Swimming Speed Of Cells Research Articles

A mathematical modeling of light-induced bioconvection in an isotropic porous medium

The study of bioconvection within porous medium saturated with a suspension of phototactic microorganisms is a research area of substantial importance, with wide-ranging implications in scientific and engineering disciplines. Understanding bioconvection in such systems is crucial for optimizing light distribution and reduces reliance on mechanical mixing. Hence, we examine the light-induced bioconvection in a suspension of phototactic microorganisms in an isotropic porous medium illuminated by collimated irradiation from above. The main objective of this study is to investigate the effects of key parameters such as the Darcy number, critical light intensity, and cell swimming speed on the initiation of bioconvection. The findings via linear stability analysis reveal that an increase in these parameters stimulates bioconvection, which leads to enhanced nutrient distribution within the medium. Additionally, the study reveals that the bioconvective solution transits from stationary and oscillatory types and vice-versa as the Darcy number increases. These results may help to optimize biofuel production and enhance industrial filtration processes.

Discriminating motilities: Coordinating IFT with flagellar beating patterns.

Intraflagellar transport has traditionally been studied in immobilized flagella. In this issue, Gray et al. (https://doi.org/10.1083/jcb.202401154) introduced a novel methodology for fast imaging in free-swimming Leishmania, revealing the impacts of flagellum immobilization on intraflagellar transport and its inverse correlation with cell swimming speed.

Effect of scattered/diffuse flux on the phototactic bioconvection in the absence of collimated flux

The main objective of this paper is to investigate the impact of diffuse/scattered flux in the absence of collimated flux on the stability of an isotropic scattering algal suspension. The linear stability analysis predicts an unstable mode of disturbance shifts from a non-oscillatory (an overstable) to an overstable (a non-oscillatory) state at the variation of diffuse flux for fixed parameters at the bioconvective instability. However, overstable solutions are observed only at the higher cell swimming speed and a higher extinction coefficient. The critical Rayleigh number increases as the magnitude of diffuse flux intensifies. This indicates that a suspension illuminated by higher levels of diffuse flux is more stable. Furthermore, the lower (higher) swimming speed enhances (diminishes) the suspension's stability, especially in low (high) light conditions. Also, the horizontal component of swimming orientation becomes more influential with a higher level of diffuse flux, particularly at smaller pattern wavelengths, resulting in behavior akin to gyrotaxis in certain instances.

Flagellar arrangements in elongated peritrichous bacteria: bundle formation and swimming properties

The surface distribution of flagella in peritrichous bacterial cells has been traditionally assumed to be random. Recently, the presence of a regular grid-like pattern of basal bodies has been suggested. Experimentally, the manipulation of the anchoring points of flagella in the cell membrane is difficult, and thus, elucidation of the consequences of a particular pattern on bacterial locomotion is challenging. We analyze the bundle formation process and swimming properties of Bacillus subtilis-like cells considering random, helical, and ring-like arrangements of flagella by means of mesoscale hydrodynamics simulations. Helical and ring patterns preferentially yield configurations with a single bundle, whereas configurations with no clear bundles are most likely for random anchoring. For any type of pattern, there is an almost equally low probability to form V-shaped bundle configurations with at least two bundles. Variation of the flagellum length yields a clear preference for a single major bundle in helical and ring patterns as soon as the flagellum length exceeds the body length. The average swimming speed of cells with a single or two bundles is rather similar, and approximately 50% larger than that of cells of other types of flagellar organization. Considering the various anchoring patterns, rings yield the smallest average swimming speed independent of the type of bundle, followed by helical arrangements, and largest speeds are observed for random anchoring. Hence, a regular pattern provides no advantage in terms of swimming speed compared to random anchoring of flagella, but yields more likely single-bundle configurations.Graphic abstract

Optical Force Measurements Illuminate Dynamics of Escherichia coli in Viscous Media

Escherichia coli and many other bacteria swim through media with the use of flagella, which are deformable helical propellers. When the viscosity of media is increased, a peculiar phenomenon can be observed in which the organism's motility appears to improve. This improvement in the cell's swimming speed has previously been explained by modified versions of resistive force theory (RFT) which accounts for the interaction between flagella and molecules associated with the viscosity increase. Using optical tweezers, we measure the swimming force of individual E. coli in solutions of varying viscosity. By using probe-free force measurements, we are able to quantitatively validate and compare RFT and proposed modifications to the theory. We find that the force produced by the flagellum remains relatively constant even when the viscosity of the medium increases by approximately two orders of magnitude, contrary to predictions of RFT and variants. We conclude that the observed swimming forces can be explained by allowing the flagella geometry to deform as the viscosity of the surrounding medium is increased.

