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Kinz-Thompson CD, Ray KK, Gonzalez RL. Bayesian Inference: The Comprehensive Approach to Analyzing Single-Molecule Experiments. Annu Rev Biophys 2021; 50:191-208. [PMID: 33534607 DOI: 10.1146/annurev-biophys-082120-103921] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Abstract
Biophysics experiments performed at single-molecule resolution provide exceptional insight into the structural details and dynamic behavior of biological systems. However, extracting this information from the corresponding experimental data unequivocally requires applying a biophysical model. In this review, we discuss how to use probability theory to apply these models to single-molecule data. Many current single-molecule data analysis methods apply parts of probability theory, sometimes unknowingly, and thus miss out on the full set of benefits provided by this self-consistent framework. The full application of probability theory involves a process called Bayesian inference that fully accounts for the uncertainties inherent to single-molecule experiments. Additionally, using Bayesian inference provides a scientifically rigorous method of incorporating information from multiple experiments into a single analysis and finding the best biophysical model for an experiment without the risk of overfitting the data. These benefits make the Bayesian approach ideal for analyzing any type of single-molecule experiment.
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Affiliation(s)
- Colin D Kinz-Thompson
- Department of Chemistry, Columbia University, New York, New York 10027, USA; .,Department of Chemistry, Rutgers University-Newark, Newark, New Jersey 07102, USA
| | - Korak Kumar Ray
- Department of Chemistry, Columbia University, New York, New York 10027, USA;
| | - Ruben L Gonzalez
- Department of Chemistry, Columbia University, New York, New York 10027, USA;
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2
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Gast M, Wondany F, Raabe B, Michaelis J, Sobek H, Mizaikoff B. Use of Super-Resolution Optical Microscopy To Reveal Direct Virus Binding at Hybrid Core–Shell Matrixes. Anal Chem 2020; 92:3050-3057. [DOI: 10.1021/acs.analchem.9b04328] [Citation(s) in RCA: 19] [Impact Index Per Article: 4.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Affiliation(s)
| | | | - Bastian Raabe
- Labor Dr. Merk & Kollegen GmbH, Beim Braunland 1, 88416 Ochsenhausen, Germany
| | | | - Harald Sobek
- Labor Dr. Merk & Kollegen GmbH, Beim Braunland 1, 88416 Ochsenhausen, Germany
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Nagy J, Eilert T, Michaelis J. Precision and accuracy in smFRET based structural studies-A benchmark study of the Fast-Nano-Positioning System. J Chem Phys 2018; 148:123308. [PMID: 29604844 DOI: 10.1063/1.5006477] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022] Open
Abstract
Modern hybrid structural analysis methods have opened new possibilities to analyze and resolve flexible protein complexes where conventional crystallographic methods have reached their limits. Here, the Fast-Nano-Positioning System (Fast-NPS), a Bayesian parameter estimation-based analysis method and software, is an interesting method since it allows for the localization of unknown fluorescent dye molecules attached to macromolecular complexes based on single-molecule Förster resonance energy transfer (smFRET) measurements. However, the precision, accuracy, and reliability of structural models derived from results based on such complex calculation schemes are oftentimes difficult to evaluate. Therefore, we present two proof-of-principle benchmark studies where we use smFRET data to localize supposedly unknown positions on a DNA as well as on a protein-nucleic acid complex. Since we use complexes where structural information is available, we can compare Fast-NPS localization to the existing structural data. In particular, we compare different dye models and discuss how both accuracy and precision can be optimized.
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Affiliation(s)
- Julia Nagy
- Ulm University, Institute of Biophysics, Albert-Einstein-Allee 11, Ulm 89069, Germany
| | - Tobias Eilert
- Ulm University, Institute of Biophysics, Albert-Einstein-Allee 11, Ulm 89069, Germany
| | - Jens Michaelis
- Ulm University, Institute of Biophysics, Albert-Einstein-Allee 11, Ulm 89069, Germany
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Eilert T, Kallis E, Nagy J, Röcker C, Michaelis J. Complete Kinetic Theory of FRET. J Phys Chem B 2018; 122:11677-11694. [DOI: 10.1021/acs.jpcb.8b07719] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Affiliation(s)
- Tobias Eilert
- Institute of Biophysics, Ulm University, Albert-Einstein-Allee 11, Ulm 89081, Germany
| | - Eleni Kallis
- Institute of Biophysics, Ulm University, Albert-Einstein-Allee 11, Ulm 89081, Germany
| | - Julia Nagy
- Center for Translational Imaging (MoMAN), Ulm University, Albert-Einstein-Allee 11, Ulm 89091, Germany
| | - Carlheinz Röcker
- Institute of Biophysics, Ulm University, Albert-Einstein-Allee 11, Ulm 89081, Germany
| | - Jens Michaelis
- Institute of Biophysics, Ulm University, Albert-Einstein-Allee 11, Ulm 89081, Germany
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5
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Götz M, Wortmann P, Schmid S, Hugel T. Using Three-color Single-molecule FRET to Study the Correlation of Protein Interactions. J Vis Exp 2018. [PMID: 29443086 DOI: 10.3791/56896] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023] Open
Abstract
