ongoing holistic, structural foundation of bioregulation biology is binding and catalysis, binding regulates catalysis via log derivative, with full regulation profile characterized by a polyhedron. flux exponent control (FEC) for dynamic metabolism modelling metabolism dynamics through constraint-based approach that can utilize sparse data; upgrade flux balance analysis (FBA) to naturally accomodate dynamics; FEC includes biological constraint that cells regulat metabolism via binding reactions. mathematical foundation of log derivatives general formula for log derivative of a binding network, and dominance decomposition tree (DTT) to directly obtain log derivative polyhedra. biocircuit analysis by binding and catalysis (ABC) log derivatives have strong structures in biocircuits, and dynamic properties can be encoded in them, such as stability, control, multistability, and oscillations, in an intuitive way. past