Constructing a chemical reaction network from an ode system

Specific Domains Modelling & Simulations
1

The so called Hungarian Lemma states that a system of ODEs with polynomial RHS

x'_j =f_j(x),j=\overline{1,n}

comes from a mass-action chemical reaction network if and only if all the negative monomials of f_f have x_j among the factors. Of course there are many Chemical Reaction Networks inducing the same system of ODEs. My question is : is there a way to construct one such CRN starting with a system of ODEs satisfying the Hungarian Lemma?

2

We don’t have tooling that does this right now, but it would be an interesting symbolic pass that can be written heuristically.