From: A Theoretical Model of the Wnt Signaling Pathway in the Epithelial Mesenchymal Transition

Parameter | Definition | Units | Assumed Value | Source |
---|---|---|---|---|

α_{1}
| Basal production of E-cadherin | \( \frac{nM}{\mathit{\min}} \) | 0.01 | estimated |

α_{2}
| Basal production of β-catenin | \( \frac{nM}{\mathit{\min}} \) | 0.01 | [13] |

α_{3}
| Basal production of Slug | \( \frac{nM}{\mathit{\min}} \) | 0.001 | estimated |

β_{1}
| Basal degradation of E-cadherin | \( \frac{1}{\mathit{\min}} \) | 0.03 | estimated |

β_{2}
| Rate at which β-catenin binds to the GSK-3β / Axin/APC complex | \( \frac{1}{\mathit{\min}} \) | 0.03 | estimated |

β_{3}
| Basal degradation of Slug | \( \frac{1}{\mathit{\min}} \) | 0.03 | estimated |

k
_{0}
| Rate at which Dvl inactivates the GSK-3β/Axin/ APC complex | \( \frac{nM}{\mathit{\min}} \) |
3.7 ∙ 10^{−3}
| estimated |

k
_{1}
| Rate at which E-cadherin sequesters β-catenin at the cell membrane | \( \frac{nM}{\mathit{\min}} \) | 0.01 | estimated |

k
_{2}
| Rate at which β-catenin upregulates Slug in the cell nucleus | \( \frac{nM}{\mathit{\min}} \) | 1 | estimated |

IC
_{
S
}
| Half maximal concentration of Slug required to inhibit E-cadherin transcription |
nM
| 3.3 | estimated |

IC
_{
B
}
| Half maximal concentration of β-catenin needed up upregulate Slug |
nM
| 0.33 | estimated |

IC
_{
E
}
| Half maximal concentration of E-cadherin needed for sequestration of β-catenin at membrane |
nM
| 0.033 | estimated |

IC
_{
D
}
| Half maximal concentration of Dvl needed to inhibit the degradation of β-catenin by GSK-3β |
nM
| 0.67 | estimated |

n
_{1}
| Hill Coefficient | – | 3 | estimated |

n
_{2}
| Hill Coefficient | – | 2 | estimated |

n
_{3}
| Hill Coefficient | – | 2 | estimated |

n
_{4}
| Hill Coefficient | – | 5 | estimated |