The Statistical Physics of Fixation and Equilibration in Individual-Based Models

• Main Author: Ashcroft, Peter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Physics.; Cancer research.; Bioinformatics.; Game theory.; Probabilities.; Biomathematics.; Sociophysics.; Econophysics.; Socio- and Econophysics, Population and Evolutionary Models.; Mathematical and Computational Biology.; Probability Theory and Stochastic Processes.; Game Theory, Economics, Social and Behav. Sciences.; Cancer Research.

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 t...

Table of Contents:

• Introduction
• Technical Background
• Finite Populations in Switching Environments
• Fixation Time Distribution
• Metastable States in Cancer Initiation
• The WKB Method: A User-guide
• Conclusions.