Open Access
September 2012 Correlation analysis of enzymatic reaction of a single protein molecule
Chao Du, S. C. Kou
Ann. Appl. Stat. 6(3): 950-976 (September 2012). DOI: 10.1214/12-AOAS541


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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Chao Du. S. C. Kou. "Correlation analysis of enzymatic reaction of a single protein molecule." Ann. Appl. Stat. 6 (3) 950 - 976, September 2012.


Published: September 2012
First available in Project Euclid: 31 August 2012

zbMATH: 1254.92034
MathSciNet: MR3012516
Digital Object Identifier: 10.1214/12-AOAS541

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

Rights: Copyright © 2012 Institute of Mathematical Statistics

Vol.6 • No. 3 • September 2012
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