Chiral self-propulsion of growing bacterial macrofibers on a solid surface.

Supercoiling motions that accompany the growth of bacterial macrofibers (multicellular filamentous structures formed in B. subtilis by cell division without separation) are responsible for rolling, pivoting, and walking of fibers on a surface. Fibers possess a fulcrum about which they pivot and step in a chiral manner; forces and torques associated with cell growth, when blocked by friction, result in self-propulsion. The elastic engine that drives macrofiber motions generates torques estimated as microdyn cm and femtowatts of power; optical trapping studies yield a first direct measurement of the Young's modulus of the bacterial cell wall, the engine's "working fluid," of ca. 0.05 GPa.

A new mathematical approach predicts individual cell growth behavior using bacterial population information.

A theoretical methodology has been developed for studying the growth kinetics of bacterial cells. It utilizes the steady-state cell length distribution in a bacterial population to predict the dependency of growth and division rates on cell length and age. The mathematical model has been applied to the analysis of two bacterial populations, a wild-type strain of Bacillus subtilis, and a minicell-producing strain that carries the divIVB1 mutation. The results show that our model describes the wild-type population very well and that the assumptions typically used in traditional methods are unrealistic. In the case of the minicell-producing mutant we find evidence that the rate of cell division must be a function not only of cell size but also of cell age.

Organized cell swimming motions in Bacillus subtilis colonies: patterns of short-lived whirls and jets.

The swimming motions of cells within Bacillus subtilis colonies, as well as the associated fluid flows, were analyzed from video films produced during colony growth and expansion on wet agar surfaces. Individual cells in very wet dense populations moved at rates between 76 and 116 microm/s. Swimming cells were organized into patterns of whirls, each approximately 1,000 microm2, and jets of about 95 by 12 microm. Whirls and jets were short-lived, lasting only about 0.25 s. Patterns within given areas constantly repeated with a periodicity of approximately 1 s. Whirls of a given direction became disorganized and then re-formed, usually into whirls moving in the opposite direction. Pattern elements were also organized with respect to one another in the colony. Neighboring whirls usually turned in opposite directions. This correlation decreased as a function of distance between whirls. Fluid flows associated with whirls and jets were measured by observing the movement of marker latex spheres added to colonies. The average velocity of markers traveling in whirls was 19 microm/s, whereas those traveling in jets moved at 27 microm/s. The paths followed by markers were aligned with the direction of cell motion, suggesting that cells create flows moving with them into whirls and along jets. When colonies became dry, swimming motions ceased except in regions close to the periphery and in isolated islands where cells traveled in slow whirls at about 4 microm/s. The addition of water resulted in immediate though transient rapid swimming (> 80 microm/s) in characteristic whirl and jet patterns. The rate of swimming decreased to 13 microm/s within 2 min, however, as the water diffused into the agar. Organized swimming patterns were nevertheless preserved throughout this period. These findings show that cell swimming in colonies is highly organized.

Control-parameter-dependent Swift-Hohenberg equation as a model for bioconvection patterns.

We consider a complex Swift-Hohenberg equation with control-parameter-dependent coefficients and use it as a model to describe dynamical features seen in an experimental bacterial bioconvection pattern. In particular, we give numerical results showing the development of a phase-unstable pattern behind a moving front.

A complex pattern of traveling stripes is produced by swimming cells of Bacillus subtilis.

Motile cells of Bacillus subtilis inadvertently escaped from the surface of an agar disk that was surrounded by a fluid growth medium and formed a migrating population in the fluid. When viewed from above, the population appeared as a cloud advancing unidirectionally into the fresh medium. The cell population became spontaneously organized into a series of stripes in a region behind the advancing cloud front. The number of stripes increased progressively until a saturation value of stripe density per unit area was reached. New stripes arose at a fixed distance behind the cloud front and also between stripes. The spacing between stripes underwent changes with time as stripes migrated towards and away from the cloud front. The global pattern appeared to be stretched by the advancing cloud front. At a time corresponding to approximately two cell doublings after pattern formation, the pattern decayed, suggesting that there is a maximum number of cells that can be maintained within the pattern. Stripes appear to consist of high concentrations of cells organized in sinking columns that are part of a bioconvection system. Their behavior reveals an interplay between bacterial swimming, bioconvection-driven fluid motion, and cell concentration. A mathematical model that reproduces the development and dynamics of the stripe pattern has been developed.

