By using ultra-violet and visible absorbance in conjunction with high field H-1-nuclear magentic resonance spectroscopy, the insulin hexamer has been shown to undergo two allosteric transitions in solution involving three allosteric states (T-6 reversible arrow T-3 R(3) reversible arrow R(6)). A simple mathematical model consisting of four variables has been derived that quantitatively describes the complex homotropic and heterotropic interactions that modulate these allosteric transitions. The mutation of one residue, Glu-B13 to Gin, results in an unexpected change in the T(3)R(3) to R(6) equilibrium by a factor of 10(7).