ArticlePLoS computational biology2010
Mathematical description of bacterial traveling pulses.
Article in PLoS computational biology, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers.
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Who cites it
16 citing papers in PubMed.
- Trajectory analysis ofBiomicrofluidics · 2024Article
- Bacterial bioconvection confers context-dependent growth benefits and is robust under varying metabolic and genetic conditions.Journal of bacteriology · 2023Article
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- A modular degron library for synthetic circuits in mammalian cells.Nature communications · 2019Article
- Escape band inProceedings of the National Academy of Sciences of the United States of America · 2019Article
- Connecting single-cell properties to collective behavior in multiple wild isolates of the Enterobacter cloacae complex.PloS one · 2019Article
- Article
- Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway.Journal of mathematical biology · 2016Article
- Traveling Pulses for a Two-Species Chemotaxis Model.PLoS computational biology · 2016Article
- Chemotactic preferences govern competition and pattern formation in simulated two-strain microbial communities.Frontiers in microbiology · 2015Article
- The effects of chemical interactions and culture history on the colonization of structured habitats by competing bacterial populations.BMC microbiology · 2014Article
- Article
- Microfluidics expanding the frontiers of microbial ecology.Annual review of biophysics · 2014Review
- Excitation and adaptation in bacteria-a model signal transduction system that controls taxis and spatial pattern formation.International journal of molecular sciences · 2013Article
- Directional persistence of chemotactic bacteria in a traveling concentration wave.Proceedings of the National Academy of Sciences of the United States of America · 2011Article
- Can mesenchymal cells undergo collective cell migration? The case of the neural crest.Cell adhesion & migrationReview
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6 authors.
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Abstract
The Keller-Segel system has been widely proposed as a model for bacterial waves driven by chemotactic processes. Current experiments on Escherichia coli have shown the precise structure of traveling pulses. We present here an alternative mathematical description of traveling pulses at the macroscopic scale. This modeling task is complemented with numerical simulations in accordance with the experimental observations. Our model is derived from an accurate kinetic description of the mesoscopic run-and-tumble process performed by bacteria. This can account for recent experimental observations with E. coli. Qualitative agreements include the asymmetry of the pulse and transition in the collective behaviour (clustered motion versus dispersion). In addition, we can capture quantitatively the traveling speed of the pulse as well as its characteristic length. This work opens several experimental and theoretical perspectives since coefficients at the macroscopic level are derived from considerations at the cellular scale. For instance, the particular response of a single cell to chemical cues turns out to have a strong effect on collective motion. Furthermore, the bottom-up scaling allows us to perform preliminary mathematical analysis and write efficient numerical schemes. This model is intended as a predictive tool for the investigation of bacterial collective motion.
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