Learning the space-time phase diagram of bacterial swarm expansion

Significance Most living systems, from individual cells to tissues and swarms, display collective self-organization on length scales that are much larger than those of the individual units that drive this organization. A fundamental challenge is to understand how properties of microscopic components determine macroscopic, multicellular biological function. Our study connects intracellular physiology to macroscale collective behaviors during multicellular development, spanning five orders of magnitude in length and six orders of magnitude in time, using bacterial swarming as a model system. This work is enabled by a high-throughput adaptive microscopy technique, which we combined with genetics, machine learning, and mathematical modeling to reveal the phase diagram of bacterial swarming and that cell–cell interactions within each swarming phase are dominated by mechanical interactions. Coordinated dynamics of individual components in active matter are an essential aspect of life on all scales. Establishing a comprehensive, causal connection between intracellular, intercellular, and macroscopic behaviors has remained a major challenge due to limitations in data acquisition and analysis techniques suitable for multiscale dynamics. Here, we combine a high-throughput adaptive microscopy approach with machine learning, to identify key biological and physical mechanisms that determine distinct microscopic and macroscopic collective behavior phases which develop as Bacillus subtilis swarms expand over five orders of magnitude in space. Our experiments, continuum modeling, and particle-based simulations reveal that macroscopic swarm expansion is primarily driven by cellular growth kinetics, whereas the microscopic swarming motility phases are dominated by physical cell–cell interactions. These results provide a unified understanding of bacterial multiscale behavioral complexity in swarms.

[1]  Hassan Sakhtah,et al.  Convergent evolution of hyperswarming leads to impaired biofilm formation in pathogenic bacteria. , 2013, Cell reports.

[2]  Albert Libchaber,et al.  Fast-moving bacteria self-organize into active two-dimensional crystals of rotating cells. , 2015, Physical review letters.

[3]  T. Terwilliger,et al.  Engineering and characterization of a superfolder green fluorescent protein , 2006, Nature Biotechnology.

[4]  J. Sambrook,et al.  Molecular Cloning: A Laboratory Manual , 2001 .

[5]  David A Weitz,et al.  Osmotic pressure can regulate matrix gene expression in Bacillus subtilis , 2012, Molecular microbiology.

[6]  A. Libchaber,et al.  Particle diffusion in a quasi-two-dimensional bacterial bath. , 2000, Physical review letters.

[7]  D. Volfson,et al.  Biomechanical ordering of dense cell populations , 2008, Proceedings of the National Academy of Sciences.

[8]  I. Aranson,et al.  Concentration dependence of the collective dynamics of swimming bacteria. , 2007, Physical review letters.

[9]  P. Cluzel,et al.  Systematic characterization of maturation time of fluorescent proteins in living cells , 2017, Nature Methods.

[10]  R. Winkler,et al.  Physics of microswimmers—single particle motion and collective behavior: a review , 2014, Reports on progress in physics. Physical Society.

[11]  R. Losick,et al.  Swarming motility in undomesticated Bacillus subtilis , 2003, Molecular microbiology.

[12]  R. Goldstein,et al.  Self-concentration and large-scale coherence in bacterial dynamics. , 2004, Physical review letters.

[13]  H. Swinney,et al.  Collective motion and density fluctuations in bacterial colonies , 2010, Proceedings of the National Academy of Sciences.

[14]  Geoffrey E. Hinton,et al.  Visualizing Data using t-SNE , 2008 .

[15]  Daniel B Kearns,et al.  Swarming motility and the control of master regulators of flagellar biosynthesis , 2012, Molecular microbiology.

[16]  Berthold K. P. Horn,et al.  Determining Optical Flow , 1981, Other Conferences.

[17]  R. Fall,et al.  Rapid Surface Motility in Bacillus subtilis Is Dependent on Extracellular Surfactin and Potassium Ion , 2003, Journal of bacteriology.

[18]  José García de la Torre,et al.  Comparison of theories for the translational and rotational diffusion coefficients of rod‐like macromolecules. Application to short DNA fragments , 1984 .

[19]  Jung Kyung Kim,et al.  Visualization of Biosurfactant Film Flow in a Bacillus subtilis Swarm Colony on an Agar Plate , 2015, International journal of molecular sciences.

[20]  R. Losick,et al.  Cell population heterogeneity during growth of Bacillus subtilis. , 2005, Genes & development.

