Visualization of protein folding funnels in lattice models.

Protein folding occurs in a very high dimensional phase space with an exponentially large number of states, and according to the energy landscape theory it exhibits a topology resembling a funnel. In this statistical approach, the folding mechanism is unveiled by describing the local minima in an ef...

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Main Authors: Antonio B Oliveira, Francisco M Fatore, Fernando V Paulovich, Osvaldo N Oliveira, Vitor B P Leite
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2014-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC4091862?pdf=render
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author Antonio B Oliveira
Francisco M Fatore
Fernando V Paulovich
Osvaldo N Oliveira
Vitor B P Leite
author_facet Antonio B Oliveira
Francisco M Fatore
Fernando V Paulovich
Osvaldo N Oliveira
Vitor B P Leite
author_sort Antonio B Oliveira
collection DOAJ
description Protein folding occurs in a very high dimensional phase space with an exponentially large number of states, and according to the energy landscape theory it exhibits a topology resembling a funnel. In this statistical approach, the folding mechanism is unveiled by describing the local minima in an effective one-dimensional representation. Other approaches based on potential energy landscapes address the hierarchical structure of local energy minima through disconnectivity graphs. In this paper, we introduce a metric to describe the distance between any two conformations, which also allows us to go beyond the one-dimensional representation and visualize the folding funnel in 2D and 3D. In this way it is possible to assess the folding process in detail, e.g., by identifying the connectivity between conformations and establishing the paths to reach the native state, in addition to regions where trapping may occur. Unlike the disconnectivity maps method, which is based on the kinetic connections between states, our methodology is based on structural similarities inferred from the new metric. The method was developed in a 27-mer protein lattice model, folded into a 3×3×3 cube. Five sequences were studied and distinct funnels were generated in an analysis restricted to conformations from the transition-state to the native configuration. Consistent with the expected results from the energy landscape theory, folding routes can be visualized to probe different regions of the phase space, as well as determine the difficulty in folding of the distinct sequences. Changes in the landscape due to mutations were visualized, with the comparison between wild and mutated local minima in a single map, which serves to identify different trapping regions. The extension of this approach to more realistic models and its use in combination with other approaches are discussed.
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spelling doaj.art-ff2467d47b2744359addcd6af05547ce2022-12-22T00:02:12ZengPublic Library of Science (PLoS)PLoS ONE1932-62032014-01-0197e10086110.1371/journal.pone.0100861Visualization of protein folding funnels in lattice models.Antonio B OliveiraFrancisco M FatoreFernando V PaulovichOsvaldo N OliveiraVitor B P LeiteProtein folding occurs in a very high dimensional phase space with an exponentially large number of states, and according to the energy landscape theory it exhibits a topology resembling a funnel. In this statistical approach, the folding mechanism is unveiled by describing the local minima in an effective one-dimensional representation. Other approaches based on potential energy landscapes address the hierarchical structure of local energy minima through disconnectivity graphs. In this paper, we introduce a metric to describe the distance between any two conformations, which also allows us to go beyond the one-dimensional representation and visualize the folding funnel in 2D and 3D. In this way it is possible to assess the folding process in detail, e.g., by identifying the connectivity between conformations and establishing the paths to reach the native state, in addition to regions where trapping may occur. Unlike the disconnectivity maps method, which is based on the kinetic connections between states, our methodology is based on structural similarities inferred from the new metric. The method was developed in a 27-mer protein lattice model, folded into a 3×3×3 cube. Five sequences were studied and distinct funnels were generated in an analysis restricted to conformations from the transition-state to the native configuration. Consistent with the expected results from the energy landscape theory, folding routes can be visualized to probe different regions of the phase space, as well as determine the difficulty in folding of the distinct sequences. Changes in the landscape due to mutations were visualized, with the comparison between wild and mutated local minima in a single map, which serves to identify different trapping regions. The extension of this approach to more realistic models and its use in combination with other approaches are discussed.http://europepmc.org/articles/PMC4091862?pdf=render
spellingShingle Antonio B Oliveira
Francisco M Fatore
Fernando V Paulovich
Osvaldo N Oliveira
Vitor B P Leite
Visualization of protein folding funnels in lattice models.
PLoS ONE
title Visualization of protein folding funnels in lattice models.
title_full Visualization of protein folding funnels in lattice models.
title_fullStr Visualization of protein folding funnels in lattice models.
title_full_unstemmed Visualization of protein folding funnels in lattice models.
title_short Visualization of protein folding funnels in lattice models.
title_sort visualization of protein folding funnels in lattice models
url http://europepmc.org/articles/PMC4091862?pdf=render
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AT fernandovpaulovich visualizationofproteinfoldingfunnelsinlatticemodels
AT osvaldonoliveira visualizationofproteinfoldingfunnelsinlatticemodels
AT vitorbpleite visualizationofproteinfoldingfunnelsinlatticemodels