05448nam 22009015 450 991029999340332120200706052344.01-4471-6353-210.1007/978-1-4471-6353-4(CKB)3710000000089055(Springer)9781447163534(MH)013950633-0(SSID)ssj0001187332(PQKBManifestationID)11754684(PQKBTitleCode)TC0001187332(PQKBWorkID)11257104(PQKB)11511103(DE-He213)978-1-4471-6353-4(MiAaPQ)EBC6312056(MiAaPQ)EBC1698049(Au-PeEL)EBL1698049(CaPaEBR)ebr10983265(OCoLC)871255661(PPN)176751211(EXLCZ)99371000000008905520140213d2014 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierMathematical Methods in Biology and Neurobiology /by Jürgen Jost1st ed. 2014.London :Springer London :Imprint: Springer,2014.1 online resource (X, 226 p. 37 illus., 13 illus. in color.)online resourceUniversitext,0172-5939Bibliographic Level Mode of Issuance: Monograph1-4471-6352-4 Includes bibliographical references (pages [217]-220) and index.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.Universitext,0172-5939DynamicsErgodic theoryPartial differential equationsSystem theoryNeural networks (Computer science) Calculus of variationsCombinatoricsDynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Complex Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/M13090Mathematical Models of Cognitive Processes and Neural Networkshttps://scigraph.springernature.com/ontologies/product-market-codes/M13100Calculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Combinatoricshttps://scigraph.springernature.com/ontologies/product-market-codes/M29010Dynamics.Ergodic theory.Partial differential equations.System theory.Neural networks (Computer science) .Calculus of variations.Combinatorics.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.Combinatorics.570.1/51Jost Jürgenauthttp://id.loc.gov/vocabulary/relators/aut54734MiAaPQMiAaPQMiAaPQBOOK9910299993403321Mathematical methods in biology and neurobiology821315UNINAThis Record contains information from the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others the Library of Congress