Adaptive Query Refinement Based on Global and Local Analysis

Author(s):  
Chaoyuan Cui ◽  
Hanxiong Chen ◽  
Kazutaka Furuse ◽  
Nobuo Ohbo
2021 ◽  
Author(s):  
Ghoncheh Mashayekhi ◽  
John Vant ◽  
Abhishek Singharoy ◽  
Abbas Ourmazd

Cryo-electron microscopy (cryo-EM) has produced a number of structural models of the SARS-CoV-2 spike, already prompting biomedical outcomes. However, these reported models and their associated electrostatic potential maps represent an unknown admixture of conformations stemming from the underlying energy landscape of the spike protein. As for any protein, some of the spike's conformational motions are expected to be biophysically relevant, but cannot be interpreted only by static models. Using experimental cryo-EM images, we present the energy landscape of the spike protein conformations, and identify molecular rearrangements along the most-likely conformational path in the vicinity of the open (so called 1RBD-up) state. The resulting global and local atomic refinements reveal larger movements than those expected by comparing the reported 1RBD-up and 1RBD-down cryo-EM models. Here we report greater degrees of "openness" in global conformations of the 1RBD-up state, not revealed in the single-model interpretations of the density maps, together with conformations that overlap with the reported models. We discover how the glycan shield contributes to the stability of these conformations along the minimum free-energy pathway. A local analysis of seven key binding pockets reveals that six out them, including those for engaging ACE2, therapeutic mini-proteins, linoleic acid, two different kinds of antibodies, and protein-glycan interaction sites, switch conformations between their known apo- and holo-conformations, even when the global spike conformation is 1RBD-up. This is reminiscent of a conformational pre-equilibrium. We found only one binding pocket, namely antibody AB-C135 to remain closed along the entire minimum free energy path, suggesting an induced fit mechanism for this enzyme.


2020 ◽  
Vol 76 (10) ◽  
pp. 926-937
Author(s):  
Rafiga C. Masmaliyeva ◽  
Kave H. Babai ◽  
Garib N. Murshudov

This paper describes the global and local analysis of atomic displacement parameters (ADPs) of macromolecules in X-ray crystallography. The distribution of ADPs is shown to follow the shifted inverse-gamma distribution or a mixture of these distributions. The mixture parameters are estimated using the expectation–maximization algorithm. In addition, a method for the resolution- and individual ADP-dependent local analysis of neighbouring atoms has been designed. This method facilitates the detection of mismodelled atoms, heavy-metal atoms and disordered and/or incorrectly modelled ligands. Both global and local analyses can be used to detect errors in atomic models, thus helping in the (re)building, refinement and validation of macromolecular structures. This method can also serve as an additional validation tool during PDB deposition.


Mathematics ◽  
2021 ◽  
Vol 9 (23) ◽  
pp. 3119
Author(s):  
Sameh Askar ◽  
Abdulaziz Foul ◽  
Tarek Mahrous ◽  
Saleh Djemele ◽  
Emad Ibrahim

In this paper, a Cournot game with two competing firms is studied. The two competing firms seek the optimality of their quantities by maximizing two different objective functions. The first firm wants to maximize an average of social welfare and profit, while the second firm wants to maximize their relative profit only. We assume that both firms are rational, adopting a bounded rationality mechanism for updating their production outputs. A two-dimensional discrete time map is introduced to analyze the evolution of the game. The map has four equilibrium points and their stability conditions are investigated. We prove the Nash equilibrium point can be destabilized through flip bifurcation only. The obtained results show that the manifold of the game’s map can be analyzed through a one-dimensional map whose analytical form is similar to the well-known logistic map. The critical curves investigations show that the phase plane of game’s map is divided into three zones and, therefore, the map is not invertible. Finally, the contact bifurcation phenomena are discussed using simulation.


1998 ◽  
Author(s):  
K F Stone ◽  
◽  
R Kumar ◽  
N Pegg ◽  
D Heath ◽  
...  

Perception ◽  
10.1068/p5271 ◽  
2005 ◽  
Vol 34 (5) ◽  
pp. 577-585 ◽  
Author(s):  
Christos D Giachritsis ◽  
Mike G Harris

Previous work (Harris and Giachritsis 2000, Vision Research40 601–611) has shown that, when global and local image expansion are placed in conflict, estimates of time-to-contact (TTC) are based almost exclusively upon global expansion. Here we extend this finding by demonstrating that global image expansion continues to predominate even under conditions that seem more favourable to a local analysis. We added a global rotation to the stimulus so that the global pattern of expansion was distorted while leaving the local expansion unaffected. Even under relatively high rotation rates (30° s−1), local expansion continued to have little systematic effect upon estimates of TTC.


2014 ◽  
Author(s):  
Pavel A. Akimov ◽  
Alexandr M. Belostoskiy ◽  
Vladimir N. Sidorov ◽  
Marina L. Mozgaleva ◽  
Oleg A. Negrozov

2000 ◽  
Vol 104 (24) ◽  
pp. 5882-5887 ◽  
Author(s):  
Patricia Pérez ◽  
Alejandro Toro-Labbé ◽  
Renato Contreras

Sign in / Sign up

Export Citation Format

Share Document