Bioconsensus
Bioconsensus

Author: DIMACS (Group)

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 256

ISBN-13: 0821831976

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In the rapidly developing field of bioconsensus, consensus methods from the social and behavioral sciences are used when choosing among alternative solutions to problems in the biological sciences. This text for mathematical and evolutionary biologists and computer scientists contains 16 contributions on various topics in bioconsensus. Included are papers originally presented at meetings held in 2000 and 2001 at the DIMACS Center as well as some from experts who did not attend the meetings. These papers provide historical background, discuss the axiomatic foundations of the field of bioconsensus, and apply consensus methods to real data. The volume is not indexed. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com).

Advances In Interdisciplinary Applied Discrete Mathematics
Advances In Interdisciplinary Applied Discrete Mathematics

Author: Hemanshu Kaul

Publisher: World Scientific

Published: 2010-12-09

Total Pages: 273

ISBN-13: 9814465461

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In the past 50 years, discrete mathematics has developed as a far-reaching and popular language for modeling fundamental problems in computer science, biology, sociology, operations research, economics, engineering, etc. The same model may appear in different guises, or a variety of models may have enough similarities such that same ideas and techniques can be applied in diverse applications.This book focuses on fields such as consensus and voting theory, clustering, location theory, mathematical biology, and optimization that have seen an upsurge of new and exciting works over the past two decades using discrete models in modern applications. Featuring survey articles written by experts in these fields, the articles emphasize the interconnectedness of the mathematical models and techniques used in various areas, and elucidate the possibilities for future interdisciplinary research. Additionally, this book discusses recent advances in the fields, highlighting the approach of cross-fertilization of ideas across disciplines.

Handbook of Computational Molecular Biology
Handbook of Computational Molecular Biology

Author: Srinivas Aluru

Publisher: CRC Press

Published: 2005-12-21

Total Pages: 1108

ISBN-13: 1420036270

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The enormous complexity of biological systems at the molecular level must be answered with powerful computational methods. Computational biology is a young field, but has seen rapid growth and advancement over the past few decades. Surveying the progress made in this multidisciplinary field, the Handbook of Computational Molecular Biology of

Phylogenetic Supertrees
Phylogenetic Supertrees

Author: O. R. P. Bininda-Emonds

Publisher: Springer Science & Business Media

Published: 2004-08-25

Total Pages: 572

ISBN-13: 9781402023286

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This is the first book on "phylogenetic supertrees", a recent, but controversial development for inferring evolutionary trees. Rather than analyze the combined primary character data directly, supertree construction proceeds by combining the tree topologies derived from those data. This difference in strategy has allowed for the exciting possibility of larger, more complete phylogenies than are otherwise currently possible, with the potential to revolutionize evolutionarily-based research. This book provides a comprehensive look at supertrees, ranging from the methods used to build supertrees to the significance of supertrees to bioinformatic and biological research. Reviews of many the major supertree methods are provided and four new techniques, including a Bayesian implementation of supertrees, are described for the first time. The far-reaching impact of supertrees on biological research is highlighted both in general terms and through specific examples from diverse clades such as flowering plants, even-toed ungulates, and primates. The book also critically examines the many outstanding challenges and problem areas for this relatively new field, showing the way for supertree construction in the age of genomics. Interdisciplinary contributions from the majority of the leading authorities on supertree construction in all areas of the bioinformatic community (biology, computer sciences, and mathematics) will ensure that this book is a valuable reference with wide appeal to anyone interested in phylogenetic inference.

Bioinformatics and Phylogenetics
Bioinformatics and Phylogenetics

Author: Tandy Warnow

Publisher: Springer

Published: 2019-04-08

Total Pages: 426

ISBN-13: 3030108376

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This volume presents a compelling collection of state-of-the-art work in algorithmic computational biology, honoring the legacy of Professor Bernard M.E. Moret in this field. Reflecting the wide-ranging influences of Prof. Moret’s research, the coverage encompasses such areas as phylogenetic tree and network estimation, genome rearrangements, cancer phylogeny, species trees, divide-and-conquer strategies, and integer linear programming. Each self-contained chapter provides an introduction to a cutting-edge problem of particular computational and mathematical interest. Topics and features: addresses the challenges in developing accurate and efficient software for the NP-hard maximum likelihood phylogeny estimation problem; describes the inference of species trees, covering strategies to scale phylogeny estimation methods to large datasets, and the construction of taxonomic supertrees; discusses the inference of ultrametric distances from additive distance matrices, and the inference of ancestral genomes under genome rearrangement events; reviews different techniques for inferring evolutionary histories in cancer, from the use of chromosomal rearrangements to tumor phylogenetics approaches; examines problems in phylogenetic networks, including questions relating to discrete mathematics, and issues of statistical estimation; highlights how evolution can provide a framework within which to understand comparative and functional genomics; provides an introduction to Integer Linear Programming and its use in computational biology, including its use for solving the Traveling Salesman Problem. Offering an invaluable source of insights for computer scientists, applied mathematicians, and statisticians, this illuminating volume will also prove useful for graduate courses on computational biology and bioinformatics.

Bioterrorism
Bioterrorism

Author: H. T. Banks

Publisher: SIAM

Published: 2003-01-01

Total Pages: 250

ISBN-13: 9780898717518

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Bioterrorism: Mathematical Modeling Applications in Homeland Security collects the detailed contributions of selected groups of experts from the fields of biostatistics, control theory, epidemiology, and mathematical biology who have engaged in the development of frameworks, models, and mathematical methods needed to address some of the pressing challenges posed by acts of terror. The ten chapters of this volume touch on a large range of issues in the subfields of biosurveillance, agroterrorism, bioterror response logistics, deliberate release of biological agents, impact assessment, and the spread of fanatic behaviors.

Phylogeny
Phylogeny

Author: Mike Steel

Publisher: SIAM

Published: 2016-09-29

Total Pages: 302

ISBN-13: 161197447X

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Phylogenetics is a topical and growing area of research. Phylogenies (phylogenetic trees and networks) allow biologists to study and graph evolutionary relationships between different species. These are also used to investigate other evolutionary processes?for example, how languages developed or how different strains of a virus (such as HIV or influenza) are related to each other. This self-contained book addresses the underlying mathematical theory behind the reconstruction and analysis of phylogenies. The theory is grounded in classical concepts from discrete mathematics and probability theory as well as techniques from other branches of mathematics (algebra, topology, differential equations). The biological relevance of the results is highlighted throughout. The author supplies proofs of key classical theorems and includes results not covered in existing books, emphasizes relevant mathematical results derived over the past 20 years, and provides numerous exercises, examples, and figures.

Applied Combinatorics, Third Edition
Applied Combinatorics, Third Edition

Author: Fred S. Roberts

Publisher: CRC Press

Published: 2024-06-03

Total Pages: 757

ISBN-13: 1040120296

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The third edition of this popular text presents the tools of combinatorics for a first undergraduate course. After introducing fundamental counting rules, tools of graph theory and relations, the focus is on three basic problems of combinatorics: counting, existence, and optimization problems.