An optimization approach to multiple sequence alignment
The problem of multiple sequence alignment is recast as an optimization problem using Markov decision theory. One seeks to minimize the expected or average cost of alignment subject to data-derived constraints. In this setting, the problem is equivalent to a linear program which can be solved effici...
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Published in | Applied mathematics letters Vol. 16; no. 5; pp. 785 - 790 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Oxford
Elsevier Ltd
01.07.2003
Elsevier |
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ISSN | 0893-9659 1873-5452 |
DOI | 10.1016/S0893-9659(03)00083-1 |
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Abstract | The problem of multiple sequence alignment is recast as an optimization problem using Markov decision theory. One seeks to minimize the expected or average cost of alignment subject to data-derived constraints. In this setting, the problem is equivalent to a linear program which can be solved efficiently using modern interior-point methods. We present numerical results from an implementation of the algorithm for protein sequence alignment |
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AbstractList | The problem of multiple sequence alignment is recast as an optimization problem using Markov decision theory. One seeks to minimize the expected or average cost of alignment subject to data-derived constraints. In this setting, the problem is equivalent to a linear program which can be solved efficiently using modern interior-point methods. We present numerical results from an implementation of the algorithm for protein sequence alignment |
Author | Kearsley, A.J. Wan, Honghui Hunt, F.Y. |
Author_xml | – sequence: 1 givenname: F.Y. surname: Hunt fullname: Hunt, F.Y. – sequence: 2 givenname: A.J. surname: Kearsley fullname: Kearsley, A.J. – sequence: 3 givenname: Honghui surname: Wan fullname: Wan, Honghui organization: National Center for Genome Research National Institutes of Health Bethesda, MD 20894, U.S.A |
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Cites_doi | 10.1089/cmb.1998.5.173 10.1287/ijoc.4.3.267 10.1016/0022-2836(70)90057-4 |
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Keywords | Linear programming Sequencing Alignment Markov decision Applied mathematics DNA Sequence alignment Optimization method Interior point method Algorithm |
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References | Czyzyk, Mehrotra, Wright (BIB10) May 1996 Waterman (BIB5) 1995 Bixby (BIB11) 1992; 4 Korostensky, Gonnet (BIB1) 1998 Altman (BIB6) 1999 Chvátal (BIB9) 1983 Needleman, Wunsch (BIB3) 1970; 48 Durbin, Eddy, Krogh, Mitchison (BIB4) 1998 Ross (BIB7) 1970 Wright (BIB8) 1997 F. Hunt, A.J. Kearsley and A. O'Gallagher, Software for optimization-based multiple sequence alignment, Technical Report, Mathematical and Computational Science Division, National Institute of Standards and Technology, Gaithersburg, MD. Apostolico, Giancarlo (BIB2) 1998; 5 Wright (10.1016/S0893-9659(03)00083-1_BIB8) 1997 Czyzyk (10.1016/S0893-9659(03)00083-1_BIB10) 1996 Durbin (10.1016/S0893-9659(03)00083-1_BIB4) 1998 Chvátal (10.1016/S0893-9659(03)00083-1_BIB9) 1983 Bixby (10.1016/S0893-9659(03)00083-1_BIB11) 1992; 4 Needleman (10.1016/S0893-9659(03)00083-1_BIB3) 1970; 48 Apostolico (10.1016/S0893-9659(03)00083-1_BIB2) 1998; 5 Waterman (10.1016/S0893-9659(03)00083-1_BIB5) 1995 Altman (10.1016/S0893-9659(03)00083-1_BIB6) 1999 10.1016/S0893-9659(03)00083-1_BIB12 Korostensky (10.1016/S0893-9659(03)00083-1_BIB1) 1998 Ross (10.1016/S0893-9659(03)00083-1_BIB7) 1970 |
References_xml | – year: 1998 ident: BIB4 article-title: Biological Sequence Analysis: Probabilistic Models of Proteins and Nucleic Acids – volume: 5 start-page: 173 year: 1998 end-page: 196 ident: BIB2 article-title: Sequence alignment in molecular biology publication-title: J. Comput. Biol. – year: 1998 ident: BIB1 article-title: Gap Heuristics and Tree Construction Using Gaps – year: 1999 ident: BIB6 article-title: Constrained Markov Decision Processes – year: 1970 ident: BIB7 article-title: Applied Probability Models with Optimization Applications – year: 1983 ident: BIB9 article-title: Linear Programming – volume: 4 start-page: 267 year: 1992 end-page: 284 ident: BIB11 article-title: Implementing the simplex method: The initial basis publication-title: ORSA Journal on Computing – volume: 48 start-page: 443 year: 1970 end-page: 453 ident: BIB3 article-title: A general method applicable to the search for similarities in the amino acid sequence of two proteins publication-title: J. Mol. Bio. – year: 1997 ident: BIB8 article-title: Primal Dual Interior Point Methods – year: May 1996 ident: BIB10 publication-title: PCx User Guide, Technical Report OTC 96/01 – reference: F. Hunt, A.J. Kearsley and A. O'Gallagher, Software for optimization-based multiple sequence alignment, Technical Report, Mathematical and Computational Science Division, National Institute of Standards and Technology, Gaithersburg, MD. – year: 1995 ident: BIB5 article-title: Introduction to Computational Biology – ident: 10.1016/S0893-9659(03)00083-1_BIB12 – year: 1996 ident: 10.1016/S0893-9659(03)00083-1_BIB10 – year: 1997 ident: 10.1016/S0893-9659(03)00083-1_BIB8 – year: 1995 ident: 10.1016/S0893-9659(03)00083-1_BIB5 – year: 1999 ident: 10.1016/S0893-9659(03)00083-1_BIB6 – year: 1983 ident: 10.1016/S0893-9659(03)00083-1_BIB9 – year: 1998 ident: 10.1016/S0893-9659(03)00083-1_BIB1 – volume: 5 start-page: 173 issue: 2 year: 1998 ident: 10.1016/S0893-9659(03)00083-1_BIB2 article-title: Sequence alignment in molecular biology publication-title: J. Comput. Biol. doi: 10.1089/cmb.1998.5.173 – year: 1998 ident: 10.1016/S0893-9659(03)00083-1_BIB4 – year: 1970 ident: 10.1016/S0893-9659(03)00083-1_BIB7 – volume: 4 start-page: 267 year: 1992 ident: 10.1016/S0893-9659(03)00083-1_BIB11 article-title: Implementing the simplex method: The initial basis publication-title: ORSA Journal on Computing doi: 10.1287/ijoc.4.3.267 – volume: 48 start-page: 443 year: 1970 ident: 10.1016/S0893-9659(03)00083-1_BIB3 article-title: A general method applicable to the search for similarities in the amino acid sequence of two proteins publication-title: J. Mol. Bio. doi: 10.1016/0022-2836(70)90057-4 |
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SubjectTerms | Alignment Applied sciences Biological and medical sciences Calculus of variations and optimal control Exact sciences and technology Fundamental and applied biological sciences. Psychology General aspects Linear programming Markov processes Mathematical analysis Mathematical programming Mathematics Mathematics in biology. Statistical analysis. Models. Metrology. Data processing in biology (general aspects) Operational research and scientific management Operational research. Management science Probability and statistics Probability theory and stochastic processes Sciences and techniques of general use Sequencing |
Title | An optimization approach to multiple sequence alignment |
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