title: A transfer-function representation for the input-output relation in consecutive Michaelis-Menten-type reactions.
abstract: A transfer-function representation is devised to describe analytically and approximately the reaction velocity (output) in response to the substrate influx rate (input) in single and two consecutive Michaelis-Menten-type reactions in an open and homogeneous system. The transfer function for single reactions has an expression of first-order system, the time constant of which is dependent on the kinetic parameters and flow rate (steady-state value of the input and output), but independent of the magnitude of the input change. The transfer function for the two-reaction system can be formed with successive multiplication of the transfer functions for the first and second reactions. The validity of the representation is examined with variation in the kinetic parameters and flow rate by comparing the output of the transfer function with the actual response obtained from the computer simulation, that is, numerical integration of the rate equation. The analysis of the indicial responses indicates that the transfer functions for single and two consecutive reactions are valid within a certain error for the response around a steady state.
authors: Institute of Information Sciences and Electronics, University of Tsukauba, Ibaraki, Japan.
authors: N
authors: N
authors: Sakamoto
mesh_terms: D004798:Enzymes / Q000737:chemistry*; D007700:Kinetics; D008956:Models, Chemical
chemical_list: D004798:Enzymes