scholarly journals Analysis of Two-State Folding Using Parabolic Approximation III: Non-Arrhenius Kinetics of FBP28 WW Part-I

2016 ◽  
Author(s):  
Robert S Sade
Keyword(s):  
Accessible Surface Area ◽  
State System ◽  
Solvent Accessible Surface Area ◽  
Dimensional Structure ◽  
3 Dimensional ◽  
Residual Structure ◽  
Activated State ◽  
State Ensemble ◽  
The Difference ◽  
Accessible Surface

A model which treats the denatured and the native conformers as being confined to harmonic Gibbs energy wells has been used to analyse the non-Arrhenius behaviour of spontaneously-folding fixed two-state systems. The results demonstrate that when pressure and solvent are constant: (i) a two-state system is physically defined only for a finite temperature range; (ii) irrespective of the primary sequence, the 3-dimensional structure of the native conformer, the residual structure in the denatured state, and the magnitude of the folding and unfolding rate constants, the equilibrium stability of a two-state system is a maximum when its denatured conformers bury the least amount of solvent accessible surface area (SASA) to reach the activated state; (iii) the Gibbs barriers to folding and unfolding are not always due to the incomplete compensation of the activation enthalpies and entropies; (iv) the difference in heat capacity between the reaction-states is due to both the size of the solvent-shell and the non-covalent interactions; (v) the position of the transition state ensemble along the reaction coordinate (RC) depends on the choice of the RC; and (vi) the atomic structure of the transiently populated reaction-states cannot be inferred from perturbation-induced changes in their energetics.

scholarly journals Analysis of Two-State Folding Using Parabolic Approximation I: Hypothesis

2016 ◽  
Author(s):  
Robert S Sade
Keyword(s):  
Gibbs Energy ◽  
Accessible Surface Area ◽  
Solvent Accessible Surface Area ◽  
Parabolic Approximation ◽  
Energy Functions ◽  
State Ensemble ◽  
The Mean ◽  
Accessible Surface ◽  
Transition State Ensemble ◽  
Solvent Accessible Surface

A model which treats the denatured and native conformers of spontaneously-folding fixed two-state systems as being confined to harmonic Gibbs energy-wells has been developed. Within the assumptions of this model the Gibbs energy functions of the denatured (DSE) and the native state (NSE) ensembles are described by parabolas, with the mean length of the reaction coordinate (RC) being given by the temperature-invariant denaturant m value. Consequently, the ensemble-averaged position of the transition state ensemble (TSE) along the RC, and the ensemble-averaged Gibbs energy of the TSE are determined by the intersection of the DSE and the NSE-parabolas. The equations derived enable equilibrium stability and the rate constants to be rationalized in terms of the mean and the variance of the Gaussian distribution of the solvent accessible surface area of the conformers in the DSE and the NSE. The implications of this model for protein folding are discussed.

scholarly journals Analysis of Two-State Folding Using Parabolic Approximation IV: Non-Arrhenius Kinetics of FBP28 WW Part-II

2016 ◽  
Author(s):  
Robert S Sade
Keyword(s):  
Gibbs Energy ◽  
Rate Constant ◽  
Accessible Surface Area ◽  
Heat Of Hydration ◽  
Solvent Accessible Surface Area ◽  
Heat Denaturation ◽  
Activation Entropy ◽  
Conformational Searching ◽  
Activated State ◽  
Accessible Surface

A model which treats the denatured and the native conformers as being confined to harmonic Gibbs energy wells has been used to rationalize the physical basis for the non-Arrhenius behaviour of spontaneously-folding fixed two-state systems. It is shown that at constant pressure and solvent conditions: (i) the rate constant for folding will be a maximum when the heat released upon formation of net molecular interactions is exactly compensated by the heat absorbed to desolvate net polar and non-polar solvent accessible surface area (SASA), as the denatured conformers driven by thermal noise bury their SASA and diffuse on the Gibbs energy surface to reach the activated state; (ii) the rate constant for unfolding will be a minimum when the heat absorbed by the native conformers to break various net backbone and sidechain interactions is exactly compensated by the heat of hydration released due to the net increase in SASA, as the native conformers unravel to reach the activated state; (iii) the activation entropy for folding will be zero, and the Gibbs barrier to folding will be a minimum, when the decrease in the backbone and the sidechain mobility is exactly compensated by the increase in entropy due to solvent-release, as the denatured conformers bury their SASA to reach the activated state; (iv) the activation entropy for unfolding will be zero, and the Gibbs barrier to unfolding will be a maximum when the increase in the backbone and sidechain mobility is exactly compensated by the negentropy of solvent-capture on the protein surface, as the native conformers unravel to reach the activated state; (v) while cold denaturation is driven by solvent effects, heat denaturation is primarily due to chain effects; (vi) the speed-limit for the folding is ultimately due to conformational searching; and(vii) Levinthal's paradox may have little basis if the entropy of solvent-release that accompanies protein folding is taken into consideration.

