title: [Representation of the characteristic equation for an unbranched enzymatic reaction with an arbitrary number of steps as a polynomial].
abstract: A simple rule is proposed to represent the characteristic equation for the system of differential equations which simulate the kinetics of enzyme reaction as polynom. The coefficients of polynom are the algebraic functions of kinetic constants, substrate and product concentrations. The representation of characteristic equation in this form quickly estimates the relaxation time of the reaction. The rule was obtained for enzyme reaction with arbitrary number of sequential steps and consists in application of some operator to the elementary kinetic constants matrix.
mesh_terms: D002384:Catalysis; D004798:Enzymes; D007700:Kinetics; D008433:Mathematics; D008956:Models, Chemical
chemical_list: D004798:Enzymes
vernacular_title: Predstavlenie kharakteristicheskogo uravneniia nerazvetvlennoĭ fermentativnoĭ reaktsii s proizvol'nym chislom stadiĭ v vide polinom.