Bacterial diffusion in disordered media, by forgetting the media
arXiv:2311.10612 · doi:10.1073/pnas.2407313122
Abstract
We study bacterial diffusion in disordered porous media. Interactions with obstacles, at unknown locations, make this problem challenging. We approach it by abstracting the environment to cell states with memoryless transitions. With this, we derive an effective diffusivity that agrees well with simulations in explicit geometries. The diffusivity is non-monotonic, and we solve the optimal run length. We also find a rescaling that causes all of the theory and simulations to collapse. Our results indicate that a small set of microscopic features captures bacterial diffusion in disordered media.
5 pages, 4 figures. SI included as an ancillary PDF file
References in corpus (9)
- Hydrodynamic attraction of swimming microorganisms by surfaces
- Fluid dynamics and noise in bacterial cell-cell and cell-surface scattering
- Lévy walks
- Bacterial hopping and trapping in porous media
- Geometric capture and escape of a microswimmer colliding with an obstacle
- Non-genetic diversity modulates population performance
- The Localization Transition of the Two-Dimensional Lorentz Model
- Dynamics of active filaments in porous media
- Microscopic theory for the diffusion of an active particle in a crowded environment