Glossary

Symbol	Description
Glucose subsystem: Hovorka et al25
States
${\mathit{G}}_1$	Masses of glucose in accessible (plasma) compartment
${\mathit{G}}_2$	Masses of glucose in nonaccessible compartment
Input
${\mathit{u}}_{\mathit{G}}$	Meal disturbance
Parameters
Patient mass	Mass of patient in kg
${\mathit{F}}_{01}^{\mathit{c}}$	Non-insulin-dependent glucose flux
${\mathit{V}}_{\mathit{G}}$	Volume of the glucose compartment
${\mathit{k}}_{\mathit{g}}$	The transfer rate constant from the nonaccessible to the accessible compartment
${\mathit{F}}_{\mathit{R}}$	Renal glucose clearance
$\mathit{E}\mathit{G}\mathit{P}$	Endogenous glucose production (EGP) extrapolated to the zero insulin concentration
${\mathit{D}}_{\mathit{G}}$	Amount of glucose given during meal
${\mathit{A}}_{\mathit{G}}$	Availability of glucose
${\mathit{t}}_{\mathit{m}\mathit{a}\mathit{x},\mathit{G}}$	Time for peak glucose absorption
Insulin kinetic subsystem: Wilinska et al26
States
$\mathit{S}{\mathit{Q}}_{\mathit{i}\mathit{s}1}$	Slow subcutaneous compartment 1
$\mathit{S}{\mathit{Q}}_{\mathit{i}\mathit{f}}$	Fast subcutaneous compartment
$\mathit{S}{\mathit{Q}}_{\mathit{i}\mathit{s}2}$	Slow subcutaneous compartment 2
$\mathit{P}\mathit{l}\mathit{a}\mathit{s}\mathit{m}{\mathit{a}}_{\mathit{I}}$	Masses of insulin in accessible (plasma) compartment
Input
${\mathit{u}}_{\mathit{I}\mathit{n}\mathit{s}\mathit{u}\mathit{l}\mathit{i}\mathit{n}}$	Insulin dosage
Parameters
$\mathit{k}\mathit{S}{\mathit{Q}}_{\mathit{i}}$	Proportion of the total input flux passing through the slower, 2 compartment channel
$\mathit{k}\mathit{S}{\mathit{Q}}_{\mathit{i}\mathit{s}}$	Rate constant of the slow subcutaneous compartment of insulin
$\mathit{k}\mathit{S}{\mathit{Q}}_{\mathit{i}\mathit{f}}$	Rate constant of the fast subcutaneous compartment of insulin
${\mathit{k}}_{\mathit{e}\mathit{i}}$	Insulin elimination from plasma
${\mathit{V}}_{\mathit{I}}$	Insulin distribution volume
${\mathit{V}}_{\mathit{m}\mathit{a}\mathit{x},\mathit{L}\mathit{D}}$	Saturation level describing Michaelis Menten dynamics of insulin degradation for continuous infusion and bolus
${\mathit{k}}_{\mathit{M},\mathit{L}\mathit{D}}$	The value of insulin mass (mU) at which insulin degradation is equal to half of its maximal value for continuous infusion and bolus
Insulin dynamic subsystem: Hovorka et al25
States
${\mathit{I}}_1$	The (remote) effects of insulin on glucose distribution/transport
${\mathit{I}}_2$	The (remote) effects of insulin on glucose disposal
${\mathit{I}}_3$	The (remote) effects of insulin on EGP
Parameters
${\mathit{k}}_{\mathit{i}\mathit{a}1}$	Deactivation rate—insulin action subsystem (glucose distribution/transport)
${\mathit{k}}_{\mathit{i}\mathit{a}2}$	Deactivation rate—insulin action subsystem (glucose disposal)
${\mathit{k}}_{\mathit{i}\mathit{a}3}$	Deactivation rate—insulin action subsystem (EGP)
${\mathit{S}}_{\mathit{f}\mathit{I}\mathit{T}}$	Insulin sensitivity of distribution/transport
${\mathit{S}}_{\mathit{f}\mathit{I}\mathit{D}}$	Insulin sensitivity of disposal
${\mathit{S}}_{\mathit{f}\mathit{I}\mathit{E}}$	Insulin sensitivity of EGP
Pramlintide kinetics subsystem: Clodi et al20
States
$\mathit{S}{\mathit{Q}}_{\mathit{P}}$	Pramlintide subcutaneous compartment
$\mathit{P}\mathit{l}\mathit{a}\mathit{s}\mathit{m}{\mathit{a}}_{\mathit{P}}$	Masses of pramlintide in accessible (plasma) compartment
${\mathit{P}}_2$	Masses of pramlintide in nonaccessible compartment
${\mathit{P}}_3$	Masses of pramlintide in nonaccessible compartment
${\mathit{P}}_{\mathit{e}\mathit{f}\mathit{f}}$	Represents effective pramlintide compartment responsible for pharmacodynamics effects on glucose
Input
${\mathit{u}}_{\mathit{P}\mathit{r}\mathit{a}\mathit{m}}$	Pramlintide dosage
Parameters
$\mathit{k}\mathit{S}{\mathit{Q}}_{\mathit{P}}$	Rate constant
${\mathit{k}}_{\mathit{e}\mathit{p}}$	Pramlintide elimination from the plasma
${\mathit{V}}_{\mathit{P}}$	Initial distribution volume
${\mathit{k}}_{\mathit{p}21}$	Rate constant flux from compartment 2 to 1
${\mathit{k}}_{\mathit{p}12}$	Rate constant flux from compartment 1 to 2
${\mathit{k}}_{\mathit{p}32}$	Rate constant flux from compartment 3 to 3
${\mathit{k}}_{\mathit{p}23}$	Rate constant flux from compartment 2 to 3
${\mathit{p}}_{\mathit{\theta }}$	Transport delay of pramlintide from the plasma to the effective compartment
Pramlintide dynamic subsystem
States
${\mathit{t}}_{\mathit{m}\mathit{a}\mathit{x},\mathit{G},\mathit{o}\mathit{l}\mathit{d}}$	Time of peak meal absorption at last time point
${\mathit{t}}_{\mathit{m}\mathit{a}\mathit{x},\mathit{G},\mathit{n}\mathit{e}\mathit{w}}$	Time of peak meal absorption at current time point
$\mathit{G}\mathit{a}\mathit{p}$	Gap created when a change in tmax,G occurs
Parameters
${\mathit{k}}_{\mathit{l}\mathit{a}\mathit{g}}$	Lag constant on tmax,G
${\mathit{n}}_{\mathit{\theta }}$	Time delay on the meal caused by pramlintide
${\mathit{P}}_{\mathit{m}\mathit{i}\mathit{n}}$	Minimum effective pramlintide concentration
${\mathit{t}}_{\mathit{s}\mathit{w}}$	Time at which effective pramlintide concentration changes ${\mathit{t}}_{\mathit{m}\mathit{a}\mathit{x},\mathit{G}}$