\begin{align}
 \label{berry:qf} q_f&=\frac{f}{f+\mu_f}\\
 \label{berry:sp} \sigma_p(q_f)&=f_p\,e^{\left(\xi_p\,q_f\right)}\\
 \label{berry:sg} \sigma_g(q_f)&=f_g\,e^{\left(\xi_g\,q_f\right)}\\
  \label{berry:m} \frac{d\,m}{d\,t}&=k_g \frac{f\,g}{K_G+f}-\frac{m\,p}{1+m}+r_{im}\\
 \label{berry:f} \frac{d\,f}{d\,t}&=-k_g \frac{f\,g}{K_G+f}+\frac{m\,p}{1+m}-\frac{f\,p}{1+f}\\
 \label{berry:pmod} \frac{d\,p}{d\,t}&=\sigma_p(q_f) \gamma \frac{f^n}{K^n_R + f^n}-k_a\,p^2\\
\label{berry:gmod} \frac{d\,g}{d\,t}&=\sigma_g(q_f) \beta \frac{f^l}{K^l_S + f^l}-k_{deg} \frac{g\,p}{K_{deg}+g}
\end{align}
