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Author: Raul Rabadan
Publisher: Cambridge University Press
ISBN: 1108757499
Category : Science
Languages : en
Pages : 522
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Book Description
Biology has entered the age of Big Data. A technical revolution has transformed the field, and extracting meaningful information from large biological data sets is now a central methodological challenge. Algebraic topology is a well-established branch of pure mathematics that studies qualitative descriptors of the shape of geometric objects. It aims to reduce comparisons of shape to a comparison of algebraic invariants, such as numbers, which are typically easier to work with. Topological data analysis is a rapidly developing subfield that leverages the tools of algebraic topology to provide robust multiscale analysis of data sets. This book introduces the central ideas and techniques of topological data analysis and its specific applications to biology, including the evolution of viruses, bacteria and humans, genomics of cancer, and single cell characterization of developmental processes. Bridging two disciplines, the book is for researchers and graduate students in genomics and evolutionary biology as well as mathematicians interested in applied topology.
Author: Raul Rabadan
Publisher: Cambridge University Press
ISBN: 1108757499
Category : Science
Languages : en
Pages : 522
Get Book
Book Description
Biology has entered the age of Big Data. A technical revolution has transformed the field, and extracting meaningful information from large biological data sets is now a central methodological challenge. Algebraic topology is a well-established branch of pure mathematics that studies qualitative descriptors of the shape of geometric objects. It aims to reduce comparisons of shape to a comparison of algebraic invariants, such as numbers, which are typically easier to work with. Topological data analysis is a rapidly developing subfield that leverages the tools of algebraic topology to provide robust multiscale analysis of data sets. This book introduces the central ideas and techniques of topological data analysis and its specific applications to biology, including the evolution of viruses, bacteria and humans, genomics of cancer, and single cell characterization of developmental processes. Bridging two disciplines, the book is for researchers and graduate students in genomics and evolutionary biology as well as mathematicians interested in applied topology.
Author: Raul Rabadan
Publisher: Cambridge University Press
ISBN: 1107159547
Category : Science
Languages : en
Pages : 521
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Book Description
An introduction to geometric and topological methods to analyze large scale biological data; includes statistics and genomic applications.
Author: Tamal Krishna Dey
Publisher: Cambridge University Press
ISBN: 1009103199
Category : Mathematics
Languages : en
Pages : 456
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Book Description
Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies and applicability. Providing a computational and algorithmic foundation for techniques in TDA, this comprehensive, self-contained text introduces students and researchers in mathematics and computer science to the current state of the field. The book features a description of mathematical objects and constructs behind recent advances, the algorithms involved, computational considerations, as well as examples of topological structures or ideas that can be used in applications. It provides a thorough treatment of persistent homology together with various extensions – like zigzag persistence and multiparameter persistence – and their applications to different types of data, like point clouds, triangulations, or graph data. Other important topics covered include discrete Morse theory, the Mapper structure, optimal generating cycles, as well as recent advances in embedding TDA within machine learning frameworks.
Author: Gunnar Carlsson
Publisher: Cambridge University Press
ISBN: 1108838650
Category : Computers
Languages : en
Pages : 233
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Book Description
This timely text introduces topological data analysis from scratch, with detailed case studies.
Author: Austin L. Hughes
Publisher: Oxford University Press, USA
ISBN: 9780195116267
Category : Science
Languages : en
Pages : 286
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Book Description
It will be an invaluable tool for anyone interested or working in molecular or evolutionary biology, and for those studying the implications of our rapidly increasing knowledge of the genomes of organisms."--BOOK JACKET.
Author: Steven G. Krantz
Publisher: CRC Press
ISBN: 1420089757
Category : Mathematics
Languages : en
Pages : 422
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Book Description
Brings Readers Up to Speed in This Important and Rapidly Growing AreaSupported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological
Author: Xun Gu
Publisher: OUP Oxford
ISBN: 0199213267
Category : Science
Languages : en
Pages : 272
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Book Description
Summarises the statistical framework of evolutionary genomics, and illustrates how statistical modelling and testing can enhance our understanding of functional genomic evolution.
Author: Michael S. Waterman
Publisher: CRC Press
ISBN: 1351437089
Category : Mathematics
Languages : en
Pages : 248
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Book Description
Biology is in the midst of a era yielding many significant discoveries and promising many more. Unique to this era is the exponential growth in the size of information-packed databases. Inspired by a pressing need to analyze that data, Introduction to Computational Biology explores a new area of expertise that emerged from this fertile field- the combination of biological and information sciences. This introduction describes the mathematical structure of biological data, especially from sequences and chromosomes. After a brief survey of molecular biology, it studies restriction maps of DNA, rough landmark maps of the underlying sequences, and clones and clone maps. It examines problems associated with reading DNA sequences and comparing sequences to finding common patterns. The author then considers that statistics of pattern counts in sequences, RNA secondary structure, and the inference of evolutionary history of related sequences. Introduction to Computational Biology exposes the reader to the fascinating structure of biological data and explains how to treat related combinatorial and statistical problems. Written to describe mathematical formulation and development, this book helps set the stage for even more, truly interdisciplinary work in biology.
Author: Richard M. Elliott
Publisher: Springer Science & Business Media
ISBN: 1489913645
Category : Medical
Languages : en
Pages : 351
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Book Description
In this comprehensive reference, leading researchers examine the biology, molecular biology, and diseases of the Bunyaviridae, and provide up-to-date information on the genetic characterization and variations of this virus group. Chapters deal with the molecular biology of five genera: Bunyavirus, Hantavirus, Nairovirus, Phlebovirus, and Tospovirus. Chapters examine Bunyaviridae assembly and intracelluar protein transport as well as Bunyaviridae genetics. Contributors discuss the Bunyaviridae diseases, including the hantavirus pulmonary syndrome.
Author: Joachim Ohser
Publisher: John Wiley & Sons
ISBN: 0471974862
Category : Mathematics
Languages : en
Pages : 420
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Book Description
The investigation of the origin and formation of microstructures and the effect that microstructure has on the properties of materials are important issues in materials science and technology. Geometrical analysis is often the key to understanding the formation of microstructures and the resulting material properties. The authors make use of mathematical morphology, spatial statistics, image processing, stereology and stochastic geometry to analyze microstructures arising in materials science. * Quantitative microstructure analysis is one of the most successful experimental techniques in materials science * Uses examples to demonstrate the techniques * Program code included enables the reader to apply the numerous algorithms * Accessible to material scientists with limited statistical knowledge Primarily aimed at applied materials scientists, the book will also appeal to those working and researching in earth sciences, material technology, mineralogy, petrography, image analysis, cytology and biology.
