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Team:Glasgow/Modeling
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Revision as of 14:53, 6 August 2014
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Section 1: Modelling of Bacteria Random Walk
Firstly, we created a very basic 2D model of a flagella propelled bacterium. This was heavily based on the “random walk” model we mentioned previously, only we introduced a small degree of order, based on a more extensive and all-encompassing model created by Dillon, Fauci and Gaver in 1995.(link to paper?)DOI: 10.1006/jtbi.1995.0251
In order to simplify the model, we made a number of assumptions. These are:
The movement of a bacteria through a medium is described thus:
1. The bacteria is moving at a random angle at a certain speed.
2. After a certain time (the “run” time), the bacteria reorientates itself (the “tumble”),
and sets off at a different angle. This run time can be influenced by the chemotaxic gradient,
if present
The images below describe how the run times are influenced: if the bacteria is on a path towards the "food", it is unlikely to change direction.
Firstly, we created a very basic 2D model of a flagella propelled bacterium. This was heavily based on the “random walk” model we mentioned previously, only we introduced a small degree of order, based on a more extensive and all-encompassing model created by Dillon, Fauci and Gaver in 1995.(link to paper?)DOI: 10.1006/jtbi.1995.0251
In order to simplify the model, we made a number of assumptions. These are:
- Tumbling is instantaneous
- Chemotaxic gradient is not a factor
- An E.coil cell can be represented as a sphere
- Speed is constant (20ms-1)
The movement of a bacteria through a medium is described thus:
1. The bacteria is moving at a random angle at a certain speed.
2. After a certain time (the “run” time), the bacteria reorientates itself (the “tumble”),
and sets off at a different angle. This run time can be influenced by the chemotaxic gradient,
if present
The images below describe how the run times are influenced: if the bacteria is on a path towards the "food", it is unlikely to change direction.