[21]  Marina Sidortsov,et al.  Role of tumbling in bacterial swarming. , 2017, Physical review. E.

[22]  Yilin Wu,et al.  Noncontact Cohesive Swimming of Bacteria in Two-Dimensional Liquid Films. , 2017, Physical review letters.

[23]  Hannah Jeckel,et al.  Vibrio cholerae Combines Individual and Collective Sensing to Trigger Biofilm Dispersal , 2017, Current Biology.

[24]  J. Dunkel,et al.  Fluid dynamics and noise in bacterial cell–cell and cell–surface scattering , 2011, Proceedings of the National Academy of Sciences.

[25]  F. Weissing,et al.  Density of founder cells affects spatial pattern formation and cooperation in Bacillus subtilis biofilms , 2014, The ISME Journal.

[26]  J. Michiels,et al.  Quorum sensing and swarming migration in bacteria. , 2004, FEMS microbiology reviews.

[27]  Benjamin Pfaff,et al.  Free And Moving Boundary Problems , 2016 .

[28]  Gil Ariel,et al.  Effect of Cell Aspect Ratio on Swarming Bacteria. , 2017, Physical review letters.

[29]  Yilin Wu,et al.  Osmotic pressure in a bacterial swarm. , 2014, Biophysical journal.

[30]  Adrian Daerr,et al.  Bacillus subtilis Swarmer Cells Lead the Swarm, Multiply, and Generate a Trail of Quiescent Descendants , 2017, mBio.

[31]  Henrik Jönsson,et al.  Self-Organization in High-Density Bacterial Colonies: Efficient Crowd Control , 2007, PLoS biology.

[32]  Raimo Hartmann,et al.  Dynamic biofilm architecture confers individual and collective mechanisms of viral protection , 2017, Nature Microbiology.

[33]  Daniel B. Kearns,et al.  Plasmid-Encoded ComI Inhibits Competence in the Ancestral 3610 Strain of Bacillus subtilis , 2013, Journal of bacteriology.

[34]  Nico Stuurman,et al.  Computer Control of Microscopes Using µManager , 2010, Current protocols in molecular biology.

[35]  H. H. Wensink,et al.  Meso-scale turbulence in living fluids , 2012, Proceedings of the National Academy of Sciences.

[36]  F. Vermolen,et al.  A comparison of numerical models for one-dimensional Stefan problems , 2006 .

[37]  Kerwyn Casey Huang,et al.  Regulation of microbial growth by turgor pressure. , 2018, Current opinion in microbiology.

[38]  R. Losick,et al.  Genes governing swarming in Bacillus subtilis and evidence for a phase variation mechanism controlling surface motility , 2004, Molecular microbiology.

[39]  Roman Stocker,et al.  Live from under the lens: exploring microbial motility with dynamic imaging and microfluidics , 2015, Nature Reviews Microbiology.

[40]  Jing Liu,et al.  Adaptor-mediated Lon proteolysis restricts Bacillus subtilis hyperflagellation , 2014, Proceedings of the National Academy of Sciences.

[41]  Cinzia Calvio,et al.  Swarming Differentiation and Swimming Motility in Bacillus subtilis Are Controlled by swrA, a Newly Identified Dicistronic Operon , 2005, Journal of bacteriology.

[42]  D. B. Kearns,et al.  A field guide to bacterial swarming motility , 2010, Nature Reviews Microbiology.

[43]  Eshel Ben-Jacob,et al.  Periodic Reversals in Paenibacillus dendritiformis Swarming , 2013, Journal of bacteriology.

[44]  Hunter L. Elliott,et al.  Dynamics of Snake-like Swarming Behavior of Vibrio alginolyticus. , 2016, Biophysical journal.

[45]  Alberto Fernandez-Nieves,et al.  Curvature-induced defect unbinding and dynamics in active nematic toroids , 2017, Nature Physics.

[46]  B. Waclaw,et al.  Mechanically driven growth of quasi-two-dimensional microbial colonies. , 2013, Physical review letters.

[47]  S. Ramaswamy,et al.  Hydrodynamics of soft active matter , 2013 .

[48]  D. Weibel,et al.  Bacterial Swarming: A Model System for Studying Dynamic Self-assembly. , 2009, Soft matter.

