03182nam a22004095i 4500978-1-4471-6353-4cr nn 008mamaa140213s2014 xxk: s :::: 0:eng d9781447163534DOI : 10.1007/978-1-4471-6353-4ENGGBQA313515.39 (DDC 23)Online Resource : SpringerJost, Jürgen.1956-Mathematical Methods in Biology and Neurobiology[Ebook]by Jürgen Jost.LondonSpringer London2014.X, 226 pages. 37 illus., 13 illus. in color.online resource.textonline resourceUniversitext,Introduction -- Discrete structures -- Stochastic processes -- Pattern formation -- Optimization -- Population genetics.Mathematical models can be used to meet many of the challenges and opportunities offered by modern biology. The description of biological phenomena requires a range of mathematical theories. This is the case particularly for the emerging field of systems biology. Mathematical Methods in Biology and Neurobiology introduces and develops these mathematical structures and methods in a systematic manner. It studies: • discrete structures and graph theory • stochastic processes • dynamical systems and partial differential equations • optimization and the calculus of variations. The biological applications range from molecular to evolutionary and ecological levels, for example: • cellular reaction kinetics and gene regulation • biological pattern formation and chemotaxis • the biophysics and dynamics of neurons • the coding of information in neuronal systems • phylogenetic tree reconstruction • branching processes and population genetics • optimal resource allocation • sexual recombination • the interaction of species. Written by one of the most experienced and successful authors of advanced mathematical textbooks, this book stands apart for the wide range of mathematical tools that are featured. It will be useful for graduate students and researchers in mathematics and physics that want a comprehensive overview and a working knowledge of the mathematical tools that can be applied in biology. It will also be useful for biologists with some mathematical background that want to learn more about the mathematical methods available to deal with biological structures and data.Access is restricted to subscription instititions through IP address (only for SISSA internal users)Differentiable dynamical systems.Differential equations, PartialCombinatorics.Mathematical optimization.Dynamical Systems and Ergodic Theory.Partial Differential Equations.Complex Systems.Mathematical Models of Cognitive Processes and Neural Networks.Calculus of Variations and Optimal Control; Optimization.SpringerLink (Online service)Universitext,http://dx.doi.org/10.1007/978-1-4471-6353-4