The Annals of Applied Statistics

Correlation analysis of enzymatic reaction of a single protein molecule

Chao Du and S. C. Kou

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New advances in nano sciences open the door for scientists to study biological processes on a microscopic molecule-by-molecule basis. Recent single-molecule biophysical experiments on enzyme systems, in particular, reveal that enzyme molecules behave fundamentally differently from what classical model predicts. A stochastic network model was previously proposed to explain the experimental discovery. This paper conducts detailed theoretical and data analyses of the stochastic network model, focusing on the correlation structure of the successive reaction times of a single enzyme molecule. We investigate the correlation of experimental fluorescence intensity and the correlation of enzymatic reaction times, and examine the role of substrate concentration in enzymatic reactions. Our study shows that the stochastic network model is capable of explaining the experimental data in depth.

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Ann. Appl. Stat., Volume 6, Number 3 (2012), 950-976.

First available in Project Euclid: 31 August 2012

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Autocorrelation continuous time Markov chain fluorescence intensity Michaelis–Menten model stochastic network model single-molecule experiment turnover time


Du, Chao; Kou, S. C. Correlation analysis of enzymatic reaction of a single protein molecule. Ann. Appl. Stat. 6 (2012), no. 3, 950--976. doi:10.1214/12-AOAS541.

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