Summary
Swarming pattern formation of self-propelled entities is a prominent example of collective behavior in biology. Here we focus on bacterial swarming and show that the rod shape of self-propelled individuals is able to drive swarm formation without any kind of signaling.
The underlying mechanism we propose is purely mechanical and is evidenced through two different mathematical approaches: an on-lattice and an off-lattice individual-based model. The intensities of swarm formation we obtain in both approaches uncover that the length-width aspect ratio controls swarm formation. Moreover we show that there is an optimal aspect ratio that favors swarming.
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References
Bussemarker, J.H., Deutsch, A., Geigant, E.: Mean-field analysis of a dynamical phase transition in a cellular automaton model for collective motion. Phys. Rev. Lett., 78, 5018–5021 (1997).
Czirók, A., Vicsek, T.: Collective behavior of interacting self-propelled particles. Physica A, 281, 17–29 (2000).
Deutsch, A., Dormann, S.: Cellular Automaton Modeling of Biological Pattern Formation—Characterization, Applications, and Analysis. Birkhäuser, Boston (2005).
Doi, M., Edwards, S.F.: The Theory of Polymer Dynamics. Oxford University Press, London (1986).
Dworkin, M.: Recent advances in the social and developmental biology of the myxobacteria. Microbiol. Rev., 60, 70–102 (1996).
Graner, F., Glazier, J.A.: Simulation of biological cell sorting using a two-dimensional extended Potts model. Phys. Rev. Lett., 69, 2013–2016 (1992).
Igoshin, O.A., Welch, R., Kaiser, D., Oster, G.: Waves and aggregation patterns in myxobacteria. Proc. Natl. Acad. Sci. U.S.A., 101, 4256–4261 (2004).
Jelsbak, L., Søgaard-Andersen, L.: Pattern formation: fruiting body morphogenesis in Myxococcus xanthus. Curr. Opin. Microbiol., 3, 637–642 (2000).
Kaiser, D., Welch, R.: Dynamics of fruiting body morphogenesis. J. Bacteriol., 186, 919– 927 (2004).
Koch, A., White, D.L.: The social lifestyle of myxobacteria. Bioessays, 20, 1030–1028 (1998).
Levine, A., Liverpool, T., MacKintosh, F.: Dynamics of rigid and flexible extended bodies in viscous films and membranes. Phys. Rev. Lett., 93, 038102 (2004).
Levine, A., Liverpool, T., MacKintosh, F.: Mobility of extended bodies in viscous films and membranes. Phys. Rev. E, 69, 021503 (2004).
Mareé, S.: From pattern formation to morphogenesis: multicellular coordination in Dictyostelium discoideum. Ph.D. thesis, University Utrecht (2002).
Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.H., Teller, E.: Equation of state calculation by fast computing machines. J. Chem. Phys., 21, 1087–1092 (1953).
Peruani, F., Deutsch, A., Bär, M.: Nonequilibrium clustering of self-propelled rods. Phys. Rev.E, 74, 030904(R) (2006).
Spormann, A.M., Kaiser, D.: Gliding movements in Myxococcus xanthus. J. Bacteriol., 177, 5846–5852 (1995).
Starruß, J.,Søgaard-Andersen, L., Bley, T., Deutsch, A.: A new mechanism for collective migration in Myxococcus xanthus. J. Stat. Phys., (2007).
Stevens, A.: A stochastic cellular automaton modeling gliding and aggregation of myxobacteria. SIAM J. Appl. Math., 61, 172–182 (2000).
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Starruß, J., Peruani, F., Bär, M., Deutsch, A. (2007). Bacterial Swarming Driven by Rod Shape. In: Deutsch, A., Brusch, L., Byrne, H., Vries, G.d., Herzel, H. (eds) Mathematical Modeling of Biological Systems, Volume I. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4558-8_14
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DOI: https://doi.org/10.1007/978-0-8176-4558-8_14
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