Corner Flows in Free Liquid Films

A lubrication-flow model for a free film in a corner is presented. The model, written in the hyperbolic coordinate system ξ = x² – y², η = 2xy, applies to films that are thin in the η direction. The lubrication approximation yields two coupled evolution equations for the film thickness and the velocity field which, to lowest order, describes plug flow in the hyperbolic coordinates. A free film in a corner evolving under surface tension and gravity is investigated. The rate of thinning of a free film is compared to that of a film evolving over a solid substrate. Viscous shear and normal stresses are both captured in the model and are computed for the entire flow domain. It is shown that normal stress dominates over shear stress in the far field, while shear stress dominates close to the corner

Speed-dependent chemotactic precision in marine bacteria

Chemotaxis underpins important ecological processes in marine bacteria, from the association with primary producers to the colonization of particles and hosts. Marine bacteria often swim with a single flagellum at high speeds, alternating "runs" with either 180° reversals or ∼90° "flicks," the latter resulting from a buckling instability of the flagellum. These adaptations diverge from Escherichia coli's classic run-And-Tumble motility, yet how they relate to the strong and rapid chemotaxis characteristic of marine bacteria has remained unknown. We investigated the relationship between swimming speed, run-reverse-flick motility, and high-performance chemotaxis by tracking thousands of Vibrio alginolyticus cells in microfluidic gradients. At odds with current chemotaxis models, we found that chemotactic precision the strength of accumulation of cells at the peak of a gradient is swimming-speed dependent in V. alginolyticus. Faster cells accumulate twofold more tightly by chemotaxis compared with slower cells, attaining an advantage in the exploitation of a resource additional to that of faster gradient climbing. Trajectory analysis and an agent-basedmathematicalmodel revealed that this unexpected advantage originates from a speed dependence of reorientation frequency and flicking, which were higher for faster cells, and was compounded by chemokinesis, an increase in speedwith resource concentration. The absence of any one of these adaptations led to a 65-70% reduction in the populationlevel resource exposure. These findings indicate that, contrary to what occurs in E. coli, swimming speed can be a fundamental determinant of the gradient-seeking capabilities of marine bacteria, and suggest a new model of bacterial chemotaxis. Keywords: ocean; motility; run-reverse-flick; chemotaxis; chemokinesisNational Institutes of Health (U.S.) (Grant 1R01GM100473)Gordon and Betty Moore Foundation (Award GBMF3783

Microfluidics Expanding the Frontiers of Microbial Ecology

Microfluidics has significantly contributed to the expansion of the frontiers of microbial ecology over the past decade by allowing researchers to observe the behaviors of microbes in highly controlled microenvironments, across scales from a single cell to mixed communities. Spatially and temporally varying distributions of organisms and chemical cues that mimic natural microbial habitats can now be established by exploiting physics at the micrometer scale and by incorporating structures with specific geometries and materials. In this article, we review applications of microfluidics that have resulted in insightful discoveries on fundamental aspects of microbial life, ranging from growth and sensing to cell-cell interactions and population dynamics. We anticipate that this flexible multidisciplinary technology will continue to facilitate discoveries regarding the ecology of microorganisms and help uncover strategies to control microbial processes such as biofilm formation and antibiotic resistance.National Science Foundation (U.S.) (Grant OCE-0744641-CAREER)National Science Foundation (U.S.) (Grant IOS-1120200)National Science Foundation (U.S.) (Grant CBET-1066566)National Science Foundation (U.S.) (Grant CBET-0966000)National Institutes of Health (U.S.) (NIH grant 1R01GM100473-0)Human Frontier Science Program (Strasbourg, France)Human Frontier Science Program (Strasbourg, France) (award RGY0089)Gordon and Betty Moore Foundation (Microbial Initiative Investigator Award

Bacterial chemotaxis towards the extracellular products of the toxic phytoplankton Heterosigma akashiwo

Marine bacteria exhibit positive chemotactic responses to the extracellular exudates of the toxic phytoplankton Heterosigma akashiwo. In the environment, this will support bacteria–algae associations with potential implications for harmful algal bloom dynamics.National Science Foundation (U.S.) (OCE-0526241)National Science Foundation (U.S.) (OCE-0744641 CAREER)Australian Research Council (Discovery Grant)Massachusetts Institute of Technology. Energy Initiative (Martin Family Society of Fellows for Sustainability Fellowship

Modeling the impact of dilution on the microbial degradation time of dispersed oil in marine environments

Dispersants aid the breakup of crude oil masses and increase the available interfacial surface area for bacteria to degrade insoluble hydrocarbons in the marine environment. However, this common view neglects key aspects of the microscale interactions between bacteria and oil droplets, particularly the encounters between these elements that are required for degradation to occur. This chapter discusses a biophysical model for hydrocarbon consumption of suspended oil droplets under conditions of rapid dilution that occur in natural environments. Based on the model, which includes typical biological growth parameters, dilution is found to produce an effective delay in the onset of biodegradation by approximately a week. The steady and rapid reduction in oil concertation, due to dilution, is found to outpace the production of oil-degrading bacteria that result from colonization of degrading oil droplets, maintaining the process in an encounter-limited state. This mechanistic model provides a baseline for better understanding of microscale biodegradation in dilute oil environments and can help inform the design of mitigation strategies in marine systems

Failed Escape: Solid Surfaces Prevent Tumbling of Escherichia coli

Understanding how bacteria move close to surfaces is crucial for a broad range of microbial processes including biofilm formation, bacterial dispersion, and pathogenic infections. We used digital holographic microscopy to capture a large number (>10[superscript 3]) of three-dimensional Escherichia coli trajectories near and far from a surface. We found that within 20  μm from a surface tumbles are suppressed by 50% and reorientations are largely confined to surface-parallel directions, preventing escape of bacteria from the near-surface region. A hydrodynamic model indicates that the tumble suppression is likely due to a surface-induced reduction in the hydrodynamic force responsible for the flagellar unbundling that causes tumbling. These findings imply that tumbling does not provide an effective means to escape trapping near surfaces.National Institutes of Health (U.S.) (Grant 1-R21-EB008844-01)National Science Foundation (U.S.) (Grant OCE-0744641-CAREER)National Science Foundation (U.S.) (Grant CBET-1066566