Application of the ESMACS Binding Free Energy Protocol to a Highly Varied Ligand Dataset: Lactate Dehydogenase A

2019 ◽  
Author(s):  
David Wright ◽  
Fouad Husseini ◽  
Shunzhou Wan ◽  
Christophe Meyer ◽  
Herman Van Vlijmen ◽  
...  
Keyword(s):  
Free Energy ◽  
Surface Area ◽  
Binding Free Energy ◽  
Normal Mode Analysis ◽  
Binding Mode ◽  
Accessible Surface Area ◽  
Solvent Accessible Surface Area ◽  
Mode Analysis ◽  
Energy Calculation ◽  
Accessible Surface

<div>Here, we evaluate the performance of our range of ensemble simulation based binding free energy calculation protocols, called ESMACS (enhanced sampling of molecular dynamics with approximation of continuum solvent) for use in fragment based drug design scenarios. ESMACS is designed to generate reproducible binding affinity predictions from the widely used molecular mechanics Poisson-Boltzmann surface area (MMPBSA) approach. We study ligands designed to target two binding pockets in the lactate dehydogenase A target protein, which vary in size, charge and binding mode. When comparing to experimental results, we obtain excellent statistical rankings across this highly diverse set of ligands. In addition, we investigate three approaches to account for entropic contributions not captured by standard MMPBSA calculations: (1) normal mode analysis, (2) weighted solvent accessible surface area (WSAS) and (3) variational entropy. </div>

scholarly journals PAMAM dendrimer: a pH-controlled nanosponge

2017 ◽  
Vol 95 (9) ◽  
pp. 991-998 ◽  
Author(s):  
Prabal K. Maiti
Keyword(s):  
Accessible Surface Area ◽  
Pamam Dendrimer ◽  
Low Ph ◽  
Dynamics Simulation ◽  
Solvent Accessible Surface Area ◽  
Water Molecules ◽  
Accessible Volume ◽  
Accessible Surface ◽  
Solvent Accessible Surface ◽  
Ph Controlled

Using fully atomistic molecular dynamics simulation that are several hundred nanoseconds long, we demonstrate the pH-controlled sponge action of PAMAM dendrimer. We show how at varying pH levels, the PAMAM dendrimer acts as a wet sponge; at neutral or low pH levels, the dendrimer expands noticeably and the interior of the dendrimer opens up to host several hundreds to thousands of water molecules depending on the generation number. Increasing the pH (i.e., going from low pH to high pH) leads to the collapse of the dendrimer size, thereby expelling the inner water, which mimics the ‘sponge’ action. As the dendrimer size swells up at a neutral pH or low pH due to the electrostatic repulsion between the primary and tertiary amines that are protonated at this pH, there is dramatic increase in the available solvent accessible surface area (SASA), as well as solvent accessible volume (SAV).

scholarly journals Mutations in RBD of SARS-CoV-2 Omicron variant result stronger binding to human ACE2 protein

2021 ◽  
Author(s):  
Cecylia Severin Lupala ◽  
Yongjin Ye ◽  
Hong Chen ◽  
Xiaodong Su ◽  
Haiguang Liu
Keyword(s):  
Complex Structure ◽  
Tight Binding ◽  
Accessible Surface Area ◽  
Solvent Accessible Surface Area ◽  
Original Strain ◽  
Receptor Binding Domain ◽  
Bonding Interaction ◽  
Accessible Surface ◽  
Dynamics Simulations ◽  
Solvent Accessible Surface

The spreading of SARS-CoV-2 virus resulted the COVID-19 pandemic, which has caused more than 5 millions of death globally. Several major variants of SARS-CoV-2 have emerged and placed challenges in controlling the infections. The recently emerged Omicron variant raised serious concerns about reducing efficacy of antibodies or vaccines, due to its vast mutations. We modelled the complex structure of human ACE2 protein and the receptor binding domain of Omicron variant, then conducted atomistic molecular dynamics simulations to study the binding interactions. The analysis shows that the Omicron variant RBD binds more strongly to the human ACE2 protein than the original strain. The mutation at the ACE2-RBD interface enhanced the tight binding by increasing hydrogen bonding interaction and enlarging buried solvent accessible surface area.

Protein intrachain contact prediction with most interacting residues (MIR)

2014 ◽  
Vol 10 (4) ◽  
Author(s):  
Ruben Acuña ◽  
Zoé Lacroix ◽  
Nikolaos Papandreou ◽  
Jacques Chomilier
Keyword(s):  
Structural Changes ◽  
Hydrophobic Interactions ◽  
Three Dimensional ◽  
Accessible Surface Area ◽  
Dimensional Structure ◽  
Closed Loops ◽  
Folding Process ◽  
Folding Nucleus ◽  
Accessible Surface ◽  
The Stability

AbstractThe transition state ensemble during the folding process of globular proteins occurs when a sufficient number of intrachain contacts are formed, mainly, but not exclusively, due to hydrophobic interactions. These contacts are related to the folding nucleus, and they contribute to the stability of the native structure, although they may disappear after the energetic barrier of transition states has been passed. A number of structure and sequence analyses, as well as protein engineering studies, have shown that the signature of the folding nucleus is surprisingly present in the native three-dimensional structure, in the form of closed loops, and also in the early folding events. These findings support the idea that the residues of the folding nucleus become buried in the very first folding events, therefore helping the formation of closed loops that act as anchor structures, speed up the process, and overcome the Levinthal paradox. We present here a review of an algorithm intended to simulate in a discrete space the early steps of the folding process. It is based on a Monte Carlo simulation where perturbations, or moves, are randomly applied to residues within a sequence. In contrast with many technically similar approaches, this model does not intend to fold the protein but to calculate the number of non-covalent neighbors of each residue, during the early steps of the folding process. Amino acids along the sequence are categorized as most interacting residues (MIRs) or least interacting residues. The MIR method can be applied under a variety of circumstances. In the cases tested thus far, MIR has successfully identified the exact residue whose mutation causes a switch in conformation. This follows with the idea that MIR identifies residues that are important in the folding process. Most MIR positions correspond to hydrophobic residues; correspondingly, MIRs have zero or very low accessible surface area. Alongside the review of the MIR method, we present a new postprocessing method called smoothed MIR (SMIR), which refines the original MIR method by exploiting the knowledge of residue hydrophobicity. We review known results and present new ones, focusing on the ability of MIR to predict structural changes, secondary structure, and the improved precision with the SMIR method.

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