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. 2013 May 24;7:41. doi: 10.1186/1752-0509-7-41

Table 2.

Parameter values of the model (except for FOXO part)

Module Reaction Name Parameter Value Order Comments & Ref
All
 
Volume
extracellular
8.3 × 10-12 l
 
0.5 × cytoplasm
 
 
Volume
cell surface
6.4 × 10-14 l
 
assumes thickness of 20 nm
 
 
Volume
cytoplasm
1.65 × 10-11 l
 
typical of many cells
 
 
Volume
nucleus
5 × 10-13 l
 
 
 
 
Volume
DNA-bound
1 × 10-13 l
 
 
Receptor binding
R1f
 
k1
2.0 × 10-5
2
[36] Figure 1
m8b2_recep.6mod
R1r
 
kminus1
12072
1
[36]
 
R2
 
k3
2500
1
[36]
 
R3f
 
k2
1.2 × 10-5
2
[36]
 
R3r
 
kminus2
9 × 104
1
> > kminus1
 
R4
 
kminus3
2 × 10-6
2 (cat)
 
 
R5f
 
k4
0.0333
1
forward/reverse ratio 10, much faster than [26]
 
R5r
 
kminus4
0.3
1
see R5f
 
R6f
 
k4’
0.0021
1
unchanged from [26]
 
R6r
 
kminus4’
2.1 × 10-4
1
[26]
 
R7f
 
k4’
0.0021
1
[26]
 
R7r
 
kminus4’
2.1 × 10-4
1
[26]
 
R10
 
k6
4.61 × 10-6
2 (cat)
[26] corrected for mol number of PTP1B
 
R11
 
k6
4.61 × 10-6
2 (cat)
see R10
IRS
R12f
 
k7
5.8
2 (cat)
fitted to IRSYp
m8b2_irs.6.mod
R12r
 
kminus7a
8.75 × 10-5
2 (cat)
as R12f
 
R12_a_f
IRS-SerP by PKC_P
kpsp2
2.2 × 10-4
2
changed to simple MA; [27] used for fitting
 
R12_a_r
 
kminus7b
0.28 × 10-5
2 (cat)
as R12_a_f
 
R12_b_(f,r)
 
as R12_a_(f,r)
 
 
 
 
R13f
 
k8
2.6 × 10-6
2
[36] Figure 3
 
R13r
 
kminus8
1.55
1
as R13f
 
R50f
IRS basal synth
k_irs1_basal_syn
260
0
increased to keep IRS1 const
 
R50r1
IRS degrade
k_irs_basal_degr
10-3
1
Lifetime of ~2 days
 
R50r2
IRS-Yp degr
k_irs_basal_degr
10-3
1
as R50r2
 
R50r3
IRS1-Sp degr
k_irs_polyserp_degr
10-2
1
10 × faster than r50r2 [43]
 
R51
IRS-SerP by IKK_P
kcat51
0.87
 
consistent with [43] and IKK/JNK activation
 
 
IRS-SerP by IKK_P
Km51
100
 
as above
 
R52
IRS-SerP by JNK_P
kcat52
6.95
 
as R51
 
 
IRS-SerP by JNK_P
Km52
100
 
as above
Phosphatases
R30f
oxidation of PTP1B
k30f
0.08
2
[18,19]
m8b2_phosph.6.mod
R30r
reduction of PTP1B by GSH
k30r
5 × 10-3
2
[18-20]
 
R31f
oxidation of PTEN
k31f
2.7 × 10-4
2
slower than R30f
 
R31r
reduction of PTEN by GSH
k31r
2 × 10-3
2
similar to R30r
 
R34f
Activation of NOX
k34f
2 × 10-5
2
consistent with R35
 
R34r1
NOX deactivation
k34r1
10-3
2
consistent with R35
 
R34r2
NOX inactivation(1)
k34r2
0.25
1
consistent with R35
 
R34r3
NOX deact- > inact
k34r3
10-3
2
consistent with R35
 
R35f
ROS production by NOX
k35f
450
1
fitted to get desired ROS level (30/5) and PTP1B inhibition [18]
 
R35r
ROS elimination by SOD2
k35r
0.12
2
lifetime < 0.01 s
 
R36f
ROS production by Mitoch
k36f
180
1
 
 
R37f, R37r
ROS transport across plasma membrane
ros_perm
7.8 × 108 (thousands cm-2min-1)
1
[35]
 
 
 
membrane_area
6.5 × 10-9 cm2
 
from volume
 
 
 
k_ros_perm
4.8 thousands min-1
 
product of above
 
R38f
Glutathione oxidation
k38f
0.05
2
see R38f
 
R38r
Glutathione reduction
k38r
2
1
(auto-reduction)
Akt
R14f
PI(3,4,5)P3 generation, basal
k9_basal
0.13145
1
[26]
m8b2_akt.6.mod
 
By PI3K complex
k9
0.055
2 (cat)
derived from [26]
 
R14r
PIP3 breakdown, basal
kminus9_basal
2.7
1
[26]
 
 
by PTEN
kminus9
0.0014
2 (cat)
 
 
R16f
Akt activation
k11
2.5 × 10-5
2
modified mass action, effect similar to express in [26]
 
 
 
pip3_basal
200
2 (cat)
offset
 
R16r
Akt deactivation by PP2A
kminus11
1.188 × 10-6
2 (cat)
[26]
 
R17f
PKC activation
k12
3.5 × 10-5
2 (cat)
as R16f
 
R17r
PKC deactivation
kminus12
1.25 × 10-6
2 (cat)
as R16r
 
R16a
AS160 activation by AKT
kr16a
3.33 × 10-4
2 (cat)
see methods; [26,36]
 
R16r
AS160 deactivation
kminusr16a
1 × 10-6
2 (cat)
see R16a
 
R20f
GLUT4 translocation to cell surface; basal
k13_basal
0.015
1
see R16a
 
 
and by AS160
k13
7.5 × 10-6
2 (cat)
see R16a
 
R20r
GLUT4 translocation to cytoplasm
kminus13
0.167
1
see R16a
JNK
R32f
DUSP oxidation
k32f
6 × 10-4
2 (cat)
consistent with [16,35,44]
m8b2_jnk.6.mod
R32r
DUSP reduction by GSH
k32r
4 × 10-4
2 (cat)
as R32f
 
R42f
JNK activation by ROS
k42fa
2.5 × 10-4
2 (cat)
as R32f
 
R42r
JNK deactivation by DUSP
k42r
0.5 × 10-6
2 (cat)
as R32f
 
R43f
IKK activation by ROS
k43f
0.5 × 10-4
2 (cat)
as R32f
  R43r IKK deactivation k43r 0.5 × 10-6 2 (cat) as R32f

a k42f expressed as α × k42f’ where α = 5 and k42f’ = 0.5 × 10-4.

(phosphatases, Akt, JNK, FOXO).

Kinetic parameters of the model, except for the FOXO components. Units of rate constants are min-1 for first order or (number)-1 min-1 for second order.