Model | Expression | Parameters | Equation n° |
---|---|---|---|
Logistic | \( X(t)=\frac{X_0\cdot {e}^{\left({\mu}_{\mathrm{max}}\cdot t\right)}}{1-\frac{X_0}{X_{\mathrm{max}}}\cdot \left(1-{e}^{\left({\mu}_{\mathrm{max}}\cdot t\right)}\right)} \) | μmax; Xmax | (1) |
Logistic- with-lag | \( X(t)={X}_0+\frac{X_{\mathrm{max}}-{X}_0}{1+{e}^{\left\{\left(\frac{4\cdot {\mu}_{\mathrm{max}}}{X_{\mathrm{max}}-{X}_0}\right)\cdot \left(\lambda -t\right)+2\right\}}} \) | μmax; Xmax; λ | (2) |
Modified- Gompertz | \( X(t)={X}_0+\left({X}_{\mathrm{max}}-{X}_0\right)\cdot {e}^{\left\{-{e}^{\left(\frac{\mu_{\mathrm{max}}\cdot {e}^1}{X_{\mathrm{max}}-{X}_0}\right)\cdot \left(\lambda -t\right)+1}\right\}} \) | μmax; Xmax; λ | (3) |