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Suggested Citation:"REFERENCES." National Research Council. 1995. Calculating the Secrets of Life: Contributions of the Mathematical Sciences to Molecular Biology. Washington, DC: The National Academies Press. doi: 10.17226/2121.
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Page 88
Suggested Citation:"REFERENCES." National Research Council. 1995. Calculating the Secrets of Life: Contributions of the Mathematical Sciences to Molecular Biology. Washington, DC: The National Academies Press. doi: 10.17226/2121.
×
Page 89

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SEEING CONSERVED SIGNALS: USING ALGORITHMS TO DETECT SIMILARITIES BETWEEN BIOSEQUENCES 88 REFERENCES Altschul, S.F., and B.W. Erikson, 1986, "Locally optimal subalignments using nonlinear similarity functions," Bull. Math. Biol. 48(5/6), 633-660. Altschul, S.F., W. Gish, W. Miller, E.W. Myers, and D.J. Lipman, 1990, "A basic local alignment search tool," Journal of Molecular Biology 215, 403-410. Arbarbanel, RM., P.R. Wieneke, E. Mansfield, D.A. Jaffe, and D.L. Brutlag, 1984, "Rapid searches for complex patterns in biological molecules," Nucleic Acids Research 12(1), 263-280. Barker, W.C., D. George, H.-W. Mewes, F. Pfeiffer, and A. Tsugita, 1993, "The PIRInternational database," Nucleic Acids Research 21(13), 3089-3092. Benson, D., D.J. Lipman, and J. Ostell, 1993, "GenBank," Nucleic Acids Research 21(13), 2963-2965. Chao, K.-M., and W. Miller, 1994, "Linear-space algorithms that build local alignments from fragments," Algorithmica, in press. Dayhoff, M.O., W.C. Barker, and L.T. Hunt, 1983, "Establishing homologies in protein sequences," Methods in Enzymology 91, 524-545. Eppstein, D., Z. Galil, and R. Giancarlo, 1989, "Speeding up dynamic programming," Theoretical Computer Science 64, 107-118. Feng, D.F., and R.F. Doolittle, 1987, "Progressive sequence alignment as a prerequisite to correct phylogenetic trees," Journal of Molecular Evolution 25, 351-360. Fox, B., 1973, "Calculating the Kth shortest paths," INFOR J (Can. J. Oper. Res. Inf Process.) 11, 66-70. Garey, M.R., and D.S. Johnson, 1979, Computers and Intractability: A Guide to the Theory of NP-Complete Problems, New York: W.H. Freeman Press. Gotoh, O., 1982, "An improved algorithm for matching biological sequences," Journal of Molecular Biology 162, 705-708. Horowitz, E., and S. Sahni, 1978, pp. 198-247 in Fundamentals of Computer Algorithms, New York: Computer Science Press. Kannan, S.K., and E.W. Myers, 1993, "An algorithm for locating nonoverlapping regions of maximum alignment score," Proceedings of the 4th Combinatorial Pattern Matching Conference, Springer-Verlag Lecture Notes in Computer Science 684, 74-86. Landau, G.M., and J.P. Schmidt, 1993, "An algorithm for approximate tandem repeats," Proceedings of the 4th Combinatorial Pattern Matching Conference, Springer-Verlag Lecture Notes in Computer Science 684, 120-133. Lathrop, RH., T.A. Webster, and T.F. Smith, 1987, "ARIADNE: A flexible framework for protein structure recognition," Commun. ACM 30, 909-921. Lipman, D.J., and W.R. Pearson, 1985, "Rapid and sensitive protein similarity searches," Science 227, 1435-1441. Masek, W.J., and M.S. Paterson, 1980, "A faster algorithm for computing string-edit distances," Journal of Computing Systems Science 20(1), 18-31. Mehldau, G., and E.W. Myers, 1993, "A system for pattern matching applications on biosequences," CABIOS 9, 3, 299-314.

SEEING CONSERVED SIGNALS: USING ALGORITHMS TO DETECT SIMILARITIES BETWEEN BIOSEQUENCES 89 Miller, W., and E.W. Myers, 1988, "Sequence comparison with concave weighting functions," Bull. Math. Biology 50(2), 97-120. Miller, W., J. Ostell, and K.E. Rudd, 1990, "An algorithm for searching restriction maps," CABIOS 6, 247-252. Myers, E.W., 1994a, "Approximately Matching Context Free Languages," TR94-22, Department of Computer Science, University of Arizona, Tucson, Ariz. Myers, E.W., 1994b, "A sublinear algorithm for approximate keywork searching," Algorithmica 12(4), 345-374. Myers, E.W., and W. Miller, 1988, "Optimal alignments in linear space," CABIOS 4(1), 11-17. Myers, E.W., and W. Miller, 1989, "Approximate matching of regular expressions," Bull. Math. Biol. 51(1), 5-37. Sankoff, D., 1975, "Minimal mutation trees of sequences," SIAM Journal of Applied Mathematics 28(1), 35-42. Smith, T.F., and M.S. Waterman, 1981, "Identification of common molecular sequences," Journal of Molecular Biology 147, 195-197. Smith, T.F., and W.S. Fitch, 1983, "Optimal sequence alignments," Proceedings of the National Academy of Sciences USA 80, 1382-1386. Waterman, M.S., and M. Eggert, 1987, "A new algorithm for best subsequence alignments with application to tRNA-rRNA comparisons," Journal of Molecular Biology 197, 723728. Waterman, M.S., M. Eggert, and E. Lander, 1992, "Parametric sequence comparisons," Proceedings of the National Academy of Sciences USA 89, 6090-6093. Waterman, M.S., T.F. Smith, and W.A. Beyer, 1976, "Some biological sequence metrics," Advances in Mathematics 20, 367-387. Zhang, K., and D. Shasha, 1989, "Simple fast algorithms for the editing distance between trees and related problems," SIAM Journal on Computing 18, 1245-1262.

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As researchers have pursued biology's secrets to the molecular level, mathematical and computer sciences have played an increasingly important role—in genome mapping, population genetics, and even the controversial search for "Eve," hypothetical mother of the human race.

In this first-ever survey of the partnership between the two fields, leading experts look at how mathematical research and methods have made possible important discoveries in biology.

The volume explores how differential geometry, topology, and differential mechanics have allowed researchers to "wind" and "unwind" DNA's double helix to understand the phenomenon of supercoiling. It explains how mathematical tools are revealing the workings of enzymes and proteins. And it describes how mathematicians are detecting echoes from the origin of life by applying stochastic and statistical theory to the study of DNA sequences.

This informative and motivational book will be of interest to researchers, research administrators, and educators and students in mathematics, computer sciences, and biology.

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