Table of contents
About this book
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.
Evolutionary Game Theory Moran Process Fixation Probability Fixation Time Distribution Mixing Time Stochastic Tunnelling Cancer Initiation WKB Method Quasi-stationary Distribution Quasi-potential Landscapes
- DOI https://doi.org/10.1007/978-3-319-41213-9
- Copyright Information Springer International Publishing Switzerland 2016
- Publisher Name Springer, Cham
- eBook Packages Physics and Astronomy Physics and Astronomy (R0)
- Print ISBN 978-3-319-41212-2
- Online ISBN 978-3-319-41213-9
- Series Print ISSN 2190-5053
- Series Online ISSN 2190-5061
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