Recent studies in single-molecule enzyme kinetics reveal that the turnover statistics of a single enzyme is governed by the waiting time distribution that decays as mono-exponential at low substrate concentration and multi-exponential at high substrate concentration. The multi-exponentiality arises due to protein conformational fluctuations, which act on the time scale longer than or comparable to the catalytic reaction step, thereby inducing temporal fluctuations in the catalytic rate resulting in dynamic disorder. In this work, we study the turnover statistics of a single enzyme in the presence of inhibitors to show that the multi-exponentiality in the waiting time distribution can arise even when protein conformational fluctuations do not influence the catalytic rate. From the Michaelis-Menten mechanism of inhibited enzymes, we derive exact expressions for the waiting time distribution for competitive, uncompetitive, and mixed inhibitions to quantitatively show that the presence of inhibitors can induce dynamic disorder in all three modes of inhibitions resulting in temporal fluctuations in the reaction rate. In the presence of inhibitors, dynamic disorder arises due to transitions between active and inhibited states of enzymes, which occur on time scale longer than or comparable to the catalytic step. In this limit, the randomness parameter (dimensionless variance) is greater than unity indicating the presence of dynamic disorder in all three modes of inhibitions. In the opposite limit, when the time scale of the catalytic step is longer than the time scale of transitions between active and inhibited enzymatic states, the randomness parameter is unity, implying no dynamic disorder in the reaction pathway.

Hydrogen sulfide is produced from l-cysteine by the action of both cystathionine γ-lyase (CSE) and cystathionine β-synthase (CBS) and increasingly has been found to play a profound regulatory role in a range of physiological processes. Mounting evidence suggests that upregulation of hydrogen sulfide biosynthesis occurs in several disease states, including rheumatoid arthritis, hypertension, ischemic injury, and sleep-disordered breathing. In addition to being critical tools in our understanding of hydrogen sulfide biology, inhibitors of CSE hold therapeutic potential for the treatment of diseases in which increased levels of this gasotransmitter play a role. We describe the discovery and development of a novel series of potent CSE inhibitors that show increased activity over the benchmark inhibitor and, importantly, display high selectivity for CSE versus CBS.