Single-molecule Förster resonance energy transfer (smFRET) has become a widely used biophysical technique to study the dynamics of biomolecules. For many molecular machines in a cell proteins have to act together with interaction partners in a functional cycle to fulfill their task. The extension of two-color to multi-color smFRET makes it possible to simultaneously probe more than one interaction or conformational change. This not only adds a new dimension to smFRET experiments but it also offers the unique possibility to directly study the sequence of events and to detect correlated interactions when using an immobilized sample and a total internal reflection fluorescence microscope (TIRFM). Therefore, multi-color smFRET is a versatile tool for studying biomolecular complexes in a quantitative manner and in a previously unachievable detail. Here, we demonstrate how to overcome the special challenges of multi-color smFRET experiments on proteins. We present detailed protocols for obtaining the data and for extracting kinetic information. This includes trace selection criteria, state separation, and the recovery of state trajectories from the noisy data using a 3D ensemble Hidden Markov Model (HMM). Compared to other methods, the kinetic information is not recovered from dwell time histograms but directly from the HMM. The maximum likelihood framework allows us to critically evaluate the kinetic model and to provide meaningful uncertainties for the rates. By applying our method to the heat shock protein 90 (Hsp90), we are able to disentangle the nucleotide binding and the global conformational changes of the protein. This allows us to directly observe the cooperativity between the two nucleotide binding pockets of the Hsp90 dimer.
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Affiliation(s)
- Markus Götz
- Institute of Physical Chemistry, University of Freiburg
| | | | - Sonja Schmid
- Institute of Physical Chemistry, University of Freiburg; Department of Bionanoscience, Kavli Institute of Nanoscience Delft, Delft University of Technology
| | - Thorsten Hugel
- Institute of Physical Chemistry, University of Freiburg;
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6
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Schwarz M, Schall K, Kallis E, Eustermann S, Guariento M, Moldt M, Hopfner KP, Michaelis J. Single-molecule nucleosome remodeling by INO80 and effects of histone tails. FEBS Lett 2018; 592:318-331. [PMID: 29331030 DOI: 10.1002/1873-3468.12973] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/15/2017] [Revised: 12/22/2017] [Accepted: 12/29/2017] [Indexed: 01/30/2023]
Abstract
Genome maintenance and integrity requires continuous alterations of the compaction state of the chromatin structure. Chromatin remodelers, among others the INO80 complex, help organize chromatin by repositioning, reshaping, or evicting nucleosomes. We report on INO80 nucleosome remodeling, assayed by single-molecule Foerster resonance energy transfer on canonical nucleosomes as well as nucleosomes assembled from tailless histones. Nucleosome repositioning by INO80 is a processively catalyzed reaction. During the initiation of remodeling, probed by the INO80 bound state, the nucleosome reveals structurally heterogeneous states for tailless nucleosomes (in contrast to wild-type nucleosomes). We, therefore, propose an altered energy landscape for the INO80-mediated nucleosome sliding reaction in the absence of histone tails.
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Affiliation(s)
- Marianne Schwarz
- Faculty of Natural Sciences, Institute of Biophysics, Ulm University, Germany.,Gene Center and Department of Biochemistry, Ludwig-Maximilians-University Munich, Munich, Germany
| | - Kevin Schall
- Gene Center and Department of Biochemistry, Ludwig-Maximilians-University Munich, Munich, Germany
| | - Eleni Kallis
- Faculty of Natural Sciences, Institute of Biophysics, Ulm University, Germany
| | - Sebastian Eustermann
- Gene Center and Department of Biochemistry, Ludwig-Maximilians-University Munich, Munich, Germany
| | - Mara Guariento
- Faculty of Natural Sciences, Institute of Biophysics, Ulm University, Germany
| | - Manuela Moldt
- Gene Center and Department of Biochemistry, Ludwig-Maximilians-University Munich, Munich, Germany
| | - Karl-Peter Hopfner
- Gene Center and Department of Biochemistry, Ludwig-Maximilians-University Munich, Munich, Germany
| | - Jens Michaelis
- Faculty of Natural Sciences, Institute of Biophysics, Ulm University, Germany
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Malkusch N, Dörfler T, Nagy J, Eilert T, Michaelis J. smFRET experiments of the RNA polymerase II transcription initiation complex. Methods 2017; 120:115-124. [PMID: 28434999 DOI: 10.1016/j.ymeth.2017.04.011] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/09/2017] [Revised: 03/21/2017] [Accepted: 04/14/2017] [Indexed: 01/23/2023] Open
Abstract
Single-molecule fluorescence and in particular single-molecule Förster Resonance Energy Transfer (smFRET) is a powerful tool to provide real-time information on the dynamic architecture of large macromolecular structures such as eukaryotic transcription initiation complexes. In contrast to other structural biology methods, not only structural details, but dynamics transitions are revealed thus closing in on the underlying molecular mechanisms. Here, we describe a comprehensive quantitative biophysical toolbox which can be used for rigorous analysis of dynamic protein-nucleic acid complexes and is applied to the study of eukaryotic transcription initiation. We present detailed protocols for the purification of all essential protein components of the minimal eukaryotic transcription initiation complex. Moreover, we demonstrate how elaborate strategies for site-specific protein labeling can be used to produce complexes with dye molecules attached to arbitrary desired positions. These complexes are then used for smFRET measurements. Moreover, we describe the Nano-Positioning System (NPS) which allows us to quantitatively use the results from a network of smFRET measurements to obtain structural information. With this we provide a toolbox to answer open questions which could not be addressed using methods like X-ray crystallography or cryo-electron microscopy.
