The shape of motile cells is determined by many dynamic processes spanning several orders of magnitude in space and time, from local polymerization of actin monomers at subsecond timescales to global, cell-scale geometry that may persist for hours. Understanding the mechanism of shape determination in cells has proved to be extremely challenging due to the numerous components involved and the complexity of their interactions. Here we harness the natural phenotypic variability in a large population of motile epithelial keratocytes from fish (Hypsophrys nicaraguensis) to reveal mechanisms of shape determination. We find that the cells inhabit a low-dimensional, highly correlated spectrum of possible functional states. We further show that a model of actin network treadmilling in an inextensible membrane bag can quantitatively recapitulate this spectrum and predict both cell shape and speed. Our model provides a simple biochemical and biophysical basis for the observed morphology and behaviour of motile cells.Cell shape emerges from the interaction of many constituent elements-notably, the cytoskeleton, the cell membrane and cellsubstrate adhesions-that have been studied in great detail at the molecular level 1-3 ; however, the mechanism by which global morphology is generated and maintained at the cellular scale is not understood. Many studies have characterized the morphological effects of perturbing various cytoskeletal and other cellular components (for example, ref. 4); yet, there have been no comprehensive efforts to try to understand cell shape from first principles. Here we address this issue in the context of motile epithelial keratocytes derived from fish skin. Fish keratocytes are among the fastest moving animal cells, and their motility machinery is characterized by extremely rapid molecular dynamics and turnover [5][6][7][8] . At the same time, keratocytes are able to maintain nearly constant speed and direction during movement over many cell lengths. Their shapes, consisting of a bulbous cell body at the rear attached to a broad, thin lamellipodium at the front and sides, are simple, stereotyped and notoriously temporally persistent 9,10 . The molecular dynamism of these cells, combined with the persistence of their global shape and behaviour, make them an ideal model system for investigating the mechanisms of cell shape determination.The relative simplicity of keratocytes has inspired extensive experimental and theoretical investigations into this cell type 5-17 , considerably advancing the understanding of cell motility. A notable example is the graded radial extension (GRE) model 12 , which was an early attempt to link the mechanism of motility at the molecular level with overall cell geometry. The GRE model proposed that local cell extension (either protrusion or retraction) occurs perpendicular to the cell edge, and that the magnitude of this extension is graded from a maximum near the cell midline to a minimum towards the sides. Although this phenomenological model has been shown experimentally ...

Uropathogenic Escherichia coli (UPEC) are capable of forming complex intracellular bacterial communities (IBC) within the superficial umbrella cells of the bladders of C3H and BALB͞c mice. By using time-lapse fluorescence videomicroscopy to observe infected mouse bladder explants, we discovered that IBCs formed by uropathogenic E. coli progressed through four distinct developmental stages that differed with respect to growth rate, bacterial length, colony organization, motility, and its eventual dispersal. In the first phase, bacteria in the IBC were nonmotile, rod shaped, and grew rapidly in loosely organized colonies free in the cytoplasm of the bladder superficial umbrella cells. In the second phase, the loose collection of bacteria in the IBC matured into a slower growing, highly organized biofilm-like community consisting of coccoid bacteria that ultimately filled most of the cytoplasm. In the third phase, bacteria in the biofilm-like state in the IBC switched to a motile rod-shaped phenotype allowing detachment from the community and eventual fluxing out of the host cell. During the fourth phase, the bacteria filamented. Filamentation appeared to be in response to a Toll-like receptor 4-mediated innate defense mechanism. Bacteria that fluxed out of the superficial umbrella cells were able to reenter the IBC developmental cascade but with slower kinetics and ultimately a quiescent reservoir was established. Intracellular growth and filamentation provided an advantage to the bacteria in evading infiltrating polymorphonuclear leukocytes. This work has developed a technique to observe live infected organs and revealed a complex differentiation pathway that facilitates bacterial persistence in the urinary tract.

