Title:
Application of structural sums to study collective behavior of bacteria
Authors:
- Tomasz Ligocki
Published in:
(2024). ECMS 2024, 38th Proceedings
Edited by: Daniel Grzonka, Natalia Rylko, Grazyna Suchacka, Vladimir Mityushev, European Council for Modelling and Simulation.
DOI: http://doi.org/10.7148/2024
ISSN: 2522-2422 (ONLINE)
ISSN: 2522-2414 (PRINT)
ISSN: 2522-2430 (CD-ROM)
ISBN: 978-3-937436-84-5
ISBN: 978-3-937436-83-8 (CD) Communications of the ECMS Volume 38, Issue 1, June 2024, Cracow, Poland June 4th – June 7th, 2024
DOI:
https://doi.org/10.7148/2024-0304
Citation format:
Tomasz ligocki, (2024). Application of structural sums to study collective behavior of bacteria, ECMS 2024, Proceedings Edited by: Daniel Grzonka, Natalia Rylko, Grazyna Suchacka, Vladimir Mityushev, European Council for Modelling and Simulation. doi:10.7148/2024-0304
Abstract:
In the papers related to the subject of bacteria moving in the studied environments, it was established that the hydrodynamic interactions between the swimming bacteria can lead to collective motion, evidence of which has been confirmed by a reduction in effective viscosity. In the above-mentioned works, a new quantitative criterion for detecting such collective behavior is proposed. The presented criterion is based on the new computationally efficient theory of RVE (representative volume element) based on fundamental statistical moments (e-sums or generalized Eisenstein-Rayleigh sums) and this criterion can be applied to various two-phase media dispersed (e.g. biological systems, composites, etc.). Bacterial locations are modeled with short, narrow-width segments randomly embedded in the medium without overlapping. E-sums of simulated disordered harvests and observed experimental Bacillus subtilis locations will be calculated. The results obtained indicate a difference between the two sets that demonstrates the collective movement of the bacteria.
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