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

The Statistical Physics of Fixation and Equilibration in Individual-Based Models PDF Author: Peter Ashcroft
Publisher: Springer
ISBN: 3319412132
Category : Science
Languages : en
Pages : 175

Book Description
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.

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

The Statistical Physics of Fixation and Equilibration in Individual-Based Models PDF Author: Peter Ashcroft
Publisher: Springer
ISBN: 3319412132
Category : Science
Languages : en
Pages : 175

Book Description
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 PDF Author: George William Albert Constable
Publisher: Springer
ISBN: 3319212184
Category : Science
Languages : en
Pages : 172

Book Description
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 PDF Author: Luis Garrido
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 440

Book Description


Biological Evolution and Statistical Physics

Biological Evolution and Statistical Physics PDF Author: M. Lässig
Publisher: Springer
ISBN: 3540456929
Category : Science
Languages : en
Pages : 340

Book Description
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.

Physics Briefs

Physics Briefs PDF Author:
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 1256

Book Description


From Individualism to the Individual

From Individualism to the Individual PDF Author: George M. Frankfurter
Publisher: Routledge
ISBN: 1351744550
Category : Business & Economics
Languages : en
Pages : 510

Book Description
This title was first published in 2002: From Individualism to the Individual treats finance as a social and cultural process, exploring the unseen side of academic discourse and the many obstacles the deeply entrenched elite puts in the way of alternative thinking. Opening with a detailed discussion of the role of ideology in the perpetuation of the limited methodological bias of the profession toward markets, the book then examines the more specific effects of such ideological limitations on theoretical and empirical research in finance. The authors develop alternative ways to examine finance both as a profession and as a field of inquiry. This book will be of particular value to researchers and practitioners working in finance, as well as those in other social science disciplines whose research relates to finance, culture and society.

Sustainability Assessments of Urban Systems

Sustainability Assessments of Urban Systems PDF Author: Claudia R. Binder
Publisher: Cambridge University Press
ISBN: 110847179X
Category : Business & Economics
Languages : en
Pages : 523

Book Description
Provides guidelines for assessing the sustainability of urban systems including theory, methods and case studies.

Applied Mechanics Reviews

Applied Mechanics Reviews PDF Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 960

Book Description


Foundations of Complex-system Theories

Foundations of Complex-system Theories PDF Author: Sunny Y. Auyang
Publisher: Cambridge University Press
ISBN: 9780521778268
Category : Business & Economics
Languages : en
Pages : 422

Book Description
Analyzes approaches to the study of complexity in the physical, biological, and social sciences.

Individual-Based Models of Cultural Evolution

Individual-Based Models of Cultural Evolution PDF Author: Alberto Acerbi
Publisher: Routledge
ISBN: 9781003282068
Category : Psychology
Languages : en
Pages : 216

Book Description
"Individual-Based Models of Cultural Evolution shows readers how to create individual-based models of cultural evolution using the programming language R. The field of cultural evolution has emerged in the last few decades as a thriving, interdisciplinary effort to understand cultural change and cultural diversity within an evolutionary framework and using evolutionary tools, concepts and methods"--