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Bertram, Pedersen, Luciani, Sherman, 2006
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A simplified model for mitochondrial ATP production
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Model Mathematics
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Component: Environment
Component: Mitochondrial_variables
d
d
time
NADHm
=
gamma
Jpdh
-
Jo
NADm
=
NADtot
-
NADHm
ATPm
=
Amtot
-
ADPm
d
d
time
ADPm
=
gamma
Jant
-
Jf1f0
RATm
=
ATPm
ADPm
d
d
time
PSIm
=
Jh_res
-
Jh_atp
-
Jant
-
Jh_leak
-
Jnaca
-
Juni
2
Cmito
d
d
time
Cam
=
-
fm
Jmito
Component: Cytosol
delta
=
3.9
53.2
ATPc
=
Ac_tot
-
ADPc
Jh_yd
=
khyd
c
+
Jhydbas
ATPc
1
d
d
time
ADPc
=
-
delta
Jant
+
Jh_yd
1
Component: Clamp_protocol
d
d
time
FBP
=
Fproto
-
FBP
0.1
d
d
time
c
=
Cproto
-
c
0.1
Component: Clamp_parameters
pulse1
=
Ctest
-
Chold
heav_Cton1
-
heav_Ctoff1
pulse2
=
Ctest
-
Chold
heav_Cton2
-
heav_Ctoff2
pulse3
=
Ctest
-
Chold
heav_Cton3
-
heav_Ctoff3
Cproto
=
Chold
+
pulse1
+
pulse2
+
pulse3
Fproto
=
Fhold
+
Ftest
-
Fhold
heav_on
-
heav_off
heav_on
=
1
if
time
-
Fton
≥
0
0
otherwise
heav_off
=
1
if
time
-
Ftoff
≥
0
0
otherwise
heav_Cton1
=
1
if
time
-
Cton1
≥
0
0
otherwise
heav_Cton2
=
1
if
time
-
Cton2
≥
0
0
otherwise
heav_Cton3
=
1
if
time
-
Cton3
≥
0
0
otherwise
heav_Ctoff1
=
1
if
time
-
Ctoff1
≥
0
0
otherwise
heav_Ctoff2
=
1
if
time
-
Ctoff2
≥
0
0
otherwise
heav_Ctoff3
=
1
if
time
-
Ctoff3
≥
0
0
otherwise
Component: J_variables
Juni
=
p21
PSIm
-
p22
c
2
Jpdh
=
p1
p2
+
NADHm
NADm
Cam
p3
+
Cam
Jgpdh
Jnaca
=
p23
Cam
c
ⅇ
p24
PSIm
Jmito
=
Jnaca
-
Juni
Jh_leak
=
p17
PSIm
+
p18
MM1
=
p4
NADHm
p5
+
NADHm
MM2
=
p8
NADHm
p9
+
NADHm
Jo
=
MM1
1
+
ⅇ
PSIm
-
p6
p7
Jh_res
=
MM2
1
+
ⅇ
PSIm
-
p10
p11
b13
=
p12
p13
p13
+
ATPm
Jh_atp
=
b13
1
+
ⅇ
p14
-
PSIm
p15
b2
=
p16
p13
p13
+
ATPm
Jf1f0
=
b2
1
+
ⅇ
p14
-
PSIm
p15
Jant
=
p19
RATm
RATm
+
p20
ⅇ
-
0.5
FRT
PSIm
Jgpdh
=
kgpdh
FBP
1
Component: Parameters
Source
Derived from workspace
Bertram, Pedersen, Luciani and Sherman 2006
at changeset
ccce6e569232
.
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This work is licensed under a
Creative Commons Attribution 3.0 Unported License
.
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A simplified model for mitochondrial ATP production