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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.
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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