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Tolic, Mosekilde, Sturis, 2000
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Modelling the Insulin-Glucose Feedback System: The Significance of Pulsatile Insulin Secretion
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Model Mathematics
Component based math viewer is available
Component: environment
Component: plasma_insulin
d
d
time
Ip
=
f1_G
-
E
Ip
Vp
-
Ii
Vi
+
Ip
tp
f1_G
=
Rm
1.0
+
ⅇ
C1
-
G
Vg
a1
Component: intercellular_insulin
d
d
time
Ii
=
E
Ip
Vp
-
Ii
Vi
-
Ii
ti
Component: glucose
d
d
time
G
=
Gin
+
f5_x3
f6_G
+
-
f2_G
+
f3_G
f4_Ii
+
f7_G
f2_G
=
Ub
1.0
-
ⅇ
-
G
C2
Vg
f3_G
=
G
C3
Vg
f4_Ii
=
U0
+
Um
-
U0
1.0
+
ⅇ
-
beta
ln
Ii
C4
1.0
Vi
+
1.0
E
ti
f5_x3
=
Rg
1.0
+
ⅇ
alpha
x3
Vp
-
C5
f6_G
=
1.0
1.0
+
ⅇ
gamma
G
C3
Vg
-
C6
f7_G
=
Sb
+
Sm
-
Sb
+
1.0
+
ⅇ
delta
G
C3
Vg
-
C7
Component: delay
d
d
time
x1
=
3.0
td
Ip
-
x1
d
d
time
x2
=
3.0
td
x1
-
x2
d
d
time
x3
=
3.0
td
x2
-
x3
Source
Derived from workspace
Tolic, Mosekilde, Sturis, 2000
at changeset
2b9a9c1187fd
.
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This work is licensed under a
Creative Commons Attribution 3.0 Unported License
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Modelling the Insulin-Glucose Feedback System: The Significance of Pulsatile Insulin Secretion