Analytic markovian rates for generalized protein structure evolution.

A general understanding of the complex phenomenon of protein evolution requires the accurate description of the constraints that define the sub-space of proteins with mutations that do not appreciably reduce the fitness of the organism. Such constraints can have multiple origins, in this work we pre...

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Main Authors: Ivan Coluzza, James T MacDonald, Michael I Sadowski, William R Taylor, Richard A Goldstein
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2012-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC3367531?pdf=render
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author Ivan Coluzza
James T MacDonald
Michael I Sadowski
William R Taylor
Richard A Goldstein
author_facet Ivan Coluzza
James T MacDonald
Michael I Sadowski
William R Taylor
Richard A Goldstein
author_sort Ivan Coluzza
collection DOAJ
description A general understanding of the complex phenomenon of protein evolution requires the accurate description of the constraints that define the sub-space of proteins with mutations that do not appreciably reduce the fitness of the organism. Such constraints can have multiple origins, in this work we present a model for constrained evolutionary trajectories represented by a markovian process throughout a set of protein-like structures artificially constructed to be topological intermediates between the structure of two natural occurring proteins. The number and type of intermediate steps defines how constrained the total evolutionary process is. By using a coarse-grained representation for the protein structures, we derive an analytic formulation of the transition rates between each of the intermediate structures. The results indicate that compact structures with a high number of hydrogen bonds are more probable and have a higher likelihood to arise during evolution. Knowledge of the transition rates allows for the study of complex evolutionary pathways represented by trajectories through a set of intermediate structures.
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spelling doaj.art-578e1daafbae4d8aad11bbe51451c7b62022-12-21T20:07:50ZengPublic Library of Science (PLoS)PLoS ONE1932-62032012-01-0175e3422810.1371/journal.pone.0034228Analytic markovian rates for generalized protein structure evolution.Ivan ColuzzaJames T MacDonaldMichael I SadowskiWilliam R TaylorRichard A GoldsteinA general understanding of the complex phenomenon of protein evolution requires the accurate description of the constraints that define the sub-space of proteins with mutations that do not appreciably reduce the fitness of the organism. Such constraints can have multiple origins, in this work we present a model for constrained evolutionary trajectories represented by a markovian process throughout a set of protein-like structures artificially constructed to be topological intermediates between the structure of two natural occurring proteins. The number and type of intermediate steps defines how constrained the total evolutionary process is. By using a coarse-grained representation for the protein structures, we derive an analytic formulation of the transition rates between each of the intermediate structures. The results indicate that compact structures with a high number of hydrogen bonds are more probable and have a higher likelihood to arise during evolution. Knowledge of the transition rates allows for the study of complex evolutionary pathways represented by trajectories through a set of intermediate structures.http://europepmc.org/articles/PMC3367531?pdf=render
spellingShingle Ivan Coluzza
James T MacDonald
Michael I Sadowski
William R Taylor
Richard A Goldstein
Analytic markovian rates for generalized protein structure evolution.
PLoS ONE
title Analytic markovian rates for generalized protein structure evolution.
title_full Analytic markovian rates for generalized protein structure evolution.
title_fullStr Analytic markovian rates for generalized protein structure evolution.
title_full_unstemmed Analytic markovian rates for generalized protein structure evolution.
title_short Analytic markovian rates for generalized protein structure evolution.
title_sort analytic markovian rates for generalized protein structure evolution
url http://europepmc.org/articles/PMC3367531?pdf=render
work_keys_str_mv AT ivancoluzza analyticmarkovianratesforgeneralizedproteinstructureevolution
AT jamestmacdonald analyticmarkovianratesforgeneralizedproteinstructureevolution
AT michaelisadowski analyticmarkovianratesforgeneralizedproteinstructureevolution
AT williamrtaylor analyticmarkovianratesforgeneralizedproteinstructureevolution
AT richardagoldstein analyticmarkovianratesforgeneralizedproteinstructureevolution