Patterns of reporter gene expression in the phase diagram of Bacillus subtilis colony forms.

Factors governing the morphogenesis of Bacillus subtilis colonies as well as the spatial-temporal pattern of expression of a reporter gene during colony development were examined by systematically varying the initial nutrient levels and agar concentrations (wetness), the relative humidity throughout incubation, and the genotype of the inoculum. A relationship between colony form and reporter gene expression pattern was found, indicating that cells respond to local signals during colony development as well as global conditions. The most complex colony forms were produced by motile strains grown under specific conditions such that cells could swim within the colony but not swarm outward uniformly from the colony periphery. The wetness of the growth environment was found to be a critical factor. Complex colonies consisted of structures produced by growth of finger-like projections that expanded outward a finite distance before giving rise to a successive round of fingers that behaved in a similar fashion. Finger tip expansion occurred when groups of cells penetrated the peripheral boundary. Although surfactin production was found to influence similar colony forms in other B. subtilis strains, the strains used here to study reporter gene expression do not produce it. The temporal expression of a reporter gene during morphogenesis of complex colonies by motile strains such as M18 was investigated. Expression arose first in cells located at the tips of fingers that were no longer expanding. The final expression pattern obtained reflects the developmental history of the colony.

Mechanics of bacterial macrofiber initiation.

The twisting and writhing during growth of single-cell filaments of Bacillus subtilis which lead to macrofiber formation was studied in both left- and right-handed forms of strains FJ7 and RHX. Filament bending, touching, and loop formation (folding), followed by winding up into a double-strand fiber, were documented. Subsequent folds that produced multistrandedness were also examined. The rate of loop rotation during winding up was measured for 26 loops from 16 clones. In most cases, the first loop formed turned at a lower rate than those produced by the following cycles of folding. The sequence of folding topologies differed in FJ7 and RHX strains and in left- versus right-handed structures. Right-handed FJ7 routinely gave rise to four-stranded helices at the second fold, whereas left-handed FJ7 and both left-handed and right-handed forms of RHX made structures with predominantly two double-stranded helical regions. Left-handed RHX structures frequently produced second folds within the initial loop itself, resulting in T- or Y-shaped fibers. Sixteen cases in which the initial touch of a filament to itself produced a loop that snapped open before it could wind up into a double-strand fiber were found. The snap motions were used to obtain estimates of the forces generated by helical growth of single filaments and to investigate theoretical models involving the material properties of cell filaments. In general, the mechanical behavior of growing single-cell filaments and fibers consisting of two-, three-, or four-strand helices was similar to that described for larger, mature, multifilament macrofibers. The behavior of multicellular macrofibers can be understood, therefore, in terms of individual cell growth.

Patterns of gene expression in Bacillus subtilis colonies.

Bacillus subtilis 5:7, a derivative of macrofiber-producing strain FJ7, carries the lacZ reporter gene within Tn917 at an unknown location in the host genome. Expression of the host gene carrying lacZ within colonies of 5:7 was observed by examining growth under different conditions in the presence of 5-bromo-4-chloro-3-indolyl-beta-D-galactopyranoside (X-Gal). At a high plating density small colonies arose that expressed the host gene early and throughout the colony, whereas at a low density large colonies were produced that expressed the host gene late in development and only in cells forming a ring pattern close to the colony periphery. A highly regulated spatial and temporal gene expression pattern was observed in growth from cross-streaks, suggesting that gene expression is responsive to concentration gradient fields established by neighboring growth. Colonies cultured on agar blocks revealed that expression was governed by depletion of a medium component and also by the geometry of the substrate upon which the colonies grew. At least three factors influenced the control of expression: (i) the concentration of a diffusible component of the medium exhausted by cell growth, (ii) a spatial-temporal factor related to growth within the colony, and (iii) the geometry of the growth substrate.

Production and initial characterization of bionites: materials formed on a bacterial backbone.

