The statistical physics of fixation and equilibration in individual-based models [electronic resource] / Peter Ashcroft.

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The statistical physics of fixation and equilibration in individual-based models [electronic resource] / Peter Ashcroft.

9783319412139 (electronic book)
3319412132 (electronic book)
9783319412122

Switzerland : Springer, 2016.

English

1 online resource (xv, 164 pages) : illustrations.

10.1007/978-3-319-41213-9 doi

QC174.8

530.1595

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.

"Doctorla thesis accepted by The University of Manchester, UK."

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Online resource; title from PDF title page (SpringerLink, viewed August 4, 2016).

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