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Tracking of fluorescently labeled chromosomal loci in live bacterial cells reveals a robust scaling of the mean square displacement (MSD) as τ0.39. Brownian dynamics simulations show that this anomalous behavior cannot be fully accounted for by the classic Rouse or reptation models for polymer dynamics. Instead, the observed motion arises from the characteristic relaxation of the Rouse modes of the DNA polymer within the viscoelastic environment of the cytoplasm. To demonstrate these physical effects, we exploit our general analytical solution of the subdiffusive scaling for a monomer in a polymer embedded in a viscoelastic medium. The time-averaged and ensemble-averaged MSD of chromosomal loci exhibit ergodicity, and the velocity autocorrelation function is negative at short time lags. These observations are most consistent with fractional Brownian motion and rule out a continuous time random walk model as an explanation for anomalous motion in vivo.

The dynamic behaviour of actin filaments has been directly observed in living, motile cells using fluorescence photoactivation. In goldfish epithelial keratocytes, the actin microfilaments in the lamellipodium remain approximately fixed relative to the substrate as the cell moves over them, regardless of cell speed. The rate of turnover of actin subunits in the lamellipodium is remarkably rapid. Cell movement is directly and tightly coupled to the formation of new actin filaments at the leading edge.

Summary Many studies have focused on the mechanisms underlying length and width determination in rod-shaped bacteria. Here, we focus instead on cell surface area to volume ratio (SA/V), and demonstrate that SA/V homeostasis underlies size determination. We propose a model whereby the instantaneous rates of surface and volume synthesis both scale with volume. This model predicts that these relative rates dictate SA/V and that cells approach a new steady-state SA/V exponentially, with a decay constant equal to the volume growth rate. To test this, we exposed diverse bacterial species to sublethal concentrations of a cell wall biosynthesis inhibitor and observed dose-dependent decreases in SA/V. Furthermore, this decrease was exponential and had the expected decay constant. The model also quantitatively describes SA/V alterations induced by other chemical, nutritional, and genetic perturbations. We additionally present evidence for a surface material accumulation threshold underlying division, sensitizing cell length to changes in SA/V requirements.

Keratocytes are fast-moving cells in which adhesion dynamics are tightly coupled to the actin polymerization motor that drives migration, resulting in highly coordinated cell movement. We have found that modifying the adhesive properties of the underlying substrate has a dramatic effect on keratocyte morphology. Cells crawling at intermediate adhesion strengths resembled stereotypical keratocytes, characterized by a broad, fan-shaped lamellipodium, clearly defined leading and trailing edges, and persistent rates of protrusion and retraction. Cells at low adhesion strength were small and round with highly variable protrusion and retraction rates, and cells at high adhesion strength were large and asymmetrical and, strikingly, exhibited traveling waves of protrusion. To elucidate the mechanisms by which adhesion strength determines cell behavior, we examined the organization of adhesions, myosin II, and the actin network in keratocytes migrating on substrates with different adhesion strengths. On the whole, our results are consistent with a quantitative physical model in which keratocyte shape and migratory behavior emerge from the self-organization of actin, adhesions, and myosin, and quantitative changes in either adhesion strength or myosin contraction can switch keratocytes among qualitatively distinct migration regimes.

The Gram-positive bacterium Listeria monocytogenes is a facultative intracellular pathogen capable of rapid movement through the host cell cytoplasm. The biophysical basis of the motility of L. monocytogenes is an interesting question in its own right, the answer to which may shed light on the general processes of actin-based motility in cells. Moving intracellular bacteria display phase-dense 'comet tails' made of actin filaments, the formation of which is required for bacterial motility. We have investigated the dynamics of the actin filaments in the comet tails using the technique of photoactivation of fluorescence, which allows monitoring of the movement and turnover of labelled actin filaments after activation by illumination with ultraviolet light. We find that the actin filaments remain stationary in the cytoplasm as the bacterium moves forward, and that length of the comet tails is linearly proportional to the rate of movement. Our results imply that the motile mechanism involves continuous polymerization and release of actin filaments at the bacterial surface and that the rate of filament generation is related to the rate of movement. We suggest that actin polymerization provides the driving force for bacterial propulsion.