Canonical form of reduced design matrices for binding models that include a single protein conformation. (A–D) Reduced design matrices for proteins containing two (A), three (B), four (C), or n (D) binding sites. Proteins are assumed to occupy a single conformation. Matrix elements derived from states with one, two, three, four, or n bound ligands are color coded red, blue, purple, green, and orange, respectively. The general form of the matrix elements in all cases is given by Eq. 15.