I n r(m k ) | = |
| Ratio of the flux of component c provided as substrate to a reaction r j recovered in the composition of the product m k . It is the sum of individual substrate contributions. |
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F(m i ) | = | = | Total metabolite rate involved in the production of an intermediary metabolite m i , before its degradation by other reactions |
d k,i | = |
| Ratio of a product flux () on the production of |
D 1[v] | = | (d k,i ) p<k,i≤p+n+q | Linear transformation of matter components contained in intermediary or output metabolites |
D 2[v] | = | (d k,i ) p<k≤p+n+q,1≤i≤p | Linear transformation of matter component contained in input metabolites |
x[v,m] | = |
| Rates of fluxes of component brought by the m-input flux appearing in the composition of each metabolites. . |
| = |
| Constraints on component fluxes deduced from thematter-invariance law, derived from Eq.(2) below. |