Gyrotactic suppression and emergence of chaotic trajectories of swimming particles in three-dimensional flows

We study the effects of imposed {three-dimensional flows} on the trajectories and mixing of gyrotactic swimming micro-organisms, and identify new phenomena not seen in flows restricted to two dimensions. Through numerical simulation of Taylor--Green and ABC flows, we explore the role that the flow and the cell shape play in determining the long-term configuration of the cells' trajectories, which often take the form of multiple sinuous and helical `plume-like' structures, even in the chaotic ABC flow. This gyrotactic suppression of Lagrangian chaos persists even in the presence of random noise. Analytical solutions for a number of cases reveal the how plumes form and the nature of the competition between torques acting on individual cells. \note{Furthermore, studies of Lyapunov exponents reveal that as the ratio of cell swimming speed relative to the flow speed increases from zero, the initial chaotic trajectories are first suppressed and then give way to a second unexpected window of chaotic trajectories at speeds greater than unity, before suppression of chaos at high relative swimming speeds.

Density- and trait-mediated effects of a parasite and a predator in a tri-trophic food web.

1. Despite growing interest in ecological consequences of parasitism in food webs, relatively little is known about effects of parasites on long-term population dynamics of non-host species or about whether such effects are density or trait mediated.2. We studied a tri-trophic food chain comprised of (i) a bacterial basal resource (Serratia fonticola), (ii) an intermediate consumer (Paramecium caudatum), (iii) a top predator (Didinium nasutum) and (iv) a parasite of the intermediate consumer (Holospora undulata). A fully factorial experimental manipulation of predator and parasite presence/absence was combined with analyses of population dynamics, modelling and analyses of host (Paramecium) morphology and behaviour.3. Predation and parasitism each reduced the abundance of the intermediate consumer (Paramecium), and parasitism indirectly reduced the abundance of the basal resource (Serratia). However, in combination, predation and parasitism had non-additive effects on the abundance of the intermediate consumer, as well as on that of the basal resource. In both cases, the negative effect of parasitism seemed to be effaced by predation.4. Infection of the intermediate consumer reduced predator abundance. Modelling and additional experimentation revealed that this was most likely due to parasite reduction of intermediate host abundance (a density-mediated effect), as opposed to changes in predator functional or numerical response.5. Parasitism altered morphological and behavioural traits, by reducing host cell length and increasing the swimming speed of cells with moderate parasite loads. Additional tests showed no significant difference in Didinium feeding rate on infected and uninfected hosts, suggesting that the combination of these modifications does not affect host vulnerability to predation. However, estimated rates of encounter with Serratia based on these modifications were higher for infected Paramecium than for uninfected Paramecium.6. A mixture of density-mediated and trait-mediated indirect effects of parasitism on non-host species creates rich and complex possibilities for effects of parasites in food webs that should be included in assessments of possible impacts of parasite eradication or introduction.

NUMERICAL STUDY OF MIXED BIOCONVECTION IN POROUS MEDIA SATURATED WITH NANOFLUID CONTAINING OXYTACTIC MICROORGANISMS

A mathematical model has been developed for steady-state boundary layer flow of a nanofluid past an impermeable vertical flat wall in a porous medium saturated with a water-based dilute nanofluid containing oxytactic microorganisms. The nanoparticles were distributed sufficiently to permit bioconvection. The product of chemotaxis constant and maximum cell swimming speed was assumed invariant. Using appropriate transformations, the partial differential conservation equations were non-dimensionalised to yield a quartet of coupled, non-linear ordinary differential equations for momentum, energy, nanoparticle concentration and dimensionless motile microorganism density, with appropriate boundary conditions. The dominant parameters emerging in the normalised model included the bioconvection Lewis number, bioconvection Peclet number, Lewis number, buoyancy ratio parameter, Brownian motion parameter, thermophoresis parameter, local Darcy-Rayleigh number and the local Peclet number. An implicit numerical solution to the well-posed two-point non-linear boundary value problem is developed using the well-tested and highly efficient Keller box method. Computations are validated with the Nakamura tridiagonal implicit finite difference method, demonstrating excellent agreement. Nanoparticle concentration and temperature were found to be generally enhanced through the boundary layer with increasing bioconvection Lewis number, whereas dimensionless motile microorganism density was only increased closer to the wall. Temperature, nanoparticle concentration and dimensionless motile microorganism density were all greatly increased with a rise in Peclet number. Temperature and dimensionless motile microorganism density were reduced with increasing buoyancy parameter, whereas nanoparticle concentration was increased. The present study found applications in the fluid mechanical design of microbial fuel cell and bioconvection nanotechnological devices.

