Description
Topological Data Analysis for Genomics and Evolution
Topology in Biology
Authors: Rabadan Raul, Blumberg Andrew J.
An introduction to geometric and topological methods to analyze large scale biological data; includes statistics and genomic applications.
Language: EnglishSubject for Topological Data Analysis for Genomics and Evolution:
Approximative price 54.78 €
In Print (Delivery period: 14 days).
Add to cart the book of Rabadan Raul, Blumberg Andrew J.
Publication date: 12-2019
324 p. · 17.8x25.2 cm · Hardback
324 p. · 17.8x25.2 cm · Hardback
Description
/li>Contents
/li>
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.
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.
© 2024 LAVOISIER S.A.S.