Entropy enzyme catalysis

Clearly, proximity and orientation play a role in enzyme catalysis, but there is a problem with each of the above comparisons. In both cases, it is impossible to separate true proximity and orientation effects from the effects of entropy loss when molecules are brought together (described the Section 16.4). The actual rate accelerations afforded by proximity and orientation effects in Figures 16.14 and 16.15, respectively, are much smaller than the values given in these figures. Simple theories based on probability and nearest-neighbor models, for example, predict that proximity effects may actually provide rate increases of only 5- to 10-fold. For any real case of enzymatic catalysis, it is nonetheless important to remember that proximity and orientation effects are significant. 

Enthalpy of activation, 10, 156-160 Entropy of activation, 10, 156-160 compared with AV, 169 concentration units and, 168 precision of, 168 Enzyme catalysis, 90-94 Equilibria, complexation, 145-148 Exchange reactions, kinetics of,... 

The entropic hypothesis seems at first sight to gain strong support from experiments with model compounds of the type listed in Table 9.1. These compounds show a huge rate acceleration when the number of degrees of freedom (i.e., rotation around different bonds) is restricted. Such model compounds have been used repeatedly in attempts to estimate entropic effects in enzyme catalysis. Unfortunately, the information from the available model compounds is not directly transferable to the relevant enzymatic reaction since the observed changes in rate constant reflect interrelated factors (e.g., strain and entropy), which cannot be separated in a unique way by simple experiments. Apparently, model compounds do provide very useful means for verification and calibration of reaction-potential surfaces... 

In enzyme catalysis entropy is probably one of the most important factors. Enzyme reactions take place with substrates that are nanoconfined in the active sites and form a very tight enzyme-substrate complex. The catalytic groups are part of the same molecule as the substrate so there is no loss of transition or rotational entropy in the TS. 

The high effective concentration of intramolecular groups is one of the most important reasons for the efficiency of enzyme catalysis. This can be explained theoretically by using transition state theory and examining the entropy term in the rate equation (2.7). It will be seen that effective concentrations may be calculated by substituting certain entropy contributions into the exp (AS /R) term of equation 2.7. 

Ensembles 600 Enterokinase 480 Enthalpy 55 activation 56, 545-547 protein folding 509 -512 specific heat effects 511, 545 - 547 Enthalpy-entropy compensation 346 Enthalpy versus entropy in protein folding 509-512, 587, 599 Entropy 55, 68-72 activation 56, 545 -547 binding 324, 345 Boltzmann equation 510 chelate effect 345 configurational 510 configurational entropy of loops 535 effective concentration 68-72 equilibria on enzyme surface 118 hydrogen bond 338 hydrophobic bond 332, 510 importance in enzyme catalysis 72 importance in enzyme-substrate binding 72... 

In the 1960 s and 1970 s, much indirect evidence was obtained in favour of protein intramolecular mobility, i.e. the entropy and energy specificity of enzyme catalysis (Likhtenshtein, 1966, 1976a, b, 1979, 1988 Lumry and Rajender, 1970 Lumry and Gregory, 1986). The first observations made concerned the transglobular conformational transition during substrate-protein interaction (Likhtenshtein, 1976), the reactivity of functional groups inside the protein globule, and proteolysis. 

Entropy of activation (continued) sign of, 256 Entropy unit, 242 Enzyme catalysis, 102 Enzyme-substrate complex, 102 Equilibrium, 60, 97, 99, 105, 125, 136 condition for, 205 displacement from, 62, 78 in transition state theory, 201, 205 Equilibrium assumption, 96 Equilibrium constant, 61. 138 complexation, 152 dissociation, 402 ionization, 402 kinetic determination of, 279 partition functions in, 204 pressure dependence of, 144 temperature dependence of, 143, 257 transition state, 207 Equivalence, kinetic, 123 Error analysis, 40 Error propagation, 40 Ester hydrolysis, 4 Euler s method, 106 Excess acidity method, 451 Exchange... 

Page, M. 1. Entropy, binding energy, and enzymic catalysis. Angew. Chem. Int. Ed. Engl. 1977,16, 449-459. 

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