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

Peter Ashcroft (Autor)

eBook Download: PDF

2016 | 1st ed. 2016
XV, 164 Seiten
Springer International Publishing (Verlag)
978-3-319-41213-9 (ISBN)

Infos

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.

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. 

Inhalt

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

Produkt-Details

• Erscheint lt. Verlag: 29.7.2016
• Reihe/Serie: Springer Theses
• Reihe/Serie: Springer Theses
• Zusatzinfo: XV, 164 p. 63 illus., 13 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Medizin / Pharmazie ► Medizinische Fachgebiete ► Onkologie
• Themenwelt: Naturwissenschaften ► Biologie
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
• Themenwelt: Technik
• Schlagworte: cancer initiation • Data-driven Science, Modeling and Theory Building • evolutionary game theory • Fixation Probability • Fixation Time Distribution • Mixing Time • Moran Process • Quasi-potential Landscapes • Quasi-stationary Distribution • Stochastic Tunnelling • WKB method
• ISBN-10: 3-319-41213-2 / 3319412132
• ISBN-13: 978-3-319-41213-9 / 9783319412139