The addition of soluble metal salts of calcium, iron, or copper to cultures of Bacillus subtilis grown in web form nucleated precipitation at the surface of the bacterial cell walls. The mineralized cell filaments can be drawn into a fiber that when dried consists of a bacterial thread backbone carrying an inorganic solid. The ratios of organic to inorganic components (by weight) in the stiff brittle materials, called bionites, were: 1.08 for fe(2)bactonite, 1.8 for calbactonite, 2.3 for fe(3)bactonite, and 5 for cu(2)bactonite. X-ray photoelectron spectra suggest that the fe(3)bactonite contains Fe2O3, that calbactonite contains calcium carbonate, and that cu(2)bactonite contains CuCl (Cu I). Acid-base reactions of the bionites are compatible with these identifications. Burning out the organic phase of the febactonites yields a black magnetic material, presumably magnetite. The burnt cubactonite appears to yield elemental Cu(s). Calbactonite upon hydration was able to retain a genetically engineered enzymatic activity.

Bacterial macrofibres: the morphogenesis of complex multicellular bacterial forms.

Bacterial macrofibres are highly ordered multicellular, helically twisted structures that provide a unique opportunity for studying fundamental growth processes and morphogenesis in a procaryotic model. The complex fibres arise, starting either from a single spore or a vegetative cell by the deformation of individual cell shape from cylindrical to helical and the folding and plying of chains of cells into multicellular twisted structures. The dynamics of fibre morphogenesis can be traced to hierarchical interactions beginning with the assembly of cell-wall polymers. Both genetic and biomechanical factors govern the formation and heritability of macrofibre twist states, which can range over the entire spectrum from maximum left- to maximum right-handedness. Forces that arise during growth influence individual cells and their interactions with other cells. Morphogenesis results from the manner in which the cell-wall materials respond to these and other forces. Significant parameters governing response to force are cell wall geometry, visco-elasticity and anisotrophy.

Mechanical properties of peptidoglycan as determined from bacterial thread.

Experiments are described in which the tensile strength, the extensibility and the initial Young's modulus of bacterial cell wall have been determined as functions of relative humidity in the range 11-98%. Data on stress relaxation and recovery are also given. Standard fibre-measuring technique has been used on 'bacterial thread', made from a cell-separation-suppressed mutant of Bacillus subtilis. The data show that peptidoglycan, the load bearing polymer in the cell wall, behaves very much like other viscoelastic polymers. Its mechanical behaviour when dry is that of a glassy polymer with tensile strength about 300 MPa and modulus about 20 GPa. When wet, it is weaker and much less stiff with tensile strength about 3 M Pa and modulus 10 M Pa. The relaxation data indicate a wide spectrum of relaxation times. The results are discussed in terms of the structure of peptidoglycan and its orientation in the bacterial cell wall. The way in which mechanical behaviour depends strongly on humidity is compared with that of other biopolymers in terms of possible hydrogen-bond density and the ordering of water molecules. The possibility of a well-defined glass transition is briefly examined.

Cell wall mechanical properties as measured with bacterial thread made from Bacillus subtilis.

Engineering approaches used in the study of textile fibers have been applied to the measurement of mechanical properties of bacterial cell walls by using the Bacillus subtilis bacterial thread system. Improved methods have been developed for the production of thread and for measuring its mechanical properties. The best specimens of thread produced from cultures of strain FJ7 grown in TB medium at 20 degrees C varied in diameter by a factor of 1.09 over a 30-mm thread length. The stress-strain behavior of cell walls was determined over the range of relative humidities between 11 and 98%. Measurements of over 125 specimens indicated that cell wall behaved like other viscoelastic polymers, both natural and man-made, exhibiting relaxation under constant elongation and recovery upon load removal. This kinetic behavior and also the cell wall strength depended greatly on humidity. The recovery from extension observed after loading even up to a substantial fraction of the breaking load indicated that the properties measured were those of cell wall material rather than of behavior of the thread assemblage. Control experiments showed that neither drying of thread nor the length of time it remained dry before testing influenced the mechanical properties of the cell walls. Specimens drawn from TB medium and then washed in water and redrawn were found to be stiffer and stronger than controls not washed. However, tensile properties were not changed by exposure of cells to lysozyme before thread production. This suggests that glycan backbones are not arranged along the length of the cell cylinder. The strength of the cell wall in vivo was estimated by extrapolation to 100% relative humidity to be about 3 N/mm2. Walls of this strength would be able to bear a turgor pressure of 6 atm (ca. 607.8 kPa), but if the increase in strength of water-washed threads was appropriate, the figure could be 24 atm (ca. 2,431.2 kPa).

