Reciprocity or near-reciprocity of highly coupled enzymatic processes at the multidimensional inflection point.

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Abstract
It has recently been demonstrated that coupled enzmatic processes may possess, for a particular choice of the state variables, multidimensional inflection points in thermodynamic force-flow space. The conditions for reciprocity in the linear region near such a reference state, which may be far from equilibrium, are of considerable interest. It is shown by examining the associated Hill diagrams that all cycles in which a given pair of forces act contribute a corresponding pair of symmetrical terms to the Jacobian matrix characterizing perturbations about this stationary state. To the extent that these cycles dominate, i.e., to the extent that the system is highly coupled, reciprocity or near-reciprocity will be obeyed. This would be expected to be the case in most biological systems.