ArticleProceedings of the National Academy of Sciences of the United States of America2015
Theory for rates, equilibrium constants, and Brønsted slopes in F1-ATPase single molecule imaging experiments.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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17 citing papers in PubMed, 27 citations in OpenAlex.
- Nucleotide Exchange Mechanism Involving Angle-Dependent Rate Constants Extracted from F1-ATPase Single-Molecule Rotation Trajectories.The journal of physical chemistry. B · 2026Article
- On the distance to the transition state of protein folding in optical tweezers experiments.Biophysical reviews · 2025Review
- Protein Dynamics and Enzymatic Catalysis.The journal of physical chemistry. B · 2023Review
- Angle-dependent rotation velocity consistent with ADP release in bacterial FFrontiers in molecular biosciences · 2023Article
- FFrontiers in microbiology · 2022Review
- Rotary catalysis of bovine mitochondrial FProceedings of the National Academy of Sciences of the United States of America · 2020Article
- Method to extract multiple states in FProceedings of the National Academy of Sciences of the United States of America · 2019Article
- Insights into the origin of the high energy-conversion efficiency of FProceedings of the National Academy of Sciences of the United States of America · 2019Article
- Elastic coupling power stroke mechanism of the FProceedings of the National Academy of Sciences of the United States of America · 2018Article
- Theory of long binding events in single-molecule-controlled rotation experiments on FProceedings of the National Academy of Sciences of the United States of America · 2017Article
- Theory of single-molecule controlled rotation experiments, predictions, tests, and comparison with stalling experiments in F1-ATPase.Proceedings of the National Academy of Sciences of the United States of America · 2016Article
- Biophysical comparison of ATP synthesis mechanisms shows a kinetic advantage for the rotary process.Proceedings of the National Academy of Sciences of the United States of America · 2016Article
- Inseparable tandem: evolution chooses ATP and Ca2+ to control life, death and cellular signalling.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2016Review
- F1-ATPase conformational cycle from simultaneous single-molecule FRET and rotation measurements.Proceedings of the National Academy of Sciences of the United States of America · 2016Article
- Thermodynamics and kinetics of the FoF1-ATPase: application of the probability isotherm.Royal Society open science · 2016Article
- A Microscopic Capacitor Model of Voltage Coupling in Membrane Proteins: Gating Charge Fluctuations in Ci-VSD.The journal of physical chemistry. B · 2016Article
- Brønsted slopes based on single-molecule imaging data help to unveil the chemically coupled rotation in F1-ATPase.Proceedings of the National Academy of Sciences of the United States of America · 2015Article
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2 authors at 1 institution in 1 country.
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No grant is acknowledged in the PubMed record.
Abstract
A theoretical model of elastically coupled reactions is proposed for single molecule imaging and rotor manipulation experiments on F1-ATPase. Stalling experiments are considered in which rates of individual ligand binding, ligand release, and chemical reaction steps have an exponential dependence on rotor angle. These data are treated in terms of the effect of thermodynamic driving forces on reaction rates, and lead to equations relating rate constants and free energies to the stalling angle. These relations, in turn, are modeled using a formalism originally developed to treat electron and other transfer reactions. During stalling the free energy profile of the enzymatic steps is altered by a work term due to elastic structural twisting. Using biochemical and single molecule data, the dependence of the rate constant and equilibrium constant on the stall angle, as well as the Børnsted slope are predicted and compared with experiment. Reasonable agreement is found with stalling experiments for ATP and GTP binding. The model can be applied to other torque-generating steps of reversible ligand binding, such as ADP and Pi release, when sufficient data become available.
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