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Bertram, Satin, Zhang, Smolen, Sherman, 2004
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Calcium and Glycolysis Mediate Multiple Bursting Modes in Pancreatic Islets
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Model Mathematics
Component based math viewer is available
Component: environment
Component: membrane
d
d
time
V
=
-
IK
+
ICa
+
IKCa
+
IKATP
Cm
IK
=
gK
n
V
-
VK
IKCa
=
gKCa
1
+
kd
c
2
V
-
VK
ICa
=
gCa
minf
V
-
VCa
minf
=
1
1
+
ⅇ
-
20
+
V
1
12
ninf
=
1
1
+
ⅇ
-
16
+
V
1
5
d
d
time
n
=
ninf
-
n
taun
Component: calcium_handling
d
d
time
c
=
fcyt
Jmem
+
Jer
d
d
time
cer
=
-
fer
sigmaV
Jer
Jserca
=
Kserca
c
Jleak
=
pleak
cer
-
c
Jer
=
epser
Jleak
-
Jserca
lambdaer
Jmem
=
-
alpha
ICa
+
kpmca
c
Component: glycolysis
f6p
=
0.3
g6p
rgpdh
=
0.2
|
fbp
1
1
2
|
d
d
time
fbp
=
lambda
pfk
1
-
0.5
rgpdh
d
d
time
g6p
=
lambda
Rgk
1
-
pfk
1
Component: pfk
pfk
=
1
pfkbas
cat
topa16
+
cat
topb
bottom16
weight2
=
atp
2
k4
1
topa2
=
topa1
bottom2
=
bottom1
+
weight2
weight3
=
f6p
2
k3
1
topa3
=
topa2
+
weight3
bottom3
=
bottom2
+
weight3
weight4
=
f6p
atp
2
fatp
k3
k4
1
2
topa4
=
topa3
+
weight4
bottom4
=
bottom3
+
weight4
weight5
=
fbp
k2
topa5
=
topa4
bottom5
=
bottom4
+
weight5
weight6
=
fbp
atp
2
k2
k4
fbt
1
topa6
=
topa5
bottom6
=
bottom5
+
weight6
weight7
=
fbp
f6p
2
k2
k3
ffbp
1
topa7
=
topa6
+
weight7
bottom7
=
bottom6
+
weight7
weight8
=
fbp
f6p
2
atp
2
k2
k3
k4
ffbp
fbt
fatp
1
2
topa8
=
topa7
+
weight8
bottom8
=
bottom7
+
weight8
weight9
=
amp
k1
topa9
=
topa8
bottom9
=
bottom8
+
weight9
weight10
=
amp
atp
2
k1
k4
fmt
1
topa10
=
topa9
bottom10
=
bottom9
+
weight10
weight11
=
amp
f6p
2
k1
k3
famp
1
topa11
=
topa10
+
weight11
bottom11
=
bottom10
+
weight11
weight12
=
amp
f6p
2
atp
2
k1
k3
k4
famp
fmt
fatp
1
2
topa12
=
topa11
+
weight12
bottom12
=
bottom11
+
weight12
weight13
=
amp
fbp
k1
k2
topa13
=
topa12
bottom13
=
bottom12
+
weight13
weight14
=
amp
fbp
atp
2
k1
k2
k4
fbt
fmt
1
topa14
=
topa13
bottom14
=
bottom13
+
weight14
weight15
=
amp
fbp
f6p
2
k1
k2
k3
ffbp
famp
1
topa15
=
topa14
bottom15
=
bottom14
+
weight15
topb
=
weight15
weight16
=
amp
fbp
f6p
2
atp
2
k1
k2
k3
k4
ffbp
famp
fbt
fmt
fatp
1
2
topa16
=
topa15
+
weight16
bottom16
=
bottom15
+
weight16
Component: KATP
mgadp
=
0.165
adp
adp3m
=
0.135
adp
atp4m
=
0.05
atp
topo
=
0.08
1
+
2
mgadp
kdd
1
+
0.89
mgadp
kdd
1
2
bottomo
=
1
+
mgadp
kdd
1
2
1
+
adp3m
ktd
1
+
atp4m
ktt
1
katpo
=
topo
bottomo
IKATP
=
gkatpbar
katpo
V
-
VK
Component: nucleotides
d
d
time
adp
=
atp
-
adp
ⅇ
fback
1
-
c
r1
taua
1
fback
=
r
+
y
y
=
vg
rgpdh
kg
+
rgpdh
atp
=
0.5
atot
-
adp
+
rad
1
amp
=
adp
adp
atp
ratio
=
atp
adp
rad
=
|
adp
-
atot
2
-
4
adp
2
|
1
Source
Derived from workspace
Bertram, Satin, Zhang, Smolen, Sherman, 2004
at changeset
d5a1d7a4ab4a
.
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Calcium and Glycolysis Mediate Multiple Bursting Modes in Pancreatic Islets
Calcium and Glycolysis Mediate Multiple Bursting Modes in Pancreatic Islets