Bacterial swimming and oxygen transport near contact lines.

By Idan Tuval, Luis H. Cisneros, C. Dombrowski, C. Wolgemuth, John O. Kessler, Raymond E. Goldstein. Proceedings of the National Academy of Sciences of the United States of America, 2005

809 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Condensed Matter Physics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/6c7876572001e7d99f69184223528c9f747af184

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Citations in the corpus

Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant (2012, background): “([19]) to describe the motion of oxygen-driven swimming bacteria in an incompressible fluid.”
Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity (2015, neutral): “In light of the observation that spontaneous emergence of structures indeed seems to occur mainly near droplet boundaries [31], it thus appears adequate to allow the parameter function S in (1.”
Global Solutions to the Coupled Chemotaxis-Fluid Equations (2010, methodology): “Recently, to describe the coupled biological phenomena mentioned above, the authors in [31] proposed the following model:  tn+ u · n = n− · c n c tc + u · c = c − k c n tu+ u · u+ P = u− n · u = 0 t > 0 x ∈ (1.”
The small-convection limit in a two-dimensional chemotaxis-Navier–Stokes system (2017, positive): “are proposed in [32] as extensions of the classical Keller–Segel-type chemotaxis models to such situations of nontrivial interaction of chemotactically migrating cells with liquid environments.”
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion (2013, neutral): “Taking into account all these processes, in [23] the authors proposed the model ⎧⎪⎨ ⎪⎩ nt + u · ∇n = n − ∇ · ( nχ(c)∇c), x ∈ Ω, t > 0, ct + u · ∇c = c − nf (c), x ∈ Ω, t > 0, ut + κ(u · ∇)u = u − ∇P + n∇φ, x ∈ Ω, t > 0, ∇ · u = 0, x ∈ Ω, t > 0, (1.”
Hydrodynamics of self-propulsion near a boundary: predictions and accuracy of far-field approximations (2012, background): “Tuval et al. (2005) have considered the development of large-scale fluid structures driven by a competition between oxygen-taxis near the surface of a sessile drop and gravitational effects.”
Long-term behaviour in a chemotaxis-fluid system with logistic source (2016, background): “in [37] and variants thereof, have received much attention from the mathematical community over the past few years.”
Blow-up prevention by quadratic degradation in a two-dimensional Keller–Segel–Navier–Stokes system (2016, background): “1) where the signal is produced by the cells, the latter rather consume this chemical ([32]).”
Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion (2015, neutral): “rated by bacteria themselves. Both the oxygen concentration and bacteria density are transported by the ﬂuid and diﬀuse through the ﬂuid ( [5,14,20]). To model such biological processes, Tuval et al. [22] proposed the following model nt +u ·∇n = ∆n−∇·(nχ(c)∇c), x ∈ Ω, t > 0, ct +u· ∇c = ∆c”
COUPLED CHEMOTAXIS FLUID MODEL (2010, methodology): “density of the bacteria suspension equals the density of water as used in the biophysics literature [6, 18].”
Fluid dynamics of self-propelled microorganisms, from individuals to concentrated populations (2007, background): “These unstable stratifications evolve in the usual manner by a Rayleigh–Taylor instability which, in turn, can lead to highly concentrated populations (Dombrowski et al. 2004, Tuval et al. 2005) (Fig.”
Existence of Smooth Solutions to Coupled Chemotaxis-Fluid Equations (2011, methodology): “The authors in [21] suggested that the functions k(c) and χ(c) are constants at large c and rapidly approach zero below some critical c∗.”
Global classical small-data solutions for a three-dimensional chemotaxis Navier–Stokes system involving matrix-valued sensitivities (2016, neutral): “Indeed, as description for colonies of bacillus subtilis, chemotactic bacteria that are known to display organized swimming and bioconvection patterns in a fluid habitat [21, 36, 43, 11], the following model has been suggested in [49]:    nt = ∆n−∇ · (χ(c)n∇c)− u · ∇n, ct = ∆c− nk(c)− u ·”
Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity (2018, background): “Motivated by the particular experimental background from [20] and [47], most previous studies on chemotaxis-fluid systems related to (1.”