From: Mathematical modeling of solid cancer growth with angiogenesis

Symbols | Definitions |
---|---|

C
| Concentration of normal cells at time t |

E
| Concentration of epithelial cells at time t |

T
| Concentration of cancer cells at time t |

P
| Concentration of pre-angiogenesis cells at time t |

A
| Concentration of angiogenesis cells at time t |

α
_{1}
| Intrinsic growth rate of normal cells |

α
_{2}
| Intrinsic growth rate of epithelial cells |

α
_{3}
| Intrinsic growth rate of cancer cells |

ε
| Intrinsic growth rate of angiogenesis cells |

μ
_{1}
| Mortality rate of normal cells |

μ
_{2}
| Mortality rate of epithelial cells |

μ
_{3}
| Mortality rate of cancer cells |

μ
_{4}
| Mortality rate of pre-angiogenesis cells |

μ
_{5}
| Mortality rate of angiogenesis cells |

k
_{1}
| Carrying capacity of normal cells |

k
_{2}
| Carrying capacity of epithelial cells |

k
_{3}
| Carrying capacity of cancer cells |

k
_{4}
| Carrying capacity of angiogenesis cells |

δ
| Transfer rate from pre-angiogenesis to angiogenesis cells |

γ
| Epithelial sprouting rate |

β
_{1}
| Rate of inhibition of normal cells by cancer cells |

β
_{2}
| Rate of inhibition of cancer cells by normal cells |