Before revision:  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:  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 information regarding the steady state behaviour of the entire family .