$\displaystyle\sum_{n,e} (\displaystyle\frac{dn_i}{n_i dt}-\beta_i -\displaystyle\sum_k \gamma_{ki} e_k - \displaystyle\sum_k \delta_{ki} e_k ^2 - \displaystyle\sum_j \alpha_{ji} n_j )= 0$

\displaystyle\frac{dn_i}{n_i dt}-\beta_i -\displaystyle\sum_k \gamma_{ki} e_k - \displaystyle\sum_k \delta_{ki} e_k ^2 - \displaystyle\sum_j \alpha_{ji} n_j = 0

$\displaystyle\sum_i (\displaystyle\frac{dn_i}{n_i dt}-\beta_i -\displaystyle\sum_k \gamma_{ki} e_k - \displaystyle\sum_k \delta_{ki} e_k ^2 - \displaystyle\sum_j \alpha_{ji} n_j )^2 = min$

(dn_i/(n_i dt) - beta_i - @SUM( gamma_ki * e_k , k) - @SUM( delta_ki * e_k^2 , k) - @SUM( alpha_ji * n_j )^2 = min

$\displaystyle\sum_{n,e} (\displaystyle\frac{dn_i}{n_i dt} e_l -\beta_i e_l -\displaystyle\sum_k \gamma_{ki} e_k e_l - \displaystyle\sum_k \delta_{ki} e_k ^2 e_l - \displaystyle\sum_j \alpha_{ji} n_j e_l )= 0$

\displaystyle\sum_{n,e} (\displaystyle\frac{dn_i}{n_i dt} e_l -\beta_i e_l -\displaystyle\sum_k \gamma_{ki} e_k e_l - \displaystyle\sum_k \delta_{ki} e_k ^2 e_l - \displaystyle\sum_j \alpha_{ji} n_j e_l )= 0

$\displaystyle\sum_{n,e} (\displaystyle\frac{dn_i}{n_i dt} e_l ^2 -\beta_i e_l -\displaystyle\sum_k \gamma_{ki} e_k e_l ^2 - \displaystyle\sum_k \delta_{ki} e_k ^2 e_l ^2 - \displaystyle\sum_j \alpha_{ji} n_j e_l ^2)= 0$

\displaystyle\sum_{n,e} (\displaystyle\frac{dn_i}{n_i dt} e_l ^2 -\beta_i e_l -\displaystyle\sum_k \gamma_{ki} e_k e_l ^2 - \displaystyle\sum_k \delta_{ki} e_k ^2 e_l ^2 - \displaystyle\sum_j \alpha_{ji} n_j e_l ^2)= 0

$\displaystyle\sum_{n,e} (\displaystyle\frac{dn_i}{n_i dt} n_l -\beta_i n_l-\displaystyle\sum_k \gamma_{ki} e_k n_l - \displaystyle\sum_k \delta_{ki} e_k ^2 n_l - \displaystyle\sum_j \alpha_{ji} n_j n_l )= 0$

\displaystyle\sum_{n,e} (\displaystyle\frac{dn_i}{n_i dt} n_l -\beta_i n_l-\displaystyle\sum_k \gamma_{ki} e_k n_l - \displaystyle\sum_k \delta_{ki} e_k ^2 n_l - \displaystyle\sum_j \alpha_{ji} n_j n_l )= 0