Table 1 The four models considered for estimating the mode of growth of the cancer cells based on data from monoculture spheroids seeded at a low density of 10,000 cells.
Growth model | Equation | Parameters |
|---|---|---|
Exponential | \(\frac{{{\text{dN}}}}{{{\text{dt}}}} = {\text{rN}}\) | r is the instantaneous per capita growth rate N is population size K is the carrying capacity |
Logistic | \(\frac{dN}{{dt}} = rN\left( {1 - \frac{N}{K}} \right)\) | |
Gompertz | \(\frac{dN}{{dt}} = r{\text{N*ln}}\left( \frac{K}{N} \right)\) | |
Monod | \(\frac{dN}{{dt}} = r\left( {K - N} \right)\) |
