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Wang, Li, Kuang, 2007
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Mathematical modeling and qualitative analysis of insulin therapies
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Model Mathematics
Component based math viewer is available
Component: environment
Component: G
d
d
time
G
=
Gin
+
1
f5_I
-
1
f2_G
+
f3_G
f4_I
Gin
=
0.05
+
5.0
15.0
time
if
time
<
15.0
∧
time
≥
0.0
0.05
+
5.0
45.0
-
time
45.0
-
15.0
if
time
<
45.0
∧
time
≥
15.0
0.05
if
time
≦
240.0
∧
time
≥
45.0
0.05
+
5.0
255.0
time
if
time
>
240.0
∧
time
<
255.0
0.05
+
5.0
285.0
-
time
285.0
-
255.0
if
time
<
285.0
∧
time
≥
255.0
0.05
if
time
≦
480.0
∧
time
≥
285.0
0.05
+
5.0
495.0
time
if
time
<
495.0
∧
time
>
480.0
0.05
+
5.0
525.0
-
time
525.0
-
495.0
if
time
<
525.0
∧
time
≥
495.0
0.05
if
time
≦
720.0
∧
time
≥
525.0
0.05
+
5.0
735.0
time
if
time
>
720.0
∧
time
<
735.0
0.05
+
5.0
765.0
-
time
765.0
-
735.0
if
time
<
765.0
∧
time
≥
735.0
0.05
if
time
≦
960.0
∧
time
≥
765.0
Component: I
d
d
time
I
=
Iin
-
di
I
Iin
=
0.25
if
time
≦
30.0
∧
time
≥
0.0
0.25
+
1.0
1.0
+
time
-
120.0
90.0
if
time
<
120.0
∧
time
≥
30.0
0.25
+
1.0
1.0
-
0.5
time
-
120.0
120.0
if
time
<
240.0
∧
time
≥
120.0
0.25
+
0.5
1.0
-
time
-
240.0
240.0
if
time
≦
480.0
∧
time
≥
240.0
0.25
if
time
<
530.0
∧
time
>
480.0
0.25
+
1.0
1.0
+
time
-
620.0
90.0
if
time
<
620.0
∧
time
≥
530.0
0.25
+
1.0
1.0
-
0.5
time
-
620.0
120.0
if
time
<
740.0
∧
time
≥
620.0
0.25
+
0.5
1.0
-
time
-
740.0
240.0
if
time
≦
980.0
∧
time
≥
740.0
Component: f2_G
f2_G
=
Ub
1.0
-
ⅇ
-
G
C2
Vg
1.0
Component: f3_G
f3_G
=
G
C3
Vg
Component: f4_I
f4_I
=
U0
+
Um
-
U0
1.0
+
ⅇ
-
beta
ln
I
C4
1.0
Vi
+
1.0
0.2
ti
Component: f5_I
f5_I
=
Rg
1.0
+
ⅇ
alpha
I
1.0
1.0
Vp
-
C5
Component: model_parameters
Source
Derived from workspace
Wang, Li, Kuang, 2007
at changeset
b0afdb9fbe31
.
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This work is licensed under a
Creative Commons Attribution 3.0 Unported License
.
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Mathematical modeling and qualitative analysis of insulin therapies