Dynamic modeling in the extreme requires knowledge of the formal kinetics and kinetic constants, as well as reaction stoichiometry, for a deterministic approach using systems of nonlinear ordinary differential equations of the form: where dS(t)/dt refers to the time derivative of the concentration vector for all species in the pathway or network, N is the stoichiometry matrix for all reactions in the pathway or network, and ν(S,k)is the flux vector defined by the rate constants (k) governing all reactions in the pathway or network.
