## Correlation analysis of enzymatic reaction of a single protein molecule.(English)Zbl 1254.92034

Summary: 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 models predict. 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.

### MSC:

 92C42 Systems biology, networks 92C05 Biophysics 92C45 Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) 92C40 Biochemistry, molecular biology 62P10 Applications of statistics to biology and medical sciences; meta analysis
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### References:

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