scholarly journals Real-Time Microfluidics-Magnetic Tweezers connects conformational stiffness with energy landscape by a single experiment

2020 ◽  
Author(s):  
Soham Chakraborty ◽  
Deep Chaudhuri ◽  
Dyuti Chaudhuri ◽  
Vihan Singh ◽  
Souradeep Banerjee ◽  
...  

AbstractStudies of free energy, kinetics or elasticity are common to most disciplines of science. Detailed quantification of these properties demands number of specialized technologies. Furthermore, monitoring ‘perturbation’ in any of these properties, in presence of external stimuli (protein/DNA/drugs/nanoparticles etc.), requires multiple experiments. However, none of these available technologies can monitor these perturbations simultaneously in real time on the very same molecule in a single shot experiment.Here we present real-time microfluidics-magnetic tweezers technology with the unique advantage of tracking a single protein dynamics for hours, in absence of any significant drift, with the flexibility of changing physical environment in real time. Remarkable stability of this technique allows us to quantify five molecular properties (unfolding kinetics, refolding kinetics, conformational change, chain flexibility, and ΔG for folding/unfolding), and most importantly, their dynamic perturbation upon interacting with salt on the same protein molecule from a single experiment. We observe salt reshapes the energy landscape by two specific ways: increasing the refolding kinetics and decreasing the unfolding kinetics, which is characterized as mean first passage time. Importantly, from the same trajectory, we calculated the flexibility of the protein polymer, which changes with salt concentration and can be explained by our modified ‘electrolyte FJC model’. The correlation between ΔG, kinetics and polymer elasticity strongly argues for a stiffness driven energy landscape of proteins. Having the advantage of sub nanometer resolution, this methodology will open new exciting window to study proteins – one such examples is demonstrated in this article: electrolyte driven conformational fluctuation under force, which was not studied before.

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Ran Li ◽  
Kun Zhang ◽  
Jin Wang

Abstract We explore the thermodynamics and the underlying kinetics of the van der Waals type phase transition of Reissner-Nordström anti-de Sitter (RNAdS) black holes based on the free energy landscape. We show that the thermodynamic stabilities of the three branches of the RNAdS black holes are determined by the underlying free energy landscape topography. We suggest that the large (small) RNAdS black hole can have the probability to switch to the small (large) black hole due to the thermal fluctuation. Such a state switching process under the thermal fluctuation is taken as a stochastic process and the associated kinetics can be described by the probabilistic Fokker-Planck equation. We obtained the time dependent solutions for the probabilistic evolution by numerically solving Fokker-Planck equation with the reflecting boundary conditions. We also investigated the first passage process which describes how fast a system undergoes a stochastic process for the first time. The distributions of the first passage time switching from small (large) to large (small) black hole and the corresponding mean first passage time as well as its fluctuations at different temperatures are studied in detail. We conclude that the mean first passage time and its fluctuations are related to the free energy landscape topography through barrier heights and temperatures.


2020 ◽  
Vol 153 (13) ◽  
pp. 134115
Author(s):  
Thomas D. Swinburne ◽  
Deepti Kannan ◽  
Daniel J. Sharpe ◽  
David J. Wales

1980 ◽  
Vol 45 (3) ◽  
pp. 777-782 ◽  
Author(s):  
Milan Šolc

The establishment of chemical equilibrium in a system with a reversible first order reaction is characterized in terms of the distribution of first passage times for the state of exact chemical equilibrium. The mean first passage time of this state is a linear function of the logarithm of the total number of particles in the system. The equilibrium fluctuations of composition in the system are characterized by the distribution of the recurrence times for the state of exact chemical equilibrium. The mean recurrence time is inversely proportional to the square root of the total number of particles in the system.


Author(s):  
Natalie Packham ◽  
Lutz Schloegl ◽  
Wolfgang M. Schmidt

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