Reconstructing Evolution — New Mathematical and Computational Advances

Evolution is a complex process, acting at multiple scales, from DNA sequences and proteins to populations of species. Understanding and reconstructing evolution is of major importance in numerous subfields of biology. For example, phylogenetics and sequence evolution is central to comparative genomics, attempts to decipher genomes, and molecular epidemiology. Phylogenetics is also the focal point of large-scale international biodiversity assessment initiatives such as the 'Tree of Life' project, which aims to build the evolutionary tree for all extant species.

Since the pioneering work in phylogenetics in the 1960s, models have become increasingly sophisticated to account for the inherent complexity of evolution. They rely heavily on mathematics and aim at modelling and analyzing biological phenomena such as horizontal gene transfer, heterogeneity of mutation, and speciation and extinction processes. This book presents these recent models, their biological relevance, their mathematical basis, their properties, and the algorithms to infer them from data. A number of subfields from mathematics and computer science are involved: combinatorics, graph theory, stringology, probabilistic and Markov models, information theory, statistical inference, Monte Carlo methods, continuous and discrete algorithmics.
This book arises from the Mathematics of Evolution & Phylogenetics meeting at the Mathematical Institute Henri Poincari??, Paris, in June 2005 and is based on the outstanding state-of-the-art reports presented by the conference speakers. Ten chapters - based around five themes - provide a detailed overview of key topics, from the underlying concepts to the latest results, some of which are at the forefront of current research.

Olivier Gascuel leads a research group at LIRMM-CNRS, Montpellier. He is an associate editor of Systematic Biology and belongs to the editorial board of BMC-Bioinformatics, BMC-Evolutionary Biology, and BMC-Algorithms for Molecular Biology. He has published 110 papers and book chapters, and authored several widely used programs in phylogenetics and bioinformatics. Mike Steel directs the Biomathematics Research Centre at the University of Canterbury, New Zealand and is an associate editor of the journal Systematic Biology. He has published 120 papers and book chapters on mathematical aspects of evolutionary biology, and is co-author of the book Phylogenetics (Oxford University Press, 2003).