Regulation of Bacillus subtilis macrofiber twist development by D-alanine.

Twist states of Bacillus subtilis macrofibers were found to vary as a function of the concentration of D-alanine in the medium during growth. L-Alanine in the same concentration range had no effect. Increasing concentrations of D-alanine resulted in structures progressively more right-handed (or less left-handed). All strains examined in this study, including mutants fixed in the left-hand domain as a function of temperature, responded to D-alanine in the same way. All twist states from tight left- to tight right-handedness could be achieved solely by varying the D-alanine concentration. The D-alanine-requiring macrofiber strain 2C8, which carries a genetic defect (dal-1) in the alanine racemase, behaved in a similar fashion. The combined effects of D-alanine and ammonium sulfate (a factor known to influence macrofiber twist development in the leftward direction) were examined by using both strains able to undergo temperature-induced helix hand inversion and others incapable of doing so. In all cases, the effects of D-alanine predominated. A synergism was found in which increasing the concentration of ammonium sulfate in the presence of D-alanine enhanced the right-factor activity of the latter. A D-alanine pulse protocol provided evidence that structures undergo a transient inversion indicative of "memory." Chloramphenicol treatment inhibited the establishment of memory in the D-alanine-induced right to left inversion, supporting the existence of a "left twist protein(s)" that is required for the attainment of left-handed twist states. Chemical analysis of cell walls obtained from right- and left-handed macrofibers produced in the presence and absence of D-alanine, respectively, failed to reveal twist state-specific differences in the overall composition of either peptidoglycan or wall teichoic acids.

Regulation of Bacillus subtilis macrofiber twist development by D-cycloserine.

The effect of D-cycloserine on the establishment of twist states in Bacillus subtilis macrofibers was examined. Macrofibers produced in the presence of the drug differed in twist compared with those produced in its absence. The degree of twist alteration was dependent on the concentration of D-cycloserine in the growth medium. Macrofibers of different twist states representative of the entire twist spectrum from tight left-handedness to tight right-handedness were produced in strains FJ7 and C6D in four different ways: by control of the concentration of D-alanine, magnesium sulfate, or ammonium sulfate in the growth medium or by control of the growth temperature. The structures so produced were used to determine the effect of D-cycloserine on twist establishment starting from different twist states throughout the twist spectrum. In all but one case, twist resulting from growth in the presence of D-cycloserine was further towards the left-hand end of the twist spectrum than that produced in its absence, the exception being the unusual left-handed twist states produced in strains C6D and the closely related RHX 11S at high D-alanine concentrations described here. Studies of the interaction between D-cycloserine and D-alanine both used alone and used independently with the other twist-modifying systems (temperature, magnesium sulfate, and ammonium sulfate) revealed that changes in twist resulting from D-cycloserine were always in the opposite direction from those resulting from D-alanine. This antagonism suggests that the biochemical mechanism of twist regulation involves the metabolism of peptidoglycan, particularly reactions involving D-alanine or the dipeptide D-alanyl-D-alanine. This antagonism suggests that the biochemical mechanism of twist regulation involves the metabolism of peptidoglycan, particularly reactions involving D-alanine or the dipeptide D-alanyl-D-alanine. The possibility that peptidoglycan cross-linking is involved is discussed.

Twist state phenotypes of Bacillus subtilis macrofibre mutants.

