Geometry Dynamics of α-Helices in Different Class I Major Histocompatibility Complexes

MHC α-helices form the antigen-binding cleft and are of particular interest for immunological reactions. To monitor these helices in molecular dynamics simulations, we applied a parsimonious fragment-fitting method to trace the axes of the α-helices. Each resulting axis was fitted by polynomials in...

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Main Authors: Reiner Ribarics, Michael Kenn, Rudolf Karch, Nevena Ilieva, Wolfgang Schreiner
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Immunology Research
Online Access:http://dx.doi.org/10.1155/2015/173593
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author Reiner Ribarics
Michael Kenn
Rudolf Karch
Nevena Ilieva
Wolfgang Schreiner
author_facet Reiner Ribarics
Michael Kenn
Rudolf Karch
Nevena Ilieva
Wolfgang Schreiner
author_sort Reiner Ribarics
collection DOAJ
description MHC α-helices form the antigen-binding cleft and are of particular interest for immunological reactions. To monitor these helices in molecular dynamics simulations, we applied a parsimonious fragment-fitting method to trace the axes of the α-helices. Each resulting axis was fitted by polynomials in a least-squares sense and the curvature integral was computed. To find the appropriate polynomial degree, the method was tested on two artificially modelled helices, one performing a bending movement and another a hinge movement. We found that second-order polynomials retrieve predefined parameters of helical motion with minimal relative error. From MD simulations we selected those parts of α-helices that were stable and also close to the TCR/MHC interface. We monitored the curvature integral, generated a ruled surface between the two MHC α-helices, and computed interhelical area and surface torsion, as they changed over time. We found that MHC α-helices undergo rapid but small changes in conformation. The curvature integral of helices proved to be a sensitive measure, which was closely related to changes in shape over time as confirmed by RMSD analysis. We speculate that small changes in the conformation of individual MHC α-helices are part of the intrinsic dynamics induced by engagement with the TCR.
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series Journal of Immunology Research
spelling doaj-art-8aa547bc6b3d4ba2ba36b3b12fd045792025-02-03T01:08:59ZengWileyJournal of Immunology Research2314-88612314-71562015-01-01201510.1155/2015/173593173593Geometry Dynamics of α-Helices in Different Class I Major Histocompatibility ComplexesReiner Ribarics0Michael Kenn1Rudolf Karch2Nevena Ilieva3Wolfgang Schreiner4Section of Biosimulation and Bioinformatics, Center for Medical Statistics, Informatics and Intelligent Systems (CeMSIIS), Medical University of Vienna, Spitalgasse 23, 1090 Vienna, AustriaSection of Biosimulation and Bioinformatics, Center for Medical Statistics, Informatics and Intelligent Systems (CeMSIIS), Medical University of Vienna, Spitalgasse 23, 1090 Vienna, AustriaSection of Biosimulation and Bioinformatics, Center for Medical Statistics, Informatics and Intelligent Systems (CeMSIIS), Medical University of Vienna, Spitalgasse 23, 1090 Vienna, AustriaInstitute of Information and Communication Technologies (IICT), Bulgarian Academy of Sciences, Acad. G. Bonchev Street, Block 25A, 1113 Sofia, BulgariaSection of Biosimulation and Bioinformatics, Center for Medical Statistics, Informatics and Intelligent Systems (CeMSIIS), Medical University of Vienna, Spitalgasse 23, 1090 Vienna, AustriaMHC α-helices form the antigen-binding cleft and are of particular interest for immunological reactions. To monitor these helices in molecular dynamics simulations, we applied a parsimonious fragment-fitting method to trace the axes of the α-helices. Each resulting axis was fitted by polynomials in a least-squares sense and the curvature integral was computed. To find the appropriate polynomial degree, the method was tested on two artificially modelled helices, one performing a bending movement and another a hinge movement. We found that second-order polynomials retrieve predefined parameters of helical motion with minimal relative error. From MD simulations we selected those parts of α-helices that were stable and also close to the TCR/MHC interface. We monitored the curvature integral, generated a ruled surface between the two MHC α-helices, and computed interhelical area and surface torsion, as they changed over time. We found that MHC α-helices undergo rapid but small changes in conformation. The curvature integral of helices proved to be a sensitive measure, which was closely related to changes in shape over time as confirmed by RMSD analysis. We speculate that small changes in the conformation of individual MHC α-helices are part of the intrinsic dynamics induced by engagement with the TCR.http://dx.doi.org/10.1155/2015/173593
spellingShingle Reiner Ribarics
Michael Kenn
Rudolf Karch
Nevena Ilieva
Wolfgang Schreiner
Geometry Dynamics of α-Helices in Different Class I Major Histocompatibility Complexes
Journal of Immunology Research
title Geometry Dynamics of α-Helices in Different Class I Major Histocompatibility Complexes
title_full Geometry Dynamics of α-Helices in Different Class I Major Histocompatibility Complexes
title_fullStr Geometry Dynamics of α-Helices in Different Class I Major Histocompatibility Complexes
title_full_unstemmed Geometry Dynamics of α-Helices in Different Class I Major Histocompatibility Complexes
title_short Geometry Dynamics of α-Helices in Different Class I Major Histocompatibility Complexes
title_sort geometry dynamics of α helices in different class i major histocompatibility complexes
url http://dx.doi.org/10.1155/2015/173593
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AT nevenailieva geometrydynamicsofahelicesindifferentclassimajorhistocompatibilitycomplexes
AT wolfgangschreiner geometrydynamicsofahelicesindifferentclassimajorhistocompatibilitycomplexes