, C.: GIM, Simulation Software of Meal Glucose-Insulin Model. Journal of Diabetes Science and Technology, Volume 1, Issue 3, May 2007

[3] Dalla Man, C.; Rizza, R. A.; Cobelli, C.: Meal simulation model of the glucose-insulin system. IEEE Transactions on biomedical engineering, 54(10), 2007.

[4] Dalla Man, C.; Micheletto, F.; Lv, D.; Breton, M.; Kovatchev, B.; Cobelli, C.: The UVA/PADOVA Type 1 Diabetes Simulator: New Features. Journal of Diabetes Science and Technology, Volume 8, Issue 1, 2014.