The Statistical Physics of Fixation and Equilibration in Individual-Based Models - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Statistical Physics of Fixation and Equilibration in Individual-Based Models write by Peter Ashcroft. This book was released on 2016-07-29. The Statistical Physics of Fixation and Equilibration in Individual-Based Models available in PDF, EPUB and Kindle. 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.
Fast Variables in Stochastic Population Dynamics
Fast Variables in Stochastic Population Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fast Variables in Stochastic Population Dynamics write by George William Albert Constable. This book was released on 2015-07-25. Fast Variables in Stochastic Population Dynamics available in PDF, EPUB and Kindle. In this thesis two variants of the fast variable elimination method are developed. They are intuitive, simple to implement and give results which are in very good agreement with those found from numerical simulations. The relative simplicity of the techniques makes them ideal for applying to problems featuring demographic stochasticity, for experts and non-experts alike. Within the context of mathematical modelling, fast variable elimination is one of the central tools with which one can simplify a multivariate problem. When used in the context of of deterministic systems, the theory is quite standard, but when stochastic effects are present, it becomes less straightforward to apply. While the introductory and background chapters form an excellent primer to the theory of stochastic population dynamics, the techniques developed can be applied to systems exhibiting a separation of timescales in a variety of fields including population genetics, ecology and epidemiology.
Systems Far from Equilibrium
Systems Far from Equilibrium - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Systems Far from Equilibrium write by Luis Garrido. This book was released on 1980. Systems Far from Equilibrium available in PDF, EPUB and Kindle.
Phase Equilibrium and Lattice Models in Statistical Mechanics
Phase Equilibrium and Lattice Models in Statistical Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Phase Equilibrium and Lattice Models in Statistical Mechanics write by A. H. Osbaldestin. This book was released on 1983. Phase Equilibrium and Lattice Models in Statistical Mechanics available in PDF, EPUB and Kindle.
Biological Evolution and Statistical Physics
Biological Evolution and Statistical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Biological Evolution and Statistical Physics write by M. Lässig. This book was released on 2008-01-11. Biological Evolution and Statistical Physics available in PDF, EPUB and Kindle. This set of lecture notes gives a first coherent account of a novel aspect of the living world that can be called biological information. The book presents both a pedagogical and state-of-the art roadmap of this rapidly evolving area and covers the whole field, from information which is encoded in the molecular genetic code to the description of large-scale evolution of complex species networks. The book will prove useful for all those who work at the interface of biology, physics and information science.
