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Efficient algorithm for RNA pseudoknotted secondary structure prediction given a pseudoknot free structure Zhao, Yinglei
Abstract
Pseudoknotted secondary structure prediction of nucleic acid molecules is an important problem in computational molecular biology. In this thesis, we introduce a Pseudoknot-Add algorithm for the problem of Predicting Pseudoknot Additions. In this problem, one is given as input a sequence S and pseudoknot free structure G, and the goal is to find the minimum free energy pseudoknotted structure R for S, that contains G. The Pseudoknot-Add algorithm has an overall time complexity of 0(n3), and a space complexity of 0(n3). We call the class of structures that our algorithm can predict density-2 structures. The density-2 structures include kissing hairpin structures, which occur in nature. Every density-2 structure R is a bi-secondary structure, i.e., can be partitioned into two pseudoknot free secondary structures G and G'. Our algorithm can handle pseudoknotted loops with an arbitrary number of bands.Other (9(n5) algorithms of Akutsu [12] and Dirks and Pierce [8] can not handle more than three bands and two bands respectively. The 0(n5) algorithm of Uemura et al. [13] can not handle density-2 structures with more than 3 bands either. With respect to given structure G, our algorithm finds the MFE density-2 structure R containing G. The structure R is not necessarily the MFE density-2 structure of the sequence 5, since G is given.
Item Metadata
Title |
Efficient algorithm for RNA pseudoknotted secondary structure prediction given a pseudoknot free structure
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2005
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Description |
Pseudoknotted secondary structure prediction of nucleic acid molecules is an
important problem in computational molecular biology. In this thesis, we introduce
a Pseudoknot-Add algorithm for the problem of Predicting Pseudoknot Additions.
In this problem, one is given as input a sequence S and pseudoknot free structure
G, and the goal is to find the minimum free energy pseudoknotted structure R for
S, that contains G. The Pseudoknot-Add algorithm has an overall time complexity
of 0(n3), and a space complexity of 0(n3).
We call the class of structures that our algorithm can predict density-2 structures.
The density-2 structures include kissing hairpin structures, which occur in
nature. Every density-2 structure R is a bi-secondary structure, i.e., can be partitioned
into two pseudoknot free secondary structures G and G'.
Our algorithm can handle pseudoknotted loops with an arbitrary number
of bands.Other (9(n5) algorithms of Akutsu [12] and Dirks and Pierce [8] can not
handle more than three bands and two bands respectively. The 0(n5) algorithm
of Uemura et al. [13] can not handle density-2 structures with more than 3 bands
either.
With respect to given structure G, our algorithm finds the MFE density-2
structure R containing G. The structure R is not necessarily the MFE density-2
structure of the sequence 5, since G is given.
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Genre | |
Type | |
Language |
eng
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Date Available |
2009-12-22
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0051636
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2005-11
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.