Two established thermal properties of enzymes are the Arrhenius activation energy and thermal stability. Arising from anomalies found in the variation of enzyme activity with temperature, a comparison has been made of experimental data for the activity and stability properties of five different enzymes with theoretical models. The results provide evidence for a new and fundamental third thermal parameter of enzymes, T eq , arising from a subsecond timescale-reversible temperature-dependent equilibrium between the active enzyme and an inactive (or less active) form. Thus, at temperatures above its optimum, the decrease in enzyme activity arising from the temperature-dependent shift in this equilibrium is up to two orders of magnitude greater than what occurs through thermal denaturation. This parameter has important implications for our understanding of the connection between catalytic activity and thermostability and of the effect of temperature on enzyme reactions within the cell. Unlike the Arrhenius activation energy, which is unaffected by the source ("evolved") temperature of the enzyme, and enzyme stability, which is not necessarily related to activity, T eq is central to the physiological adaptation of an enzyme to its environmental temperature and links the molecular, physiological, and environmental aspects of the adaptation of life to temperature in a way that has not been described previously. We may therefore expect the effect of evolution on T eq with respect to enzyme temperature/activity effects to be more important than on thermal stability. T eq is also an important parameter to consider when engineering enzymes to modify their thermal properties by both rational design and by directed enzyme evolution.A graph of the rate of product generation against temperature is sometimes presented to show the "temperature optimum" (T opt ) of an enzyme; however, it is a misconception that this optimum is an intrinsic enzyme property. The descending limb of this plot arises mostly from the denaturation of the enzyme and, because denaturation is both time-and temperature-dependent, shorter assays give a higher T opt . In this classical description, the variation in enzyme activity with temperature can be described as follows,where V max ϭ maximum velocity of the enzyme, k cat ϭ the catalytic constant of the enzyme, [E 0 ] ϭ total concentration of enzyme, k inact ϭ thermal inactivation rate constant, and t ϭ assay duration. Both rate constants, k cat and k inact , are dependent on temperature. This gives rise to temperature/activity graphs as shown in Fig. 1A where it can be seen that the apparent T opt decreases with increasing time during the assay, but at zero time (i.e. under initial rate conditions) no temperature optimum exists (1). In the Classical Model the temperature-dependent behavior of the enzyme arises from the activation energy of the reaction and the thermal stability of the enzyme.Arising from anomalies found in the variation of enzyme activity with temperature (2-6), a proposal (1) has been m...

Traditionally, the dependence of enzyme activity on temperature has been described by a model consisting of two processes: the catalytic reaction defined by DeltaG(Dagger)(cat), and irreversible inactivation defined by DeltaG(Dagger)(inact). However, such a model does not account for the observed temperature-dependent behaviour of enzymes, and a new model has been developed and validated. This model (the Equilibrium Model) describes a new mechanism by which enzymes lose activity at high temperatures, by including an inactive form of the enzyme (E(inact)) that is in reversible equilibrium with the active form (E(act)); it is the inactive form that undergoes irreversible thermal inactivation to the thermally denatured state. This equilibrium is described by an equilibrium constant whose temperature-dependence is characterized in terms of the enthalpy of the equilibrium, DeltaH(eq), and a new thermal parameter, T(eq), which is the temperature at which the concentrations of E(act) and E(inact) are equal; T(eq) may therefore be regarded as the thermal equivalent of K(m). Characterization of an enzyme with respect to its temperature-dependent behaviour must therefore include a determination of these intrinsic properties. The Equilibrium Model has major implications for enzymology, biotechnology and understanding the evolution of enzymes. The present study presents a new direct data-fitting method based on fitting progress curves directly to the Equilibrium Model, and assesses the robustness of this procedure and the effect of assay data on the accurate determination of T(eq) and its associated parameters. It also describes simpler experimental methods for their determination than have been previously available, including those required for the application of the Equilibrium Model to non-ideal enzyme reactions.

Experimental data show that the effect of temperature on enzymes cannot be adequately explained in terms of a two-state model based on increases in activity and denaturation. The Equilibrium Model provides a quantitative explanation of enzyme thermal behaviour under reaction conditions by introducing an inactive (but not denatured) intermediate in rapid equilibrium with the active form. The temperature midpoint (Teq) of the rapid equilibration between the two forms is related to the growth temperature of the organism, and the enthalpy of the equilibrium (DeltaHeq) to its ability to function over various temperature ranges. In the present study, we show that the difference between the active and inactive forms is at the enzyme active site. The results reveal an apparently universal mechanism, independent of enzyme reaction or structure, based at or near the active site, by which enzymes lose activity as temperature rises, as opposed to denaturation which is global. Results show that activity losses below Teq may lead to significant errors in the determination of DeltaG*cat made on the basis of the two-state ('Classical') model, and the measured kcat will then not be a true indication of an enzyme's catalytic power. Overall, the results provide a molecular rationale for observations that the active site tends to be more flexible than the enzyme as a whole, and that activity losses precede denaturation, and provide a general explanation in molecular terms for the effect of temperature on enzyme activity.

The two established thermal properties of enzymes are their activation energy and their thermal stability. Arising from careful measurements of the thermal behaviour of enzymes, a new model, the Equilibrium Model, has been developed to explain more fully the effects of temperature on enzymes. The model describes the effect of temperature on enzyme activity in terms of a rapidly reversible active-inactive transition, in addition to an irreversible thermal inactivation. Two new thermal parameters, Teq and Delta Heq, describe the active-inactive transition, and enable a complete description of the effect of temperature on enzyme activity. We review here the Model itself, methods for the determination of Teq and Delta Heq, and the implications of the Model for the environmental adaptation and evolution of enzymes, and for biotechnology.

No abstract