[49]  Romain Briandet,et al.  Single-cell analysis in situ in a Bacillus subtilis swarming community identifies distinct spatially separated subpopulations differentially expressing hag (flagellin), including specialized swarmers. , 2011, Microbiology.

[50]  Juan Carlos Fernández,et al.  Multiobjective evolutionary algorithms to identify highly autocorrelated areas: the case of spatial distribution in financially compromised farms , 2014, Ann. Oper. Res..

[51]  Nydia Morales-Soto,et al.  Preparation, Imaging, and Quantification of Bacterial Surface Motility Assays , 2015, Journal of visualized experiments : JoVE.

[52]  J. Dunkel,et al.  Emergence of three-dimensional order and structure in growing biofilms , 2018, Nature Physics.

[53]  Andrew M. Hein,et al.  The evolution of distributed sensing and collective computation in animal populations , 2015, eLife.

[54]  S. Shaw,et al.  The cell biology of peritrichous flagella in Bacillus subtilis , 2013, Molecular microbiology.

[55]  Howard C. Berg,et al.  Visualization of Flagella during Bacterial Swarming , 2010, Journal of bacteriology.

[56]  Gürol M. Süel,et al.  Coupling between distant biofilms and emergence of nutrient time-sharing , 2017, Science.

[57]  Yilin Wu,et al.  Weak synchronization and large-scale collective oscillation in dense bacterial suspensions , 2017, Nature.

[58]  Shih-Tung Liu,et al.  Water surface tension modulates the swarming mechanics of Bacillus subtilis , 2015, Front. Microbiol..

[59]  Yilin Wu,et al.  Water reservoir maintained by cell growth fuels the spreading of a bacterial swarm , 2012, Proceedings of the National Academy of Sciences.

[60]  Joyce E. Patrick,et al.  Laboratory Strains of Bacillus subtilis Do Not Exhibit Swarming Motility , 2009, Journal of bacteriology.

[61]  Markus Bär,et al.  Large-scale collective properties of self-propelled rods. , 2009, Physical review letters.

[62]  Gil Ariel,et al.  Swarming bacteria migrate by Lévy Walk , 2015, Nature Communications.

[63]  C. Harwood,et al.  Molecular biological methods for Bacillus , 1990 .

[64]  Howard C. Berg,et al.  Microbubbles reveal chiral fluid flows in bacterial swarms , 2011, Proceedings of the National Academy of Sciences.

[65]  Frank Jenko,et al.  New class of turbulence in active fluids , 2015, Proceedings of the National Academy of Sciences.

[66]  Markus Bär,et al.  Fluid dynamics of bacterial turbulence. , 2013, Physical review letters.

[67]  H. Berg,et al.  Dynamics of bacterial swarming. , 2010, Biophysical journal.

[68]  Bruce J. Berne,et al.  Gaussian Model Potentials for Molecular Interactions , 1972 .

[69]  Cleaver,et al.  Extension and generalization of the Gay-Berne potential. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[70]  Henry Pinkard,et al.  Advanced methods of microscope control using μManager software. , 2014, Journal of biological methods.

[71]  Heinz-Bernd Schüttler,et al.  Data-driven modeling reveals cell behaviors controlling self-organization during Myxococcus xanthus development , 2017, Proceedings of the National Academy of Sciences.

[72]  Hideo Yano,et al.  The fundamental solution of Brinkman's equation in two dimensions , 1991 .

[73]  H. Swinney,et al.  Scale-invariant correlations in dynamic bacterial clusters. , 2012, Physical review letters.

[74]  Eric Lauga,et al.  Hydrodynamics of confined active fluids. , 2012, Physical review letters.

[75]  A. Grossman,et al.  Biochemical and genetic characterization of a competence pheromone from B. subtilis , 1994, Cell.

[76]  Alex Townsend,et al.  Computing with Functions in Spherical and Polar Geometries II. The Disk , 2016, SIAM J. Sci. Comput..

[77]  S. Séror,et al.  Comparative Analysis of the Development of Swarming Communities of Bacillus subtilis 168 and a Natural Wild Type: Critical Effects of Surfactin and the Composition of the Medium , 2005, Journal of bacteriology.

[78]  Bonnie L. Bassler,et al.  Architectural transitions in Vibrio cholerae biofilms at single-cell resolution , 2016, Proceedings of the National Academy of Sciences.