Table 1.
Parameters and their default values for the model
| Parameter | Process | Default Value | Reference |
|---|---|---|---|
| k1 | Synthesis of HOTAIR | 0.2 nM•min− 1 | [23, 28] |
| k2 | Degradation of HOTAIR | 0.1 min− 1 | [23, 28] |
| V3 | Inhibition of WIF-1 synthesis | 1 nM•min− 1 | [23, 28] |
| k+ 4 | Inhibition of Wnt synthesis | 1 nM− 1•min− 1 | [23, 28] |
| k− 4 | Dissociation of WIF-1 from the [WIF-1.Wnt] complex | 1 min− 1 | [20] |
| k+ 5 | Binding of LRP5/6 to Fzl to form [LRP5/6.Fzl] | 0.1 nM− 1•min− 1 | [30–32] |
| k− 5 | Dissociation of [LRP5/6] into LRP5/6 and Fzl | 1 min− 1 | [30–32] |
| k+ 6 | Binding of Wnt to [LRP5/6.Fzl] to form [Wnt.LRP5/6.Fzl] | 1 nM− 1•min− 1 | [30–32] |
| k−6 | Dissociation of [Wnt.LRP5/6.Fzl] into Wnt and [LRP5/6. Fzl] | 1 min− 1 | [30–32] |
| k+ 7 | Binding of LRP5/6 to Axin to form [LRP5/6.Axin] | 1 nM− 1•min− 1 | [30–32] |
| k−7 | Dissociation of [LRP5/6.Axin] into LRP5/6 and Axin | 1 min− 1 | [30–32] |
| k8 | Activation of Dsh | 0.182 min− 1 | [30–32] |
| k9 | Deactivation of Dsh | 0.0182 min− 1 | [30–32] |
| k10 | Dissociation of GSK3 from the destruction complex | 0.05 nM− 1•min− 1 | [30–32] |
| k+ 11 | Binding of GSK3 to [Axin.APC] to form [GSK3. APC.Axin] | 0.0909 nM− 1•min− 1 | [30–32] |
| k− 11 | Dissociation of [GSK3.APC.Axin] into GSK3 and [Axin.APC] | 100 min− 1 | [30–32] |
| k+ 12 | Phosphorylation of Axin and APC | 0.267 min− 1 | [30–32] |
| k− 12 | Dephosphorylation of Axin and APC | 1 min− 1 | [30–32] |
| k+ 13 | Binding of APC to Axin to form [APC.Axin] | 1 nM− 1•min− 1 | [30–32] |
| k− 13 | Dissociation of [APC.Axin] into APC and Axin | 100 min− 1 | [30–32] |
| k+ 14 | Binding of β-catenin to [GSK3.APC*.Axin*] to form [GSK3.APC*.Axin*.β-catenin] | 120 nM− 1•min− 1 | [30–32] |
| k− 14 | Dissociation of [GSK3.APC*.Axin*.β-catenin] into β-catenin and [GSK3.APC*.Axin*] | 1 min− 1 | [30–32] |
| k15 | Phosphorylation of β-catenin | 206 min− 1 | [30–32] |
| k16 | Dissociation of phosphorylated β-catenin | 0.5 min− 1 | [30–32] |
| k17 | Degradation of phosphorylated β-catenin | 0.417 min− 1 | [30–32] |
| k18 | Synthesis of Axin | 8.22*10− 5 nM•min− 1 | [30–32] |
| k19 | Degradation of Axin | 0.167 min− 1 | [30–32] |
| k+ 20 | Binding of APC to β-catenin to form [APC.β-catenin] | 1 nM− 1•min− 1 | [30–32] |
| k− 20 | Dissociation of [APC.β-catenin] into APC and β-catenin | 120 min− 1 | [30–32] |
| k21 | Synthesis of β-catenin | 0.423 nM•min− 1 | [30–32] |
| k22 | Degradation of β-catenin | 0.000257 min− 1 | [30–32] |
| k+ 23 | Binding of TCF to β-catenin to form [TCF.β-catenin] | 2 nM− 1•min− 1 | [30–32] |
| k− 23 | Dissociation of [TCF.β-catenin] into TCF and β-catenin | 20 min− 1 | [30–32] |
| k24 | Synthesis of Axin induced by [TCF.β-catenin] | 0.02 min− 1 | [30–32] |
| k25 | Synthesis of MMP-13 | 0.1 nM•min− 1 | [21] |
| k26 | Degradation of MMP-13 | 0.1 min− 1 | [21] |
| V27 | Activation of MMP-13 synthesis | 0.1 nM•min− 1 | [21] |
| K3 | Inhibition constant of WIF-1 by HOTAIR | 0.1 nM | [23, 28] |
| K8 | Activation constant of Dsh by Wnt | 10 nM | [30, 31] |
| K27 | Activation constant of MMP-13 by [TCF.β-catenin] | 1 nM | [21] |
| m3 | Degree of cooperativity of repression of WIF-1 expression by HOTAIR | 4 | [23, 28] |
| m27 | Degree of cooperativity of activation of MMP-13 expression by [TCF.β-catenin] | 4 | [23, 28] |
| Wnt | Initial concentration of Wnt | 10 nM | [30, 31, 33] |
| Fzl | Initial concentration of Fzl | 10 nM | [30, 31, 33] |
| WIF-1 | Initial concentration of WIF-1 | 10 nM | [30, 31, 33] |
| Dsh | Initial concentration of Dsh | 100 nM | [30, 31, 33] |
| APC | Initial concentration of APC | 100 nM | [30, 31, 33] |
| TCF | Initial concentration of TCF | 15 nM | [30, 31, 33] |
| GSK3 | Initial concentration of GSK3 | 50 nM | [30, 31, 33] |