Theory and evaluation of single-molecule signals / editors, Eli Barkai ... [et al.].

Format:

Book

Contributor:

Barkai, Eli.

Language:

English

Subjects (All):

Molecular spectroscopy--Congresses.

Molecular spectroscopy.

Nanoparticles--Congresses.

Nanoparticles.

Fluorescence--Congresses.

Fluorescence.

Microchemistry--Congresses.

Microchemistry.

Physical Description:

1 online resource (416 p.)

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific, c2008.

Language Note:

English

Summary:

This book reviews recently developed theoretical and numerical approaches to deal with optical and mechanical signals from individual molecules. The character of data generated by single molecules, and more generally by single nano-objects, qualitatively differs from those obtained in conventional experiments on large ensembles of molecules. Fluctuations, randomness and irreproducibility are central to single-molecule measurements, and the specific methods required to extract reliable and statistically relevant information from them are presented here. With contributions mainly from participan

Contents:

Acknowledgment; Preface; Contents; 1. Model-Free Statistical Reduction of Single-Molecule Time Series Haw Yang; 1 Introduction; 2 General theoretical background: Statistical likelihood; 2.1. Probability density, likelihood, and information; 2.2. Statistical tests; 2.3. Bayesian information criterion and maximum entropy method; 3 The transition between molecular states occurs much faster than the experimental time resolution - Intermittency; 4 Experimental time resolution is sufficient to follow the transition between molecular states; 5 Distributions; 6 Bursts; 7 Conclusion; Acknowledgments

References2. Testing Hypothesis with Single Molecules: Bayesian Approach Taras Plakhotnik; 1 Introduction to the Bayesian approach; 2 Hidden parameters; 3 Finding quasi-stationary states; 4 Finding distances between molecules; Appendix 1: Product and marginalization rules; Appendix 2: Chi-squared distribution; Appendix 3: Gaussian integrals; Appendix 4: Probability of a histogram; Appendix 5: Probability distribution for the distance to the nearest molecule; References; 3. Generating Functions for Single-Molecule Statistics Frank L. H. Brown; 1 Introduction

2 The Poisson process and introduction of generating functions3 Generating functions for photon emission: More complex kinetic models; 4 Generating functions for photon emission: Quantum treatment; 5 Quantum dynamics examples; 6 Conclusion; Acknowledgments; References; 4. Multipoint Correlation Functions for Photon Statistics in Single-Molecule Spectroscopy: Stochastic Dynamics in Liouville Space František Šanda and Shaul Mukamel; 1 Photon statistics: Factorial moments vs. correlation functions; 2 Photon statistics in weakly driven systems:Analogy with four wave mixing

3 Multipoint correlation functions for slow fluctuations3.1. Markovian dynamics; 3.2. Gaussian dynamics; 3.3. NonMarkovian dynamics: Renewal processes, continuous time random walks; 4 Summary; Acknowledgments; References; 5. Thermodynamics and Kinetics from Single-Molecule Force Spectroscopy Gerhard Hummer and Attila Szabo; 1 Introduction; 2 Thermodynamics from single-molecule pulling experiments; 2.1. Theory; 2.2. Free energy surfaces from a quasi-harmonic approximation; 2.3. Force-extension integrals; 2.4. Analysis using weighted histograms; 2.5. Crooks relation; 2.6. Alternative approaches

2.7. Practical implementation3 Kinetics from single-molecule pulling experiments; 3.1. Pulling with a constant force; 3.2. Pulling with time-dependent forces: Force-ramp experiments; 3.3. Relating constant-force and force-ramp experiments; 3.4. Effects of anharmonic molecular linkers; 3.5. Models for the rate of molecular rupture under force; 3.5.1. Bell-Evans model of molecular rupture under time-dependent force; 3.5.2. General expression for the force-dependent rate of molecular rupture within Kramers theory; 3.5.3. Microscopic models of force-induced molecular rupture rate k(F )

3.5.4. Unified theory of molecular rupture

Notes:

"Contributions mainly from participants of the 'Theory, Modeling and Evaluation of Single-Molecule Measurements' workshop held in Leiden, the Netherlands, on April 16-20, 2007."--P. [4] of cover.

Includes bibliographical references and index.

ISBN:

9789812793492

9812793496