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.