Mathematics of evolution and phylogeny /

Other Authors: Gascuel, Olivier,
Format: Book
Language:English
Published: Oxford ; New York : Oxford University Press, 2005.
Subjects:
Online Access:http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=191256
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245 0 0 |a Mathematics of evolution and phylogeny /  |c edited by Olivier Gascuel. 
260 |a Oxford ;  |b Oxford University Press,  |c 2005.  |a New York : 
300 |a 1 online resource (xxvi, 416 pages) :  |b illustrations 
500 |a Includes index. 
504 |a Includes bibliographical references and index. 
505 0 |a 6 Hadamard conjugation: an analytic tool for phylogenetics -- 6.1 Introduction -- 6.2 Hadamard conjugation for two sequences -- 6.2.1 Hadamard matrices-a brief introduction -- 6.3 Some symmetric models of nucleotide substitution -- 6.3.1 Kimura's 3-substitution types model -- 6.3.2 Other symmetric models -- 6.4 Hadamard conjugation-Neyman model -- 6.4.1 Neyman model on three sequences -- 6.4.2 Neyman model on four sequences -- 6.4.3 Neyman model on n + 1 sequences -- 6.5 Applications: using the Neyman model -- 6.5.1 Rate variation -- 6.5.2 Invertibility -- 6.5.3 Invariants -- 6.5.4 Closest tree -- 6.5.5 Maximum parsimony -- 6.5.6 Parsimony inconsistency, Felsenstein's example -- 6.5.7 Parsimony inconsistency, molecular clock -- 6.5.8 Maximum likelihood under the Neyman model -- 6.6 Kimura's 3-substitution types model -- 6.6.1 One edge -- 6.6.2 K3ST for n + 1 sequences.; 6.7 Other applications and perspectives -- 7 Phylogenetic networks -- 7.1 Introduction -- 7.2 Median networks -- 7.3 Visual complexity of median networks -- 7.4 Consensus networks -- 7.5 Treelikeness -- 7.6 Deriving phylogenetic networks from distances -- 7.7 Neighbour-net -- 7.8 Discussion -- Acknowledgements -- 8 Reconstructing the duplication history of tandemly repeated sequences -- 8.1 Introduction -- 8.2 Repeated sequences and duplication model -- 8.2.1 Di.erent categories of repeated sequences -- 8.2.2 Biological model and assumptions -- 8.2.3 Duplication events, duplication histories, and duplication trees -- 8.2.4 The human T-cell receptor Gamma genes -- 8.2.5 Other data sets, applicability of the model -- 8.3 Mathematical model and properties -- 8.3.1 Notation -- 8.3.2 Root position -- 8.3.3 Recursive de.nition of rooted and unrooted duplication trees -- 8.3.4 From phylogenies with ordered leaves to duplication trees.; 8.3.5 Topñdown approach and leftñright properties of rooted duplication trees -- 8.3.6 Counting duplication histories -- 8.3.7 Counting simple event duplication trees -- 8.3.8 Counting (unrestricted) duplication trees -- 8.4 Inferring duplication trees from sequence data -- 8.4.1 Preamble -- 8.4.2 Computational hardness of duplication tree inference -- 8.4.3 Distance-based inference of simple event duplication trees -- 8.4.4 A simple parsimony heuristic to infer unrestricted duplication trees -- 8.4.5 Simple distance-based heuristic to infer unrestricted duplication trees -- 8.5 Simulation comparison and prospects -- Acknowledgements -- 9 Conserved segment statistics and rearrangement inferences in comparative genomics -- 9.1 Introduction -- 9.2 Genetic (recombinational) distance -- 9.3 Gene counts -- 9.4 The inference problem -- 9.5 What can we infer from conserved segments? -- 9.6 Rearrangement algorithms -- 9.7 Loss of signal -- 9.8 From gene order to genomic sequence.; 9.8.1 The Pevzner-Tesler approach -- 9.8.2 The re-use statistic r -- 9.8.3 Simulating rearrangement inference with a block-size threshold -- 9.8.4 A model for breakpoint re-use -- 9.8.5 A measure of noise? -- 9.9 Between the blocks -- 9.9.1 Fragments -- 9.10 Conclusions -- Acknowledgements -- 10 The inversion distance problem -- 10.1 Introduction and biological background -- 10.2 De.nitions and examples -- 10.3 Anatomy of a signed permutation -- 10.3.1 Elementary intervals and cycles -- 10.3.2 E.ects of an inversion on elementary intervals and cycles -- 10.3.3 Components -- 10.3.4 Effects of an inversion on components -- 10.4 The HannenhalliñPevzner duality theorem -- 10.4.1 Sorting oriented components -- 10.4.2 Computing the inversion distance -- 10.5 Algorithms -- 10.6 Conclusion -- Glossary -- 11 Genome rearrangements with gene families -- 11.1 Introduction -- 11.2 The formal representation of the genome -- 11.3 Genome rearrangement -- 11.4 Multigene families.; 11.5 Algorithms and models -- 11.5.1 Exemplar distance -- 11.5.2 Phylogenetic analysis -- 11.6 Genome duplication -- 11.6.1 Formalizing the problem -- 11.6.2 Methodology -- 11.6.3 Analysing the yeast genome -- 11.6.4 An application on a circular genome -- 11.7 Duplication of chromosomal segments -- 11.7.1 Formalizing the problem -- 11.7.2 Recovering an ancestor of a semi-ambiguous genome -- 11.7.3 Recovering an ancestor of an ambiguous genome -- 11.7.4 Recovering the ancestral nodes of a species tree -- 11.8 Conclusion. 
650 0 |a Evolution (Biology)  |x Mathematics. 
650 0 |a Phylogeny  |x Mathematics. 
650 4 |a Evolution (Biology) 
650 6 |a Évolution (Biologie)  |x Mathématiques. 
650 6 |a Phylogenèse  |x Mathématiques. 
650 7 |a SCIENCE  |x Life Sciences 
700 1 |a Gascuel, Olivier,  |x Biological Diversity. 
856 4 0 |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=191256 
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