Deterministic and stochastic dynamics in bacterial systems
Microorganisms form an essential part of our biosphere and represent roughly 14 percent of the biomass on earth. In spite of this abundance, the majority of chemical and physical processes governing the live of microorganisms remain poorly understood. In this work, we focus on three different phe...
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| Format: | Dissertation |
| Sprache: | Englisch |
| Veröffentlicht: |
Philipps-Universität Marburg
2019
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| Online-Zugang: | PDF-Volltext |
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| Zusammenfassung: | Microorganisms form an essential part of our biosphere and represent roughly 14 percent
of the biomass on earth. In spite of this abundance, the majority of chemical and physical
processes governing the live of microorganisms remain poorly understood. In this work, we
focus on three different phenomena from the realm of microorganisms and aim to explain
the physical processes behind them. We examine how the bacterium Shewanella Putrefaciens
exploits a mechanical instability to wrap its flagellum around its cell body, effectively forming
a screw that allows the bacterium to escape from traps. Based on a numerical model we
study the onset of screw formation in dependence of the flagellar geometry and the existence
of multiple equilibrium configurations of the flagellum.
Furthermore, we study the effects of actively swimming microorganisms on the diffusion
of passive tracer particles. By means of a numerical simulation we examine a single
swimmer-tracer interaction and use the results to develop a model based on continuous time
random walks that captures a series of swimmer-tracer interactions. We derive an analytical
expression for the one dimensional probability density function of the tracer displacements
and use numerical simulations to approximate the two- and three-dimensional distributions.
We then extend the model to include periods of free tracer diffusion between the tracerswimmer
interactions and fit this extended model to a number of experimentally observed
tracer distributions.
In the third part of this work we examine how the cylindrical shape of a bacterium affects
the isotropic trajectories of membrane proteins when observed with a microscope. We
derive an analytical expression for the anisotropic distribution of the particle displacements
when projected in the observation plane and use this result to calculate the mean squared
displacement curves. Finally, we use numerical simulations to study the effects of a limited
focus depth and to understand the resulting challenges for the estimation of the diffusion
coefficients. |
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| Umfang: | 102 Seiten |
| DOI: | 10.17192/z2019.0476 |