Blick ins Buch

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

Peter Ashcroft (Autor)

Buch | Hardcover

XV, 164 Seiten

2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-41212-2 (ISBN)

Lese- und Medienproben

Blick ins Buch (midvox)

Artikel merken

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.

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

Erscheinungsdatum	05.08.2016
Reihe/Serie	Springer Theses
Zusatzinfo	XV, 164 p. 63 illus., 13 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Sozialwissenschaften ► Soziologie ► Empirische Sozialforschung
Schlagworte	Bioinformatics • cancer initiation • Cancer Research • Data-driven Science, Modeling and Theory Building • evolutionary game theory • Fixation Probability • Fixation Time Distribution • Game Theory, Economics, Social and Behav. Sciences • Mathematical and Computational Biology • Mixing Time • Moran Process • Physics and Astronomy • Probability theory and stochastic processes • Quasi-potential Landscapes • Quasi-stationary Distribution • Socio- and Econophysics, Population and Evolutiona • Stochastic Tunnelling • WKB method
ISBN-10	3-319-41212-4 / 3319412124
ISBN-13	978-3-319-41212-2 / 9783319412122
Zustand	Neuware