Topological Data Analysis for Genomics and Evolution: Topology in Biology

Raul / Blumberg Rabadan

Parution le 30/08/2019

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Résumé

Algebraic topology is particularly suited for the analysis of high dimensional large data sets, including those in modern biology. The book introduces geometric and topological methods, including statistics, as well as applications to biology - including cancer genetics, single cell studies and reconstructing evolutionary relationships from genomic data.Biology has entered the age of Big Data. The 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 questions to a comparison of algebraic invariants, such as numbers, which are typically easier to solve. 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 alongside mathematicians interested in applied topology.Introduction; Part I. Topological Data Analysis: 1. Basic notions of algebraic topology; 2. Topological data analysis; 3. Statistics and topological inference; 4. Manifold learning and metric geometry; Part II. Biological Applications: 5. Evolution, trees, and beyond; 6. Cancer genomics; 7. Single cell expression data; 8. Three dimensional structure of DNA; 9. Topological data analysis beyond genomics; 10. Conclusions.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Raul / Blumberg Rabadan
Parution	30/08/2019
EAN13	9781107159549

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Topological Data Analysis for Genomics and Evolution: Topology in Biology

Résumé

Caractéristiques techniques

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