Some notes on the theory of reaction rates: Enzymatic reactions

Abstract

A generalized model of an enzymatic reaction in a biological system is used for the construction of a possible model of the “concentrating mechanism” after the introduction of a tracer, and for the formulation of an excretion rate of substances reabsorbed or actively secreted into the urine by the kidneys. In considering this generalized model of the enzymatic reaction, the term “tracer” is used in a limited sense, and it is concluded that a linear system is suitable for the study of the kinetics of the tracer—even in the case when the transport of the tracer between compartments is due to an enzymatic reaction. The rate coefficients of the linear differential systems, which are dependent on the state of the enzymatic system, are functions of the amount of the substrates, as well as of the amounts of activators and inhibitors of the enzymatic reaction and of the amount of the substances, which are responsible for the enzyme production.