Steady-State Enzyme Kinetics at High Pressure

Author(s):  
Dexter B. Northrop

Pressure effects on enzyme-catalyzed reactions were traditionally interpreted within a simplistic kinetic mechanism in which the transition state presented the highest energy barrier, and the chemical transformation of substrate to product was considered to be a singular, rate-limiting step. This was also true of isotope effects on enzyme-catalyzed reactions, but extensive isotopic studies have led to the conclusion that this transition state is rarely the highest barrier. Rather, the release of products (or the conformational change preceding product release) is usually the slowest step, often accompanied by several other partially ratelimiting steps. Thus, our interpretations of pressure effects must be shifted accordingly. Values attributed to AV‡ have been determined for more than 50 enzymes, more of them with a positive sign than negative, and most in the range of 20 to 40 ml mol–1 but these may or may not have anything to do with the activation volume associated with the transition state. Volume changes specifically associated with the binding of ligands to enzymes have been reported as well, including some very large values, as high as ΔV = 85 ml mo–1. Kinetically, these equilibrium pressure effects also originate in conformational changes because water is not very compressible; hence, rates of diffusion to and from enzymes are virtually unaffected by pressure. Much larger changes, as high as ΔV = –391 mi mo–1, have been observed during disaggregation and denaturation of enzymes. Thus, while it is possible for pressure effects to be expressed on every step of an enzymatic reaction, and to cause denaturation as well, making kinetic data from pressure effects hopelessly complex and uninterpretable, it appears likely that the most significant pressure effects will be expressed on conformational changes associated with product dissociations, without much kinetic complexity. This makes sense from another point of view—that the largest volume changes are probably on solvation equilibria during ligand binding and protein folding. Pressure effects on isotope effects have the potential of specifically identifying whether or not a volume change occurs upon attaining the transition state. With the exception of hydrogen tunneling, intrinsic isotope effects are independent of pressure.

Author(s):  
Claude Balny

In a detailed study of an enzyme reaction pathway, a measured composite rate constant, for example, kcat, can be interpreted in ways that lead to ambiguous conclusions. Two conditions must be met to solve this problem: (1) an elementary rate constant must be measured, and (2) a maximum number of physical-chemical parameters must be used to perturb the system under study. To gain access to elementary rate constants, cryobaroenzymology and/or transient methods, such as stopped-flow and flow-quench kinetics, can be used. Both perturbation and kinetics measurements performed under either high pressure or low temperatures can then be used to probe the thermodynamics of the interconversion of two successive intermediates to obtain parameters such as ΔG‡, ΔS‡, ΔH‡, and ΔV‡ The interdependence of the two major variables, namely temperature and pressure, is presented in this article, in which the role of organic cosolvents is considered as a third variable. During catalytic reactions, enzymes undergo a number of conformational changes related to their dynamic structural flexibility. This appears as a succession of different steps. A complete study of such processes, which generally are very rapid, consists of the exploration of the properties of these steps, including thermodynamic features obtained by the action of temperature and pressure. As long ago as 1950, Laidler (1950) formulated the first theoretical basis for explaining the responses of enzymes to high hydrostatic pressures. Chemists used this parameter extensively, and in the early stages of high-pressure kinetics they attempted to analyze the observed results on the basis of collision theory (Asano, 1991) or transition-state theory (Evans & Polanyi, 1935). These theories are still used to describe pressure effects on enzyme reactions. It is postulated that between two successive intermediates there is a labile transition state which governs the energetics of the reaction (Glastone et al., 1941). But we must remember that this theory was first applied only to simple homogeneous reactions in gases. For solutions, the treatment can require the introduction of other parameters such as the viscosity.


1997 ◽  
Vol 303 (2) ◽  
pp. 191-196 ◽  
Author(s):  
Tianzhi Wang ◽  
Yi Liu ◽  
Weiping Li ◽  
Hongwen Wan ◽  
Feng Yang ◽  
...  

2007 ◽  
Vol 282 (46) ◽  
pp. 33484-33493 ◽  
Author(s):  
William C. Cooper ◽  
Yi Jin ◽  
Trevor M. Penning

Hydroxysteroid dehydrogenases (HSDs) are essential for the biosynthesis and mechanism of action of all steroid hormones. We report the complete kinetic mechanism of a mammalian HSD using rat 3α-HSD of the aldo-keto reductase superfamily (AKR1C9) with the substrate pairs androstane-3,17-dione and NADPH (reduction) and androsterone and NADP+ (oxidation). Steady-state, transient state kinetics, and kinetic isotope effects reconciled the ordered bi-bi mechanism, which contained 9 enzyme forms and permitted the estimation of 16 kinetic constants. In both reactions, loose association of the NADP(H) was followed by two conformational changes, which increased cofactor affinity by >86-fold. For androstane-3,17-dione reduction, the release of NADP+ controlled kcat, whereas the chemical event also contributed to this term. kcat was insensitive to [2H]NADPH, whereas Dkcat/Km and the Dklim (ratio of the maximum rates of single turnover) were 1.06 and 2.06, respectively. Under multiple turnover conditions partial burst kinetics were observed. For androsterone oxidation, the rate of NADPH release dominated kcat, whereas the rates of the chemical event and the release of androstane-3,17-dione were 50-fold greater. Under multiple turnover conditions full burst kinetics were observed. Although the internal equilibrium constant favored oxidation, the overall Keq favored reduction. The kinetic Haldane and free energy diagram confirmed that Keq was governed by ligand binding terms that favored the reduction reactants. Thus, HSDs in the aldo-keto reductase superfamily thermodynamically favor ketosteroid reduction.


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