Dynamics of swimming bacteria: Transition to directional order at high concentration

At high cell concentrations, bacterial suspensions are known to develop a state of collective swimming (the "zooming bionematic phase," or ZBN) characterized by transient, recurring regions of coordinated motion greatly exceeding the size of individual cells. Recent theoretical studies of semidilute suspensions have suggested that long-range hydrodynamic interactions between swimming cells are responsible for long-wavelength instabilities that lead to these patterns, while models appropriate for higher concentrations have suggested that steric interactions between elongated cells play an important role in the self-organization. Using particle imaging velocimetry in well-defined microgeometries, we examine the statistical properties of the transition to the ZBN in suspensions of Bacillus subtilis, with particular emphasis on the distribution of cell swimming speeds and its correlation with orientational order. This analysis reveals a nonmonotonic relationship between mean cell swimming speed and cell concentration, with a minimum occurring near the transition to the ZBN. Regions of high orientational order in the ZBN phase have locally high swimming speeds, while orientationally disordered regions have lower speeds. A model for steric interactions in concentrated suspensions and previous observations on the kinetics of flagellar rebundling associated with changes in swimming direction are used to explain this observation. The necessity of incorporating steric effects on cell swimming in theoretical models is emphasized.

A circadian clock regulates sensitivity to cadmium in Paramecium tetraurelia

The heavy metal cadmium is a dangerous environmental toxicant that can be lethal to humans and other organisms. This paper demonstrates that cadmium is lethal to the ciliated protozoan Paramecium tetraurelia and that a circadian clock modulates the sensitivity of the cells to cadmium. Various concentrations of cadmium were shown to increase the number of behavioral responses, decrease the swimming speed of cells, and generate large vacuole formation in cells prior to death. Cells were grown in either 12-h light/12-h dark or constant dark conditions exhibited a toxic response to 500 microM CdCl(2); the sensitivity of the response was found to vary with a 24-h periodicity. Cells were most sensitive to cadmium at circadian time 0 (CT0), while they were least sensitive in the early evening (CT12). This rhythm persisted even when the cells were grown in constant dark. The oscillation in cadmium sensitivity was shown to be temperature-compensated; cells grown at 18 degrees C and 28 degrees C had a similar 24-h oscillation. Finally, phase shifting experiments demonstrated a phase-dependent response to light. These data establish the criteria required for a circadian clock and demonstrate that P. tetraurelia possesses a circadian-influenced regulatory component of the cadmium toxic response. The Paramecium system is shown to be an excellent model system for the study of the effects of biological rhythms on heavy metal toxicity.

Electrokinesis is a microbial behavior that requires extracellular electron transport

We report a previously undescribed bacterial behavior termed electrokinesis. This behavior was initially observed as a dramatic increase in cell swimming speed during reduction of solid MnO(2) particles by the dissimilatory metal-reducing bacterium Shewanella oneidensis MR-1. The same behavioral response was observed when cells were exposed to small positive applied potentials at the working electrode of a microelectrochemical cell and could be tuned by adjusting the potential on the working electrode. Electrokinesis was found to be different from both chemotaxis and galvanotaxis but was absent in mutants defective in electron transport to solid metal oxides. Using in situ video microscopy and cell tracking algorithms, we have quantified the response for different strains of Shewanella and shown that the response correlates with current-generating capacity in microbial fuel cells. The electrokinetic response was only exhibited by a subpopulation of cells closest to the MnO(2) particles or electrodes. In contrast, the addition of 1 mM 9,10-anthraquinone-2,6-disulfonic acid, a soluble electron shuttle, led to increases in motility in the entire population. Electrokinesis is defined as a behavioral response that requires functional extracellular electron transport and that is observed as an increase in cell swimming speeds and lengthened paths of motion that occur in the proximity of a redox active mineral surface or the working electrode of an electrochemical cell.

Analysis of bacterial random motility in a porous medium using magnetic resonance imaging and immunomagnetic labeling.

In this study, we demonstrate the application of immunomagnetic labeling and magnetic resonance imaging (MRI) for the noninvasive visualization of changes in bacterial density distributions as a function of time in a water-saturated porous medium. Magnetite particles (50-60 nm diameter) were attached via a monoclonal antibody to the surface' of Escherichia coli K12 NR50 cells. The cells maintained their motility after labeling, and the presence of the magnetite did not significantly alter cell swimming speed. Diffusive migration for both motile and nonmotile E. coli through a porous medium with a particle-diameter distribution of 250-300 microm was compared. The movement of the nonmotile cells was described by an effective random motility coefficient consistent with Brownian diffusion of a nonmotile colloid. An effective coefficient determined a priori from bacterial motility in an aqueous medium and properties of the porous medium adequately described the movement of the motile cells. The ability to noninvasively visualize bacterial concentrations within an opaque porous medium in real time provides researchers with a powerful tool for studying bacterial transport in porous media. This is important for understanding the impact of bacterial transport on remediation strategies for environmental cleanup of polluted groundwater.

