Markov processes in single molecule fluorescence

This article examines the current status of Markov processes in single molecule fluorescence. For molecular dynamics to be described by a Markov process, the Markov process must include all states involved in the dynamics and the first-passage time (FPT) distributions out of those states must be describable by a simple exponential law. The observation of non-exponential FPT distributions or other evidence of non-Markovian dynamics is common in single molecule studies and offers an opportunity to expand the Markov model to include new dynamics or states that improve understanding of the system.

[1]  Hong Qian,et al.  On detailed balance and reversibility of semi-Markov processes and single-molecule enzyme kinetics , 2007 .

[2]  Yujun Zheng,et al.  Single molecule photon emission statistics for non-Markovian blinking models. , 2004, The Journal of chemical physics.

[3]  Peter G. Wolynes,et al.  Analyzing single molecule trajectories on complex energy landscapes using replica correlation functions , 1999 .

[4]  S. Weiss,et al.  Single-molecule fluorescence studies of protein folding and conformational dynamics. , 2006, Chemical reviews.

[5]  J. Beausang,et al.  DNA looping kinetics analyzed using diffusive hidden Markov model. , 2007, Biophysical journal.

[6]  R. Levy,et al.  Protein folding pathways from replica exchange simulations and a kinetic network model. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[7]  E. Rhoades,et al.  Watching proteins fold one molecule at a time , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[8]  Peter Reineker,et al.  Memory effects in single-molecule spectroscopy , 2007 .

[9]  H. Gaub,et al.  Dynamic force spectroscopy of the digoxigenin–antibody complex , 2006, FEBS letters.

[10]  A. Szabó,et al.  Theory of the statistics of kinetic transitions with application to single-molecule enzyme catalysis. , 2006, The Journal of chemical physics.

[11]  D. Talaga Information theoretical approach to single-molecule experimental design and interpretation. , 2006, The journal of physical chemistry. A.

[12]  R. Rigler,et al.  Memory landscapes of single-enzyme molecules. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[13]  Haw Yang,et al.  Information bounds and optimal analysis of dynamic single molecule measurements. , 2004, Biophysical journal.

[14]  R. Hochstrasser,et al.  Dynamics and folding of single two-stranded coiled-coil peptides studied by fluorescent energy transfer confocal microscopy. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[15]  John J. Kozak,et al.  Fluctuation assisted diffusion through ion channels , 2007 .

[16]  Muneaki Nakamura,et al.  Real-Time Observation of RecA Filament Dynamics with Single Monomer Resolution , 2006, Cell.

[17]  W. B. Caldwell,et al.  Single-molecule fluorescence spectroscopy of enzyme conformational dynamics and cleavage mechanism. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[18]  Joseph Klafter,et al.  What can one learn from two-state single-molecule trajectories? , 2005, Biophysical journal.

[19]  X. Xie,et al.  Generalized Langevin equation with fractional Gaussian noise: subdiffusion within a single protein molecule. , 2004, Physical review letters.

[20]  Frederick Sachs,et al.  Maximum likelihood estimation of molecular motor kinetics from staircase dwell-time sequences. , 2006, Biophysical journal.

[21]  Jianshu Cao,et al.  Theoretical analysis and computer simulation of fluorescence lifetime measurements. II. Contour length dependence of single polymers. , 2004, The Journal of chemical physics.

[22]  S. McKinney,et al.  Analysis of single-molecule FRET trajectories using hidden Markov modeling. , 2006, Biophysical journal.

[23]  Lawrence R. Rabiner,et al.  A tutorial on hidden Markov models and selected applications in speech recognition , 1989, Proc. IEEE.

[24]  Troy C Messina,et al.  Hidden Markov model analysis of multichromophore photobleaching. , 2006, The journal of physical chemistry. B.

[25]  B. Schuler Single-molecule fluorescence spectroscopy of protein folding. , 2005, Chemphyschem : a European journal of chemical physics and physical chemistry.

