Steady-State Characterization of Systems with Moiety-Conservations Made Easy: Matrix Equations of Metabolic Control Analysis and Biochemical System Theory

A set of matrix equations based on the Sensitivity Theory is derived that allows the expression of the global control properties of a pathway as a function of its local properties (and vice versa) by a single matrix inversion. The matrix of the local properties is built up from: (1) the experimentally determined coefficients, (2) a link matrix (which corresponds to the moiety-conservation relationships) and (3) the matrix reflecting the structural properties of the pathway.