title: Skewness and Kurtosis in Statistical Kinetics.
abstract: We obtain lower and upper bounds on the skewness and kurtosis associated with the cycle completion time of unicyclic enzymatic reaction schemes. Analogous to a well-known lower bound on the randomness parameter, the lower bounds on skewness and kurtosis are related to the number of intermediate states in the underlying chemical reaction network. Our results demonstrate that evaluating these higher order moments with single molecule data can lead to information about the enzymatic scheme that is not contained in the randomness parameter.
authors.affiliation: II. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart, Germany.|Max Planck Institute for the Physics of Complex Systems, Nöthnizer Straße 38, 01187 Dresden, Germany.
authors.forename: Andre C
authors.initials: AC
authors.lastname: Barato
authors.affiliation: II. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart, Germany.
authors.forename: Udo
authors.initials: U
authors.lastname: Seifert