Statistical tools for the detection of memory and conformational motions in single-enzyme kinetics

We have systematically applied the statistical methods memory landscape and difference distribution of on-times to five models of cholesterol oxidase. The memory landscape expresses the deviation from the Markov assumption. The difference distribution of on-times gives the non-Markovian part of the joint probability distribution of adjacent on-times. Both statistical tools allow an easy discrimination among the models, and therefore provide an answer to the question whether functional conformational motions are present in the turnover cycle of the enzyme. These statistical methods can be applied to any time series data from single-enzyme experiments.