New mathematical model for the motion of bacteria

Biofilms form when microorganisms such as certain types of bacteria adhere to the surface of objects in a moist environment and begin to reproduce resulting in the excretion of a slimy glue-like substance.

These biofilms aren't just unpleasant and unappealing however, they can be seriously troublesome. For example, in the medical field, the formation of biofilm can reduce the effectiveness of antibiotic treatments. The key to understanding biomass formation lies in understanding how bacteria behave en masse.

A new paper in EPJE by Heinrich-Heine-Universität, Düsseldorf, Germany, researcher Davide Breoni and his co-authors presents a mathematical model for the motion of bacteria that includes cell division and death, the basic ingredients of the cell cycle.

The team developed a mathematical model of bacterial movement in the process creating a link between statistical physics and biophysics.

Our new model belongs to a class of models for 'active matter' that currently encounter a lot of interest in statistical physics. This field studies the collective properties of particle systems that have their own energy source -; bacteria are an exemplary case."

Davide Breoni, Researcher, Heinrich-Heine-Universität, Düsseldorf, Germany

The model devised by the team delivered a surprise by suggesting that when it comes to movement bacteria can act as a unit.

"In the course of our investigation, we found out that the model predicts
that the formation of bacterial colonies can occur through the build-up of
traveling waves, concentrated 'packages' of bacteria," Breoni adds. "We did not expect this to arise from such a simple model as ours."

He believes that the results should be interesting to the general public who may be aware of bacterial colonies, but not know how they move in a collective way.

Breoni concludes by pointing out this is a very simple model suggesting how the research could proceed from here. "We could try to make the model more realistic and confront the results to experiment to test its predictions," he says. "On the other hand, this research is very much curiosity-driven and results from intense discussions among the researchers -; an approach we'd like to maintain so we can continue to surprise ourselves with our findings."

Source:
Journal reference:

Breoni, D., et al. (2022) A one-dimensional three-state run-and-tumble model with a 'cell cycle'. The European Physical Journal E. doi.org/10.1140/epje/s10189-022-00238-7.

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