Kinetics and mechanisms of enzymes; isotope effects
The
fundamental thrust of research in this lab is to use kinetic studies to
deduce enzyme mechanisms. By mechanism we mean: 1) the kinetic
mechanism, which is a qualitative description of the order of substrate
combination and product release from the enzyme, 2) determination of
rate limiting steps from quantitative analysis of the kinetic
mechanism, 3) the chemical mechanism, including the nature of any
intermediates, the identification of any groups on the enzyme acting as
acid-base catalysts, and the roles of any cofactors, 4) the nature of
the transition state for the chemical reaction catalyzed by the enzyme.
A
variety of kinetic experiments is used to deduce this information. The
algebraic form of the rate equation as a function of substrate
concentrations limits the kinetic mechanism, while inhibition patterns
for products or dead end inhibitors vs. the various substrates pin it
down, and often help to determine the rate limiting steps. Isotope
exchange and partitioning studies complete the analysis of kinetic
mechanism. The chemical mechanism is deduced by studying the pH
variation of the kinetic parameters (this identifies the acid-base
catalysts, and necessary protonation states of the substrate for
binding and catalysis), and by certain isotope effect studies. When
both a deuterium and a 13C isotope effect can be measured on the same reaction, the size of the 13C
isotope effect with a deuterated and unlabeled substrate tells whether
the reaction is stepwise (deuteration decreases the observed 13C
isotope effect) or concerted (deuteration raises it). In the former
case, quantitative analysis tells whether the deuterium- or 13C-sensitive step comes first.
The
transition state structures are deduced from isotope effects in the
same fashion as the physical organic chemist does. But in order to
determine the intrinsic isotope effects on the chemical steps it is
necessary to measure several isotope effects and solve the equations
for them simultaneously. These can be deuterium and tritium isotope
effects on the same step, or 13C or other heavy atom
isotope effects with a deuterated and unlabeled substrate when both
isotope effects are on the same step. These methods give narrow limits
on isotope effects, and in favorable cases an alpha-secondary deuterium
isotope effect and its effect on a 13C isotope effect supply two more equations with only one more unknown and provide an exact solution for the system.
Current
projects being studied involve the chemistry of several enzymes, and
the mechanisms of phosphoryl and acyl transfer. These studies employ 15N, 13C and 18O isotope effects