Book Topological Data Analysis for Genomics and Evolution Topology in Biology pdf


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Book Topological Data Analysis for Genomics and Evolution Topology in Biology pdf

Book Topological Data Analysis for Genomics and Evolution Topology in Biology pdf

Pages 522

By Raul Rabadan, Andrew J. Blumberg

Publisher: Cambridge University Press, Year: 2020

ISBN: 9781107159549

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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.

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