Genomics Topological Data Analysis for Genomics and Evolution Topology in Biology
Raul Rabadan Columbia University, New York
and Andrew J. Blumberg University of Texas, Austin
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. Contents: Part I. Topological Data Analysis; Part II. Biological Applications. ‘The time is right to bring new approaches to the analysis of biological data. Topological data analysis reveals the structure of data. This book shows how algebraic topology opens new doors, presenting ideas and directions that make testable predictions and explore life processes.’ Arnold J. Levine, Institute for Advanced Study, New Jersey ‘This fascinating book describes how advances in mathematics, especially in fields such as topology, are transforming our understanding of biology. Rabadan, one of the founders of the field, shows us how the evolution of cancer, and of viruses and bacteria, can be deeply understood through these novel mathematical techniques. Rabadan’s capacity to create a synthesis of many threads, and lay out future challenges, makes this an intriguing and compelling read.’ Siddhartha Mukherjee, Columbia University Medical Center, New York and author of The Gene: An Intimate History and The Emperor of All Maladies: A Biography of Cancer 2019 247 x 174 mm 324pp 277 colour illus. 978-1-107-15954-9 Hardback £39.99 / US$49.99 For all formats available, see
www.cambridge.org/9781107159549
