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Bioinformatics Algorithms: Techniques and Applications

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REFERENCES 25<br />

the flexible structure alignment FATCAT. Similar to the partial order sequence alignment,<br />

POSA identifies structural regions that are conserved only in a subset of input<br />

structures <strong>and</strong> allows internal rearrangements in protein structures. POSA shows its<br />

advantages in cases in which structural flexibilities exist <strong>and</strong> provides new insights by<br />

visualizing the mosaic nature of multiple structural alignments. POSA adopts a progressive<br />

strategy to build a multiple structure alignment given a set of input structures<br />

in the order provided by a guide tree. So each step involves a pairwise alignment of<br />

two partial order alignments (or single structures), using the same formulation of AFP<br />

chaining for structure alignment as described above, but in a high dimensional space<br />

(see Fig. 2.6d).<br />

2.5 SUMMARY<br />

As one of the most commonly used algorithms in bioinformatics, dynamic<br />

programming has been applied to many research topics. Its recent applications have<br />

shifted from the classical topics as the comparison of linear sequences to the analysis<br />

of nonlinear representations of biomolecules. It should be stressed that although<br />

dynamic programming is guaranteed to report an optimal solution, this solution may<br />

not be biologically the meaningful one. The biological solution depends not only<br />

on the algorithm, but also on how correctly the formulation of the computational<br />

problem reflects the reality of the biological systems.<br />

REFERENCES<br />

1. Akutsu T. Dynamic programming algorithm for RNA secondary structure prediction with<br />

pseudoknots. Disc Appl Math 2000;104:45.<br />

2. Altschul SF, Gish W, Miller W, Myers EW, Lipman DJ. Basic local alignment search tool.<br />

J Mol Biol 1990;215:3.<br />

3. Altschul SF, Madden TL, Schoffer AA, et al., Gapped BLAST <strong>and</strong> PSI BLAST: a new<br />

generation of protein database search programs. Nucleic Acids Res 1997;25:3389.<br />

4. Aurora R, Rose GD. Seeking an ancient enzyme in Methanococcus jannaschii using ORF,<br />

a program based on predicted secondary structure comparisons. Proc Natl Acad Sci USA<br />

1998;95:2818.<br />

5. Bafna V, Muthukrishnan S, Ravi R. Computing similarity between RNA strings. Proceeding<br />

of the 6th Annual Symposium on Combinatorial Pattern Matching (CPM’95); LNCS<br />

937 1995.p1.<br />

6. Bafna V, Tang H, Zhang S. Consensus folding of unaligned RNA sequences revisited. J<br />

Comp Biol 2006;13:2.<br />

7. Baker D, Sali A. Protein structure prediction <strong>and</strong> structural genomics. Science<br />

2001;294:93.<br />

8. Batzoglou S. The many faces of sequence alignment. Brief Bioinfo 2005;6:6.<br />

9. Bellman R. Eye of the Hurrican. Singapore: World Scientific Publishing Company; 1984.<br />

10. Bray N, Dubchak I, Pachter L. AVID: a global alignment program. Genome Res<br />

2003;13:97.

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