Self-organized Vortex State in Two-Dimensional Dictyostelium Dynamics

We present results of experiments on the dynamics of Dictyostelium discoideum in a novel setup which constrains cell motion to a plane. After aggregation, the amoebae collect into round “pancake” structures in which the cells rotate around the center of the pancake. To provide a mechanism for the self-organization of the Dictyostelium cells, we have developed a new model of the dynamics of selfpropelled deformable objects. In this model, we show that cohesive energy between the cells, together with a coupling between the self-generated propulsive force and the cell’s configuration, produces a self-organized vortex state. The mechanism for self-organization reported here can possibly explain similar vortex states in other biological systems.

[1]  W. Loomis.  The Development of Dictyostelium Discoideum , 1982 .

[2]  J. Hemmingsson.  Modellization of self-propelling particles with a coupled map lattice model , 1995 .

[3]  Reynolds,et al.  Streaming instability of aggregating slime mold amoebae. , 1991, Physical review letters.

[4]  Vicsek,et al.  Novel type of phase transition in a system of self-driven particles. , 1995, Physical review letters.

[5]  Nagel.  Particle hopping models and traffic flow theory. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  D. Chialvo,et al.  Pattern Formation and Functionality in Swarm Models , 1995, adap-org/9507003.

[7]  P. Devreotes.  Dictyostelium discoideum: a model system for cell-cell interactions in development. , 1989, Science.

[8]  Albano.  Self-Organized Collective Displacements of Self-Driven Individuals. , 1996, Physical review letters.

[9]  Philip K. Maini,et al.  Streaming instability of slime mold amoebae: An analytical model , 1997 .

[10]  H. Othmer,et al.  A discrete cell model with adaptive signalling for aggregation of Dictyostelium discoideum. , 1997, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[11]  E. Ben-Jacob,et al.  Holotransformations of bacterial colonies and genome cybernetics , 1994 .

[12]  D. Murphy,et al.  Dynamic Distribution of Chemoattractant Receptors in Living Cells During Chemotaxis and Persistent Stimulation , 1997, The Journal of cell biology.

[13]  F. Alcântara,et al.  Signal propagation during aggregation in the slime mould Dictyostelium discoideum. , 1974, Journal of general microbiology.

[14]  Tu,et al.  Long-Range Order in a Two-Dimensional Dynamical XY Model: How Birds Fly Together. , 1995, Physical review letters.

[15]  Martin Falcke,et al.  Pattern selection by gene expression in Dictyostelium discoideum , 1998 .

[16]  E. Cox,et al.  Origin and evolution of circular waves and spirals in Dictyostelium discoideum territories. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[17]  F. Siegert,et al.  Analysis of optical density wave propagation and cell movement during mound formation in Dictyostelium discoideum. , 1996, Developmental biology.

[18]  A Goldbeter,et al.  Desynchronization of cells on the developmental path triggers the formation of spiral waves of cAMP during Dictyostelium aggregation. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[19]  P. Hogeweg,et al.  Modelling Morphogenesis: From Single Cells to Crawling Slugs. , 1997, Journal of theoretical biology.

[20]  Dirk Helbing,et al.  Modelling the evolution of human trail systems , 1997, Nature.

[21]  Hans J. Herrmann,et al.  Spontaneous Formation of Vortex in a System of Self Motorised Particles , 1995 .

[22]  J A Sherratt,et al.  Dictyostelium discoideum: cellular self-organization in an excitable biological medium , 1995, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[23]  Cox,et al.  Competing patterns of signaling activity in dictyostelium discoideum. , 1996, Physical review letters.

[24]  A. Kuspa,et al.  Dictyostelium development in the absence of cAMP. , 1997, Science.

[25]  H. Bussemaker,et al.  Mean-Field Analysis of a Dynamical Phase Transition in a Cellular Automaton Model for Collective Motion , 1997, physics/9706008.

[26]  B L Partridge,et al.  The structure and function of fish schools. , 1982, Scientific American.

[27]  P. Hogeweg,et al.  Simulation of dictyostelium discoideum aggregation via reaction-diffusion model. , 1994, Physical review letters.

[28]  Florian Siegert,et al.  A Hydrodynamic model forDictyostelium discoideumMound Formation , 1997 .

[29]  Florian Siegert,et al.  Spiral and concentric waves organize multicellular Dictyostelium mounds , 1995, Current Biology.

[30]  Glazier,et al.  Simulation of the differential adhesion driven rearrangement of biological cells. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[31]  C. F. Niven,et al.  THE SEROLOGICAL IDENTIFICATION OF STREPTOCOCCUS ZYMOGENES WITH THE LANCEFIELD GROUP D , 1938, Journal of bacteriology.

[32]  W. Loomis,et al.  Chemotaxis to cAMP and slug migration in Dictyostelium both depend on migA, a BTB protein. , 1997, Molecular biology of the cell.

[33]  H. Levine,et al.  Possible cooperation of differential adhesion and chemotaxis in mound formation of Dictyostelium. , 1998, Biophysical journal.

[34]  Tamás Vicsek,et al.  Chemomodulation of cellular movement, collective formation of vortices by swarming bacteria, and colonial development , 1997 .