The range of macrofibre twist states that can be achieved by various strains of Bacillus subtilis has been examined as a function of two variables: growth temperature and medium composition. Two graphic techniques were utilized to organize and compare data which pertain to the complex phenotypes of macrofibre mutants. The steady state twist states of strains were determined by qualitative examination. Structures were produced at each of the extremes of temperature and medium composition. Patterns obtained from a graphical representation of these data permitted the strains to be grouped into three classes: (A) strains in which helix-hand inversion could be triggered by nutrition at both 20 degrees or 48 degrees C, and by temperature in either medium; (B) strains in which a more limited set of conditions could induce inversion, and (C) strains which were restricted to either the right- or left-hand domain of twist states. Genetic factors governing these patterns were examined. Quantitative measurements of static twist were obtained over the entire temperature and media range, providing a detailed picture of the dependence of twist upon these environmental influences. Although the macrofibre twist state phenotype (as a function of both variables over the entire range of conditions) of each strain was unique, common features were discernible in all strains. Although some strains were limited to a single helix hand under all conditions studied, none were found to be restricted to a single twist state.

Helix hand fidelity in Bacillus subtilis macrofibers after spheroplast regeneration.

Left- and right-handed Bacillus subtilis macrofibers produced by strains FJ7 and C6D were converted to spheroplasts. Intact cells were regenerated and macrofibers were produced under conditions conducive for production of left- and right-handed structures. The resulting helix hand phenotypes always corresponded to those expected on the basis of the parental genotype.

Characterization of nutrition-induced helix hand inversion of Bacillus subtilis macrofibers.

The kinetics of Bacillus subtilis macrofiber helix hand inversion was examined. Inversion was induced by transfer of structures produced in one medium to another medium. When cultured at 20 degrees C in either medium, the doubling time was approximately 100 min. To establish a baseline, the macrofiber twist state produced in one medium was measured over the same time course during which other macrofibers underwent inversion after transfer to a second medium. The baseline was used to identify the time of inversion initiation: the point at which curves representing changes of twist as a function of time after transfer to the new medium intersected the baseline. Right- and left-handed macrofibers of different twists were produced by growth in mixtures of TB and S1 media. These were used to determine the influence of initial twist on the time course of inversion initiation. In the right to left inversion, a positive correlation was found between initial twist and the time of inversion initiation. The left to right inversion differed, however, in that a constant time was required for inversion initiation regardless of the starting left-handed twist. When a nutritional pulse was administered by transferring fibers from TB to S1 to TB medium, the time to initiation of inversion was found to decrease with incubation of increasing duration in S1 medium. A similar pulse protocol was used in conjunction with inhibitors to examine the protein and peptidoglycan synthesis requirements for the establishment of nutrition-induced memory that leads to initiation of inversion. Nutritionally induced right to left inversion but not left to right inversion required protein synthesis. The addition of trypsin to left-handed macrofibers apparently required, as described previously for the temperature-regulated twist system (D. Favre, D. Karamata, and N. H. Mendelson, J. Bacteriol. 164:1141-1145, 1985), for the production of left-handed twist states in the nutrition system.

Regulation of Bacillus subtilis macrofiber twist development by ions: effects of magnesium and ammonium.

The steady-state twist of Bacillus subtilis macrofibers produced by growth in complex medium was found to vary as a function of the magnesium and ammonium concentrations. Four categories of macrofiber-producing strains that differed in their response to temperature regulation of twist were studied. Macrofibers were cultured in the complex medium TB used in previous experiments and in two derivative media, T (consisting of Bacto Tryptose), in which most strains produced left-handed structures, and Be (consisting of Bacto Beef Extract), in which right-handed macrofibers arose. In nearly all cases, increasing concentrations of magnesium led to the production of macrofibers with greater right-handed twist. Some strains unable to form right-handed structures as a function of temperature could be made to do so by the addition of magnesium. Inversion from right- to left-handedness in strain FJ7 induced by temperature shift-up was blocked by the addition of magnesium. The presence of magnesium during a high-temperature pulse did not block the establishment of "memory," although it delayed the initiation of the transient inversion following return to low temperature. The twist state of macrofibers grown without a magnesium supplement was not instantaneously affected by the addition of magnesium. Such fibers were, however, protected from lysozyme attack and associated relaxation motions. Lysozyme degradation of purified cell walls (both intact and lacking teichoic acid) was also blocked by the addition of magnesium. Ammonium ions influenced macrofiber twist development towards the left-hand end of the twist spectrum. Macrofiber twist produced in mixtures of magnesium and ammonium was strain and medium dependent.(ABSTRACT TRUNCATED AT 250 WORDS)