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

  • Peter Ashcroft

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Peter Ashcroft
    Pages 1-9
  3. Peter Ashcroft
    Pages 11-37
  4. Peter Ashcroft
    Pages 127-158
  5. Peter Ashcroft
    Pages 159-164

About this book


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.


Evolutionary Game Theory Moran Process Fixation Probability Fixation Time Distribution Mixing Time Stochastic Tunnelling Cancer Initiation WKB Method Quasi-stationary Distribution Quasi-potential Landscapes

Authors and affiliations

  • Peter Ashcroft
    • 1
  1. 1.Institute for Integrative BiologyETH ZürichZÜRICHSwitzerland

Bibliographic information