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 |