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

Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Mathematics, Applied, Social & Cultural Studies, Social Science
Cover of the book The Statistical Physics of Fixation and Equilibration in Individual-Based Models by Peter Ashcroft, Springer International Publishing
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Author: Peter Ashcroft ISBN: 9783319412139
Publisher: Springer International Publishing Publication: July 29, 2016
Imprint: Springer Language: English
Author: Peter Ashcroft
ISBN: 9783319412139
Publisher: Springer International Publishing
Publication: July 29, 2016
Imprint: Springer
Language: English

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.

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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.

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