scholarly journals Theory for rates, equilibrium constants, and Brønsted slopes in F1-ATPase single molecule imaging experiments

2015 ◽  
Vol 112 (46) ◽  
pp. 14230-14235 ◽  
Author(s):  
Sándor Volkán-Kacsó ◽  
Rudolph A. Marcus

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.

2017 ◽  
Vol 31 (17) ◽  
pp. 1730002
Author(s):  
S. Volkán-Kacsó

The recent experimental, theoretical and computational advances in the field of F1-ATPase single-molecule microscopy are briefly surveyed. The role of theory is revealed in the statistical analysis, interpretation and prediction of single-molecule experimental trajectories, and in linking them with atomistic simulations. In particular, a theoretical model of elastically coupled molecular group transfer is reviewed and a detailed method for its application in stalling and controlled rotation experiments is provided. It is shown how the model can predict, using previous experiments, the rates of ligand binding/release processes (steps) and their exponential dependence on rotor angle in these experiments. The concept of Brønsted slopes is reviewed in the context of the single-molecule experiments, and the rate versus rotor angle relations are explained using the elastic model. These experimental data are treated in terms of the effect of thermodynamic driving forces on the rates assuming that the rotor shaft is elastically coupled to stator ring subunits in which the steps occur. In the application of the group transfer model on an extended angular range processes leading up to the transfer are discussed. Implications for large-scale atomistic simulation are suggested for the treatment of torque-generating steps.


NanoImpact ◽  
2017 ◽  
Vol 6 ◽  
pp. 90-98 ◽  
Author(s):  
Navid B. Saleh ◽  
Dipesh Das ◽  
Jaime Plazas-Tuttle ◽  
Darwin Yang ◽  
Jackson Travis Del Bonis-O'Donnell ◽  
...  

2018 ◽  
Author(s):  
Adrien Marchand ◽  
Frédéric Rosu ◽  
Renato Zenobi ◽  
Valérie Gabelica

ABSTRACTAs the idea that G-quadruplex nucleic acid structures are involved in cellular processes is gaining support, it becomes important to develop ligands that specifically target G-quadruplexes. However, ligand design is complicated because there are multiple G-quadruplex target sequences, some sequences are polymorphic, and very few ligand-quadruplex structures in solution were solved to date. Further, structure alone does not reveal the driving forces for ligand binding. To know why a ligand binds, the thermodynamics of binding must be characterized. Electrospray mass spectrometry makes it possible to detect and quantify each specific stoichiometry in terms of number of strands, number of specific cations, and number of ligands, and thus allows one to simultaneously determine the equilibrium constants for the formation of each complex. We designed and built a temperature-controlled nano-electrospray source to monitor thermal denaturation by mass spectrometry (“MS-melting”). We studied the thermal denaturation of G-quadruplexes, including the c-myc promoter and several telomeric sequence variants, and their complexes with popular ligands (Phen-DC3, TrisQ, TMPyP4, Cu-ttpy). From the temperature dependence of the equilibrium constants, we determined the enthalpic and entropic contributions to the formation of each stoichiometric state. In absence of ligand, we untangled the potassium-induced G-quadruplex folding thermodynamics, one potassium ion at a time. The formation of each quartet-K+-quartet units is strongly enthalpy driven, with entropy penalty. In contrast, the formation of quartet-K+-triplet units is entropically driven. For this reason, such misfolded structures can become more abundant as the temperature increases. In the presence of ligands, mass spectrometry also revealed new states at intermediate temperatures. For example, even in cases where only a 1:1 (ligand:quadruplex) is observed at room temperature, a 2:1 complex predominates at intermediate temperatures. Mass spectrometry also makes it easy to distinguish ligand bound to the 2-quartet structures (containing 1 K+), the 3-quartet structures (containing 2 K+) and to the unfolded strand (no specific K+). We confirm that TrisQ binds preferably, but not exclusively, to 3-quartet structures, Phen-DC3 binds to a 2-quartet structure, while the porphyrin ligand TMPyP4 is characterized as non-selective, because it binds to all forms including the unfolded one. The thermodynamics of ligand binding to each form, one ligand at a time, provides unprecedented detail on the interplay between ligand binding and changes in G-quadruplex topology.TOC Graphics


2020 ◽  
Author(s):  
Nikolas Hundt

Abstract Single-molecule imaging has mostly been restricted to the use of fluorescence labelling as a contrast mechanism due to its superior ability to visualise molecules of interest on top of an overwhelming background of other molecules. Recently, interferometric scattering (iSCAT) microscopy has demonstrated the detection and imaging of single biomolecules based on light scattering without the need for fluorescent labels. Significant improvements in measurement sensitivity combined with a dependence of scattering signal on object size have led to the development of mass photometry, a technique that measures the mass of individual molecules and thereby determines mass distributions of biomolecule samples in solution. The experimental simplicity of mass photometry makes it a powerful tool to analyse biomolecular equilibria quantitatively with low sample consumption within minutes. When used for label-free imaging of reconstituted or cellular systems, the strict size-dependence of the iSCAT signal enables quantitative measurements of processes at size scales reaching from single-molecule observations during complex assembly up to mesoscopic dynamics of cellular components and extracellular protrusions. In this review, I would like to introduce the principles of this emerging imaging technology and discuss examples that show how mass-sensitive iSCAT can be used as a strong complement to other routine techniques in biochemistry.


2019 ◽  
Author(s):  
Adam Eördögh ◽  
Carolina Paganini ◽  
Dorothea Pinotsi ◽  
Paolo Arosio ◽  
Pablo Rivera-Fuentes

<div>Photoactivatable dyes enable single-molecule imaging in biology. Despite progress in the development of new fluorophores and labeling strategies, many cellular compartments remain difficult to image beyond the limit of diffraction in living cells. For example, lipid droplets, which are organelles that contain mostly neutral lipids, have eluded single-molecule imaging. To visualize these challenging subcellular targets, it is necessary to develop new fluorescent molecular devices beyond simple on/off switches. Here, we report a fluorogenic molecular logic gate that can be used to image single molecules associated with lipid droplets with excellent specificity. This probe requires the subsequent action of light, a lipophilic environment and a competent nucleophile to produce a fluorescent product. The combination of these requirements results in a probe that can be used to image the boundary of lipid droplets in three dimensions with resolutions beyond the limit of diffraction. Moreover, this probe enables single-molecule tracking of lipids within and between droplets in living cells.</div>


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