An electrostatic model of the bacterial flagellar motor

The rotation of bacterial flagella is driven by the difference in electrochemical potential for protons between the periplasmic and the cytoplasmic space. This requires a coupling between a flow of protons across the cell membrane and the rotation of a macromolecular complex representing the rotor of the bacterial flagellar motor. The mechanism of coupling is not as yet understood. A model for the motor is described based on electrostatic interaction between fixed charges on the circumference of the rotor and protons moving through channels in the membrane. The design of the model takes into account the presently known structural and functional aspects of the motor. It can successfully simulate a large number of diverse experimental data with one appropriately adjusted set of parameter values. This also includes data which other models fail to account for quantitatively, such as the stoichiometry of protons per revolution and the dependence of the swimming speed of cells on the pH in the suspending medium.

Multiple factors underlying the maximum motility of Escherichia coli as cultures enter post-exponential growth

Motility and chemotaxis allow cells to move away from stressful microenvironments. Motility of Escherichia coli in batch cultures, as measured by cell swimming speed, was low in early-exponential-phase cells, peaked as the cells entered post-exponential phase, and declined into early stationary phase. Transcription from the flhB operon and synthesis of flagellin protein similarly peaked in late exponential and early post-exponential phases, respectively. The increase in swimming speed between early-exponential and post-exponential phases was correlated with twofold increases in both flagellar length and flagellar density per cell volume. This increased investment in flagella probably reflects the increased adaptive value of motility in less favorable environments. The decrease in speed between post-exponential and stationary phases was correlated with a threefold decrease in torque produced by the flagellar motors and presumably reflects decreased proton motive force available to stationary-phase cells.

Swimming changes and chemotactic responses in Rhodobacter sphaeroides do not involve changes in the steady state membrane potential or respiratory electron transport

The effect of the chemoattractants acetate, propionate, pyruvate and potassium on the steady state membrane potential and the rate of respiratory electron transport was examined in Rhodobacter sphaeroides. Under conditions where the membrane potential makes up most of the proton motive force, all attractants increased the steady state membrane potential in the dark. However, only potassium was able to consistently increase the steady state membrane potential in the light. All of the attractants were able to increase the mean swimming speed of cells at high light levels for prolonged periods, showing that the increase in mean speed cannot be caused by an increase in the membrane potential. Measurement of chemotaxis in wells showed a positive response to propionate in the dark, at low light (10 – 20 μmol photons m−2 s−1) and in high light (700 μmol photons m−2 s−1). The demonstration of chemotaxis in the dark precluded any direct role of photosynthetic electron transport in chemotaxis. The response at high light, where there was no induced change in membrane potential, confirmed that the steady state membrane potential was not involved in tactic signalling. Acetate, propionate and pyruvate at appropriate concentrations stimulated the rate of respiratory electron transport in the dark, while potassium had no effect. In low light, all three organic acids caused a significant stimulation of respiratory electron transport but potassium caused a significant inhibition. In high light, only pyruvate and propionate caused a significant increase in the rate of respiratory electron transport. Chemoattractants can therefore produce a significant positive tactic response when respiratory electron transport is either unaffected or inhibited. These data show that neither a change in the bulk steady state membrane potential nor the rate of respiratory electron transport causes either the change in swimming behaviour or acts as a chemotactic signal.

Na+-driven flagellar motors of an alkalophilic Bacillus strain YN-1.

Flagellar motors of some alkalophilic Bacillus strains have been suggested to be powered by the electrochemical potential gradient of Na+, namely the (formula: see text) (Hirota, N., Kitada, M., and Imae, Y. (1981) FEBS Lett. 132, 278-280). In the present study, we quantitatively measured the (formula: see text) and motility of one of the strains, YN-1. Swimming speed of YN-1 cells increased linearly with a logarithmic increase of Na+ concentration in the medium up to 100 mM. The intracellular Na+ concentration and the membrane potential of the cell were about 30 mM and -170 mV, respectively, and stayed constant irrespective of Na+ concentration in the medium. Thus, the swimming speed changed as a function of the chemical potential difference of Na+ across the cell membrane. When the membrane potential of YN-1 cells was decreased by a combination of valinomycin and various concentrations of K+ in the medium, the swimming speed of the cells decreased linearly and reached zero at around -90 mV. Under the condition, the intracellular Na+ concentration stayed constant. Thus, the membrane potential was also a determinant of the swimming speed. Furthermore, the chemical potential of Na+ and the membrane potential were found to be equivalent as the energy source for motility. Therefore, it is concluded that the (formula: see text) is the energy source for the flagellar motors of YN-1 cells. Threshold value of the (formula: see text) for motility was about -100 mV.