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

1. Auflage 2016
ISBN: 978-3-319-41212-2
Verlag: Springer International Publishing

Buch, Englisch, 164 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 3967 g

Reihe: Springer Theses

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.

Zielgruppe

Research

Autoren/Hrsg.

Ashcroft, Peter

Fachgebiete

• Naturwissenschaften Biowissenschaften Angewandte Biologie Bioinformatik
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Klinische und Innere Medizin Onkologie, Krebsforschung
• Naturwissenschaften Physik Angewandte Physik Soziophysik, Wirtschaftsphysik
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Mathematik | Informatik Mathematik Operations Research

Inhaltsverzeichnis

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

Über Autor(innen)

Peter Ashcroft graduated as a Master of Mathematics and Physics from the Univerisity of Manchester in 2012. He then studied for his PhD in Theoretical Physics in Manchester under the supervision of Dr Tobias Galla. This was completed in 2015. Peter is now a postdoc in theoretical biology at ETH Zürich where, amongst other projects, he is investigating the dynamics of blood formation and disease.