[26]  Lisa J. Lapidus,et al.  Measuring the rate of intramolecular contact formation in polypeptides. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[27]  P. Hänggi,et al.  Reaction-rate theory: fifty years after Kramers , 1990 .

[28]  X. Xie,et al.  Optical studies of single molecules at room temperature. , 1998, Annual review of physical chemistry.

[29]  Anthony K. Felts,et al.  Temperature weighted histogram analysis method, replica exchange, and transition paths. , 2005, The journal of physical chemistry. B.

[30]  Hong Qian,et al.  Generalized Haldane equation and fluctuation theorem in the steady-state cycle kinetics of single enzymes. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  X. Zhuang,et al.  A single-molecule study of RNA catalysis and folding. , 2000, Science.

[32]  Kazuhiko Seki,et al.  Theoretical model based on the memory effect for the strange photoisomerization kinetics of diarylethene derivatives dispersed on polymer films. , 2007, The Journal of chemical physics.

[33]  X. Xie,et al.  Protein Conformational Dynamics Probed by Single-Molecule Electron Transfer , 2003, Science.

[34]  R. Levy,et al.  Direct Determination of Kinetic Rates from Single-Molecule Photon Arrival Trajectories Using Hidden Markov Models. , 2003, The journal of physical chemistry. A.

[35]  Samrat Mukhopadhyay,et al.  Single-molecule biophysics: at the interface of biology, physics and chemistry , 2008, Journal of The Royal Society Interface.

[36]  Dehong Hu,et al.  Single-Molecule Study of Protein−Protein Interaction Dynamics in a Cell Signaling System , 2004 .

[37]  David R Reichman,et al.  On stochastic models of dynamic disorder. , 2006, The journal of physical chemistry. B.

[38]  X. Zhuang,et al.  Correlating Structural Dynamics and Function in Single Ribozyme Molecules , 2002, Science.

[39]  Troy C Messina,et al.  Protein free energy landscapes remodeled by ligand binding. , 2007, Biophysical journal.

[40]  Liming Ying,et al.  Fluorescence Spectroscopy, Exciton Dynamics and Photochemistry of Single Allophycocyanin Trimers , 1998 .

[41]  Jianyong Tang,et al.  Motions of single molecules and proteins in trehalose glass. , 2003, Journal of the American Chemical Society.

[42]  X. Xie,et al.  Observation of a power-law memory kernel for fluctuations within a single protein molecule. , 2005, Physical review letters.

[43]  Y. Jia,et al.  Folding dynamics of single GCN-4 peptides by fluorescence resonant energy transfer confocal microscopy , 1999 .

[44]  Peter Reineker,et al.  Mori-Zwanzig memory analysis in single-molecule spectroscopy. , 2006, The journal of physical chemistry. B.

[45]  Robin M. Hochstrasser,et al.  Single-Molecule Dynamics Associated with Protein Folding and Deformations of Light-Harvesting Complexes , 2001 .

[46]  H. Kramers Brownian motion in a field of force and the diffusion model of chemical reactions , 1940 .

[47]  Feng Qin,et al.  Restoration of single-channel currents using the segmental k-means method based on hidden Markov modeling. , 2004, Biophysical journal.

[48]  Hong Qian,et al.  Continuous time random walks in closed and open single-molecule systems with microscopic reversibility , 2006 .

[49]  B. Cherayil,et al.  Approximate first passage time distribution for barrier crossing in a double well under fractional Gaussian noise. , 2006, The Journal of chemical physics.

[50]  Frederick Sachs,et al.  Extracting dwell time sequences from processive molecular motor data. , 2006, Biophysical journal.

[51]  Norman J. Dovichi,et al.  Single-Molecule Enzymology , 2001 .

[52]  R. S. Goody,et al.  Multiparameter single-molecule fluorescence spectroscopy reveals heterogeneity of HIV-1 reverse transcriptase:primer/template complexes , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[53]  Gregory K. Schenter,et al.  Statistical Analyses and Theoretical Models of Single-Molecule Enzymatic Dynamics , 1999 .