04184nam 22007455 450 991025461770332120200702201710.03-319-41213-210.1007/978-3-319-41213-9(CKB)3710000000765460(DE-He213)978-3-319-41213-9(MiAaPQ)EBC4617384(PPN)194513424(EXLCZ)99371000000076546020160729d2016 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierThe Statistical Physics of Fixation and Equilibration in Individual-Based Models /by Peter Ashcroft1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (XV, 164 p. 63 illus., 13 illus. in color.) Springer Theses, Recognizing Outstanding Ph.D. Research,2190-50533-319-41212-4 Includes bibliographical references at the end of each chapters.Introduction -- Technical Background -- Finite Populations in Switching Environments -- Fixation Time Distribution -- Metastable States in Cancer Initiation -- The WKB Method: A User-guide -- Conclusions.This thesis explores several interdisciplinary topics at the border of theoretical physics and biology, presenting results that demonstrate the power of methods from statistical physics when applied to neighbouring disciplines. From birth-death processes in switching environments to discussions on the meaning of quasi-potential landscapes in high-dimensional spaces, this thesis is a shining example of the efficacy of interdisciplinary research. The fields advanced in this work include game theory, the dynamics of cancer, and invasion of mutants in resident populations, as well as general contributions to the theory of stochastic processes. The background material provides an intuitive introduction to the theory and applications of stochastic population dynamics, and the use of techniques from statistical physics in their analysis. The thesis then builds on these foundations to address problems motivated by biological phenomena.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053SociophysicsEconophysicsBiomathematicsBioinformaticsProbabilitiesGame theoryCancerResearchData-driven Science, Modeling and Theory Buildinghttps://scigraph.springernature.com/ontologies/product-market-codes/P33030Mathematical and Computational Biologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M31000Bioinformaticshttps://scigraph.springernature.com/ontologies/product-market-codes/L15001Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Game Theory, Economics, Social and Behav. Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13011Cancer Researchhttps://scigraph.springernature.com/ontologies/product-market-codes/B11001Sociophysics.Econophysics.Biomathematics.Bioinformatics.Probabilities.Game theory.CancerResearch.Data-driven Science, Modeling and Theory Building.Mathematical and Computational Biology.Bioinformatics.Probability Theory and Stochastic Processes.Game Theory, Economics, Social and Behav. Sciences.Cancer Research.530.13Ashcroft Peterauthttp://id.loc.gov/vocabulary/relators/aut814141MiAaPQMiAaPQMiAaPQBOOK9910254617703321The Statistical Physics of Fixation and Equilibration in Individual-Based Models2509820UNINA