Statistical analysis of Single Molecule Sequences


by Professor Jianshu Cao

Department of Chemistry, MIT, Cambridge, MA 02139, USA

Time: 16:00-17:00, Friday,  Oct. 27, 2006

Place: Physics Building room 201

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This talk focuses on theoretical and numerical analysis of single molecule sequences:

(1) A transfer matrix formalism is developed to calculate the probability of single molecule sequences and to analyze various indicators ranging from two-event contours to photon statistics. An analogy to linear and non-linear spectroscopy helps understand the information content of sequences and indicators.

(2) Detailed balance violations are shown to result in detectable signatures in event histograms, which include peaks in the single molecule waiting time distribution, broken time reversal symmetry, and a lack of diagonal features in two-dimensional contours.

(3) Extracting reliable kinetic information from indicators is generally not feasible because of the noise and the binning of the data. A candidate to overcome this practical difficulty is Bayesian statistics, which avoids the data inversion problems inherent in traditional methods. Applications to the photon emission data reported in a recent single protein experiment show complex relaxation dynamics on the millisecond time-scale.

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BACK TO: Correlated system and mesoscopic physics group