Thermodynamics pseudoisomer groups

This equation has the same form as equation 4.1-5, which applies to a chemical reaction described in terms of species. It shows why the world of biochemical thermodynamics at specified pH looks so much like the world of chemical thermodynamics that is described by equation 4.1-5. An important difference between these equations is that the terms in the summation on the right side of equation 4.1-30 deal with pseudoisomer groups, like ATP, rather than species. 

Linear algebra clarifies the use of Legendre transforms in biochemical thermodynamics in the sense that when an independent concentration variable is held constant, its row and column are omitted in the conservation matrix and then redundant columns are eliminated because they indicate pseudoisomer groups. By use of RowReduce many different choices of components can be found. 

---