Before revision:  Further, we address the questions of model selection and experimental design  by investigating the algebraic dependencies of the chemical concentrations at positive steady state. To this end we define the positive steady state matroid as one of our central objects of study. We show that, given a family with toric steady states and a constant number of conservation relations, we can build a chain of matroids that encodes important algebraic information regarding the steady state behaviour of the entire family  .
After revision:  Further, we address the questions of model selection and experimental design by investigating the algebraic dependencies of the chemical concentrations using matroids. Given a family with toric steady states and a constant number of conservation relations, we can build a chain of matroids that encodes important algebraic information regarding the steady state behaviour of the entire family .