Topological Complexity in Protein Structures
For DNA molecules, topological complexity occurs exclusively as the result of knotting or linking of the polynucleotide backbone. By contrast, while a few knots and links have been found within the polypeptide backbones of some protein structures, non-planarity can also result from the connectivity...
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ndltd-CLAREMONT-oai-scholarship.claremont.edu-pomona_theses-11212014-07-16T03:33:48Z Topological Complexity in Protein Structures Heller, Gabriella For DNA molecules, topological complexity occurs exclusively as the result of knotting or linking of the polynucleotide backbone. By contrast, while a few knots and links have been found within the polypeptide backbones of some protein structures, non-planarity can also result from the connectivity between a polypeptide chain and attached metal structures. In this thesis, we survey the known types of knots, links, and non-planar graphs in protein structures with and without including such bonds between proteins and metals. Then we present new examples of protein structures containing M\"obius ladders and other non-planar graphs as a result of these bound metal atoms. Finally, we propose hypothetical structures illustrating specific disulfide connectivities that would result in the key ring link, the Whitehead link and the 5_1 knot, the latter two of which have thus far not been identified within protein structures. 2014-01-01T08:00:00Z text application/pdf http://scholarship.claremont.edu/pomona_theses/118 http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1121&context=pomona_theses © 2014 Gabriella Heller Pomona Senior Theses Scholarship @ Claremont knot theory proteins topology non-planar graphs Other Applied Mathematics Other Physical Sciences and Mathematics |
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knot theory proteins topology non-planar graphs Other Applied Mathematics Other Physical Sciences and Mathematics |
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knot theory proteins topology non-planar graphs Other Applied Mathematics Other Physical Sciences and Mathematics Heller, Gabriella Topological Complexity in Protein Structures |
description |
For DNA molecules, topological complexity occurs exclusively as the result of knotting or linking of the polynucleotide backbone. By contrast, while a few knots and links have been found within the polypeptide backbones of some protein structures, non-planarity can also result from the connectivity between a polypeptide chain and attached metal structures. In this thesis, we survey the known types of knots, links, and non-planar graphs in protein structures with and without including such bonds between proteins and metals. Then we present new examples of protein structures containing M\"obius ladders and other non-planar graphs as a result of these bound metal atoms. Finally, we propose hypothetical structures illustrating specific disulfide connectivities that would result in the key ring link, the Whitehead link and the 5_1 knot, the latter two of which have thus far not been identified within protein structures. |
author |
Heller, Gabriella |
author_facet |
Heller, Gabriella |
author_sort |
Heller, Gabriella |
title |
Topological Complexity in Protein Structures |
title_short |
Topological Complexity in Protein Structures |
title_full |
Topological Complexity in Protein Structures |
title_fullStr |
Topological Complexity in Protein Structures |
title_full_unstemmed |
Topological Complexity in Protein Structures |
title_sort |
topological complexity in protein structures |
publisher |
Scholarship @ Claremont |
publishDate |
2014 |
url |
http://scholarship.claremont.edu/pomona_theses/118 http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1121&context=pomona_theses |
work_keys_str_mv |
AT hellergabriella topologicalcomplexityinproteinstructures |
_version_ |
1716708084280197120 |