Table 1. Parameters in the core control (miR-451–AMPK–mTOR) model.
Par | Description | Value | Ref |
---|---|---|---|
μG | glucose consumption rate | 0.5 | [17, 47] |
ℓ1 | miR-451 autocatalytic production rate | 4.0 | [14, 17] |
ℓ2 | Hill-type coefficient | 1.0 | [14, 17] |
α | inhibition strength of miR-451 by AMPK complex | 1.6 | [14, 17] |
thM | threshold of miR-451 for invasion/growth switch | 1.84 | computed* |
ℓ3 | AMPK autocatalytic production rate | 4.0 | [14, 17] |
ℓ4 | Hill-type coefficient | 1.0 | [14, 17] |
β | inhibition strength of AMPK complex by miR-451 | 1.0 | [14, 17] |
thA | threshold of AMPK for invasion/growth switch | 1.25 | computed* |
S1 | signaling source of AMPK | 0.2 | [14, 17] |
ϵ1 | scaling factor (slow dynamics) of AMPK complex | 0.02 | [11, 14, 17, 48, 49] |
ℓ5 | AMPK autocatalytic production rate | 4.0 | [14, 17] |
ℓ6 | Hill-type coefficient | 1.0 | [14, 17] |
γ | inhibition strength of AMPK complex by miR-451 | 1.0 | [14, 17] |
thR | threshold of mTOR for invasion/growth switch | 2.76 | computed* |
S2 | signaling source of mTOR | 1.2 | [14, 17] |
ϵ2 | scaling factor (slow dynamics) of mTOR | 0.02 | [11, 14, 17, 48, 49] |
μD | drug decay rate | 1.316 | [41, 50] |
*The values are obtained using Matlab numerical bifurcation toolbox Matcont [46].