# Self-organized pattern formation of run-and-tumble chemotactic bacteria: Instability analysis of a kinetic chemotaxis model

@article{Perthame2017SelforganizedPF, title={Self-organized pattern formation of run-and-tumble chemotactic bacteria: Instability analysis of a kinetic chemotaxis model}, author={Beno{\^i}t Perthame and Shugo Yasuda}, journal={arXiv: Analysis of PDEs}, year={2017} }

Collective motion of chemotactic bacteria as E. Coli relies, at the individual level, on a continuous reorientation by runs and tumbles. It has been established that the length of run is decided by a stiff response to temporal sensing of chemical cues along the pathway. We analyze consequences on self-organized pattern formation resulting from modulation of tumbling frequency with stiff response. Thanks to both analytical arguments and numerical simulations, we show that the stationary…

## 2 Citations

The flux limited Keller–Segel system; properties and derivation from kinetic equations

- Mathematics
- 2018

The flux limited Keller-Segel (FLKS) system is a macroscopic model describing bacteria motion by chemotaxis which takes into account saturation of the velocity. The hyper-bolic form and some special…

Suppressing blow-up by gradient-dependent flux limitation in a planar Keller–Segel–Navier–Stokes system

- Chemistry, ArtZeitschrift für angewandte Mathematik und Physik
- 2021

The flux-limited Keller–Segel–Navier–Stokes system is described, which aims to provide real-time information about how the input and output of the system is changed over time over a sustained period of time.

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