The Statistical Physics of Fixation and Equilibration in Individual-Based Models / by Peter Ashcroft

By:

Ashcroft, Peter [aut]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer Theses, Recognizing Outstanding Ph.D. Research | SpringerLink BücherPublisher: [Cham] : Springer, 2016Description: Online-Ressource (XV, 164 p. 63 illus., 13 illus. in color, online resource)ISBN:

9783319412139

Subject(s):

Genre/Form:

Hochschulschrift

Additional physical formats: 9783319412122 | Druckausg.: 978-3-319-41212-2 | Erscheint auch als: The statistical physics of fixation and equilibration in individual-based models. Druck-Ausgabe [Cham] : Springer, 2016. xv, 164 SeitenMSC: MSC: *82-02 | 91B80 | 92-08 | 92D25 | 92C50LOC classification:

QC1-999

DOI: DOI: 10.1007/978-3-319-41213-9Online resources:

Summary: Introduction -- Technical Background -- Finite Populations in Switching Environments -- Fixation Time Distribution -- Metastable States in Cancer Initiation -- The WKB Method: A User-guide -- Conclusions.Summary: 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.PPN: PPN: 1658409051Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXP | ZDB-2-PHA

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