scholarly journals Impact of confined geometries on hopping and trapping of motile bacteria in porous media

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Lazaro J. Perez ◽  
Tapomoy Bhattacharjee ◽  
Sujit S. Datta ◽  
Rishi Parashar ◽  
Nicole L. Sund
2007 ◽  
Vol 189 (23) ◽  
pp. 8704-8707 ◽  
Author(s):  
Peter Galajda ◽  
Juan Keymer ◽  
Paul Chaikin ◽  
Robert Austin

ABSTRACT Randomly moving but self-propelled agents, such as Escherichia coli bacteria, are expected to fill a volume homogeneously. However, we show that when a population of bacteria is exposed to a microfabricated wall of funnel-shaped openings, the random motion of bacteria through the openings is rectified by tracking (trapping) of the swimming bacteria along the funnel wall. This leads to a buildup of the concentration of swimming cells on the narrow opening side of the funnel wall but no concentration of nonswimming cells. Similarly, we show that a series of such funnel walls functions as a multistage pump and can increase the concentration of motile bacteria exponentially with the number of walls. The funnel wall can be arranged along arbitrary shapes and cause the bacteria to form well-defined patterns. The funnel effect may also have implications on the transport and distribution of motile microorganisms in irregular confined environments, such as porous media, wet soil, or biological tissue, or act as a selection pressure in evolution experiments.


Author(s):  
Markus Schmuck ◽  
Marc Pradas ◽  
Grigorios A. Pavliotis ◽  
Serafim Kalliadasis

We derive a new, effective macroscopic Cahn–Hilliard equation whose homogeneous free energy is represented by fourth-order polynomials, which form the frequently applied double-well potential. This upscaling is done for perforated/strongly heterogeneous domains. To the best knowledge of the authors, this seems to be the first attempt of upscaling the Cahn–Hilliard equation in such domains. The new homogenized equation should have a broad range of applicability owing to the well-known versatility of phase-field models. The additionally introduced feature of systematically and reliably accounting for confined geometries by homogenization allows for new modelling and numerical perspectives in both science and engineering. Our results are applied to wetting dynamics in porous media and to a single channel with strongly heterogeneous walls.


2016 ◽  
Vol 74 (2) ◽  
pp. 24607 ◽  
Author(s):  
Azza Zerriaa ◽  
Mohammed El Ganaoui ◽  
Christine Gerardin ◽  
Abdel Tazibt ◽  
Slimane Gabsi
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