A theoretical treatment is worked out for the kinetic scheme in which the concentration of P, is followed. The steady-state and transient phase equations are obtained subject to the condition that the substrate concentration is greatly in excess of the enzyme concentration. The conditions under which evidence in favor of this mechanism can be obtained from experimental data are discussed. Under certain conditions, the weight of the enzyme corresponding to one active site can be determined. Methods for the evaluation of the different constants are described.
INTRODUCTIONThe description of the transient phase of an enzyme-substrate system in cases i~lvolvilig one enzyme-substrate co~nplex or two consecutive enzyme-substrate complexes with products appearing as a result of the decompositio~l of the last complex has been given previously (1, 2). In certain cases, such as the hydrolysis of esters by chymotrypsin (3) or by trypsi11 (4), there are indications that the release of products involves two steps, one for the release of the alcohol and one for the release of the acid. Follo\ving the rate of appearance of the first-appearing product is often possible (if the alcohol is a phenol, for example, and can be determined calorimetrically), and could provide additional useful information on the mechanism of the reaction. The purpose of this paper will be to~discuss such a case in more detail than has been done previously ( 5 ) .
THEORY Let us consider the systemIn most cases the concentration of the substrate SO is much larger than the concentration of the enzyme eo, so that so call be co~lsidered constallt cluring the transient phase. The following differential equatio~ls describe the system: