Comparing kinetic responses to average irradiance ($I_{av}$)
| Model | Equation |
|---|---|
| Tamiya | $$\mu = \frac{\mu_{max} \cdot I_{av}}{I_k + I_{av}} - m$$ |
| Van Oorshot | $$\mu = \mu_{max} \cdot \left( 1 - e^{-\frac{I_{av}}{I_{kv}}} \right) - m$$ $I_{kv} = \frac{I_k}{\ln(2)}$ |
| Blackmann | $$\mu = \frac{\mu_{max} \cdot I_{av}}{2 \cdot \alpha} \left[ 1 + \frac{\alpha}{I_{av}} - \sqrt{\left( 1 - \frac{\alpha}{I_{av}} \right)^2} \right] - m$$ |
| Molina et al. | $$\mu = \frac{\mu_{max} \cdot I_{av}^n}{I_k^n + I_{av}^n} - m$$ |
| Bannister | $$\mu = \frac{\mu_{max} \cdot I_{av}}{(I_{kb}^n + I_{av}^n)^{1/n}} - m$$ $I_{kb} = I_k \cdot \sqrt[n]{2^n - 1}$ |
| Camacho-Rubio | $$\mu = \frac{\mu_{max} \cdot I_{av} \cdot (1 + \kappa)}{2 \cdot \alpha} \left[ 1 + \kappa + \frac{\alpha}{I_{av}} - \sqrt{\left( 1 - \kappa - \frac{\alpha}{I_{av}} \right)^2 + 4\kappa} \right] - m$$ |