Cooperative conformational transitions and the temperature dependence of enzyme catalysis

Many enzymes display non-Arrhenius behaviour with curved Arrhenius plots in the absence of denaturation. There has been significant debate about the origin of this behaviour and recently the role of the activation heat capacity [Formula] has been widely discussed. If enzyme-catalysed reactions occur with appreciable negative values of [Formula] (arising from narrowing of the conformational space along the reaction coordinate), then curved Arrhenius plots are a consequence. To investigate these phenomena in detail, we have collected high precision temperature-rate data over a wide temperature interval for a model glycosidase enzyme MalL, and a series of mutants that change the temperature-dependence of the enzyme-catalysed rate. We use these data to test a range of models including macromolecular rate theory (MMRT) and an equilibrium model. In addition, we have performed extensive molecular dynamics (MD) simulations to characterise the conformational landscape traversed by MalL in the enzyme-substrate complex and an enzyme-transition state complex. We have crystallised the enzyme in a transition state-like conformation in the absence of a ligand and determined an X-ray crystal structure at very high resolution (1.10 [A]). We show (using simulation) that this enzyme-transition state conformation has a more restricted conformational landscape than the wildtype enzyme. We coin the term "transition state-like conformation (TLC)" to apply to this state of the enzyme. Together, these results imply a cooperative conformational transition between an enzyme-substrate conformation (ES) and a transition-state-like conformation (TLC) that precedes the chemical step. We present a two-state model as an extension of MMRT (MMRT-2S) that describes the data along with a convenient approximation with linear temperature dependence of the activation heat capacity (MMRT-1L) that can be used where fewer data points are available. Our model rationalises disparate behaviour seen for MalL and a thermophilic alcohol dehydrogenase and is consistent with a raft of data for other enzymes. Our model can be used to characterise the conformational changes required for enzyme catalysis and provides insights into the role of cooperative conformational changes in transition state stabilisation that are accompanied by changes in heat capacity for the system along the reaction coordinate. TLCs are likely to be of wide importance in understanding the temperature dependence of enzyme activity, and other aspects of enzyme catalysis.