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Affiliation(s)
- Nicole Malkusch
- Institute of Biophysics, Ulm University, Albert-Einstein-Allee 11, 89081 Ulm, Germany
| | - Thilo Dörfler
- Institute of Biophysics, Ulm University, Albert-Einstein-Allee 11, 89081 Ulm, Germany
| | - Julia Nagy
- Institute of Biophysics, Ulm University, Albert-Einstein-Allee 11, 89081 Ulm, Germany
| | - Tobias Eilert
- Institute of Biophysics, Ulm University, Albert-Einstein-Allee 11, 89081 Ulm, Germany
| | - Jens Michaelis
- Institute of Biophysics, Ulm University, Albert-Einstein-Allee 11, 89081 Ulm, Germany.
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Sundaramoorthy R, Hughes AL, Singh V, Wiechens N, Ryan DP, El-Mkami H, Petoukhov M, Svergun DI, Treutlein B, Quack S, Fischer M, Michaelis J, Böttcher B, Norman DG, Owen-Hughes T. Structural reorganization of the chromatin remodeling enzyme Chd1 upon engagement with nucleosomes. eLife 2017; 6. [PMID: 28332978 PMCID: PMC5391205 DOI: 10.7554/elife.22510] [Citation(s) in RCA: 43] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/09/2016] [Accepted: 03/15/2017] [Indexed: 12/11/2022] Open
Abstract
The yeast Chd1 protein acts to position nucleosomes across genomes. Here, we model the structure of the Chd1 protein in solution and when bound to nucleosomes. In the apo state, the DNA-binding domain contacts the edge of the nucleosome while in the presence of the non-hydrolyzable ATP analog, ADP-beryllium fluoride, we observe additional interactions between the ATPase domain and the adjacent DNA gyre 1.5 helical turns from the dyad axis of symmetry. Binding in this conformation involves unravelling the outer turn of nucleosomal DNA and requires substantial reorientation of the DNA-binding domain with respect to the ATPase domains. The orientation of the DNA-binding domain is mediated by sequences in the N-terminus and mutations to this part of the protein have positive and negative effects on Chd1 activity. These observations indicate that the unfavorable alignment of C-terminal DNA-binding region in solution contributes to an auto-inhibited state. DOI:http://dx.doi.org/10.7554/eLife.22510.001
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Affiliation(s)
| | - Amanda L Hughes
- Centre for Gene Regulation and Expression, School of Life Sciences, University of Dundee, Dundee, United Kingdom
| | - Vijender Singh
- Centre for Gene Regulation and Expression, School of Life Sciences, University of Dundee, Dundee, United Kingdom
| | - Nicola Wiechens
- Centre for Gene Regulation and Expression, School of Life Sciences, University of Dundee, Dundee, United Kingdom
| | - Daniel P Ryan
- Centre for Gene Regulation and Expression, School of Life Sciences, University of Dundee, Dundee, United Kingdom
| | - Hassane El-Mkami
- School of Physics and Astronomy, University of St Andrews, St Andrews, United Kingdom
| | - Maxim Petoukhov
- Hamburg Outstation, European Molecular Biology Laboratory, Hamburg, Germany
| | - Dmitri I Svergun
- Hamburg Outstation, European Molecular Biology Laboratory, Hamburg, Germany
| | - Barbara Treutlein
- Institute for Biophysics, Faculty of Natural Sciences, Ulm University, Ulm, Germany
| | - Salina Quack
- Institute for Biophysics, Faculty of Natural Sciences, Ulm University, Ulm, Germany
| | - Monika Fischer
- Institute for Biophysics, Faculty of Natural Sciences, Ulm University, Ulm, Germany
| | - Jens Michaelis
- Institute for Biophysics, Faculty of Natural Sciences, Ulm University, Ulm, Germany
| | - Bettina Böttcher
- Lehrstuhl für Biochemie, Rudolf-Virchow Zentrum, Universitat Würzburg, Würzburg, Germany
| | - David G Norman
- Nucleic Acids Structure Research Group, University of Dundee, Dundee, United Kingdom
| | - Tom Owen-Hughes
- Centre for Gene Regulation and Expression, School of Life Sciences, University of Dundee, Dundee, United Kingdom
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