Statistical approaches for probing single-molecule dynamics photon-by-photon

TY - JOUR

T1 - Statistical approaches for probing single-molecule dynamics photon-by-photon

AU - Yang, Haw

AU - Xie, X. Sunney

N1 - Funding Information: We acknowledge helpful discussions with Pallop Karnchanaphanurach, Guobin Luo, and Antoine M. van Oijen. This work was supported by the National Institutes of Health.

PY - 2002/11/1

Y1 - 2002/11/1

N2 - The recently developed photon-by-photon approach [H. Yang, X.S. Xie, J. Chem. Phys., 2002 (in press)] for single-molecule fluorescence experiments allows measurements of conformational fluctuation with time resolution on a vast range of time scales. In that method, each photon represents a data point, thereby affording better statistics. Here, we utilize the information carried by each detected photon to better differentiate theoretical models for the underlying dynamical processes - including two- and three-state models, and a diffusive model. We introduce a three-time correlation analysis, which is based on time series analyses, and the Kullback-Liebler distance, which is based on information theory principles [Elements of Information Theory, Wiley, New York, 1991]. The feasibility of and general procedures for applying these methods to single-molecule experiments are examined via computer simulations.

AB - The recently developed photon-by-photon approach [H. Yang, X.S. Xie, J. Chem. Phys., 2002 (in press)] for single-molecule fluorescence experiments allows measurements of conformational fluctuation with time resolution on a vast range of time scales. In that method, each photon represents a data point, thereby affording better statistics. Here, we utilize the information carried by each detected photon to better differentiate theoretical models for the underlying dynamical processes - including two- and three-state models, and a diffusive model. We introduce a three-time correlation analysis, which is based on time series analyses, and the Kullback-Liebler distance, which is based on information theory principles [Elements of Information Theory, Wiley, New York, 1991]. The feasibility of and general procedures for applying these methods to single-molecule experiments are examined via computer simulations.

UR - https://www.scopus.com/pages/publications/0036829458

UR - https://www.scopus.com/pages/publications/0036829458#tab=citedBy

U2 - 10.1016/S0301-0104(02)00672-9

DO - 10.1016/S0301-0104(02)00672-9

M3 - Article

SN - 0301-0104

VL - 284

SP - 423

EP - 437

JO - Chemical Physics

JF - Chemical Physics

IS - 1-2

ER -