Fractal morphogenesis by a bacterial cell population.

Many species of bacteria have been found to form fractal colonies. Environmental (physicochemical) and biological factors for this fractal morphogenesis have been examined for their roles in the genesis of fractal and pattern diversity. Morphology of a bacterial colony on a solid agar medium depends on the nutrient diffusion field (two-dimensional). When concentrations of nutrients are low, point-inoculated bacteria (e.g., Bacillus subtilis) exert diffusion-limited growth. A self-similar fractal colony formed slowly under such a condition has the same morphology as one made by the diffusion-limited aggregation (DLA) model. The value of fractal dimensions (ca. 1.72) and the appearance of specific phenomena (screening and repulsion effects) are consistent with computer simulations of the DLA fractal model. On the other hand, a round colony recognized on an agar-rich medium was considered to be the product of reaction-limited growth and was simulated by the Eden model. When motile bacteria are point inoculated onto semi-solid agar media, bacterial spreading behavior also is morphogenic. Branching patterns with various morphologies (e.g., dense-branching morphology) have been recognized and examined for factors responsible for pattern changes. By microscopic inspection of the extending branch, multicellular behavior of bacteria has been observed in the structured cell distribution. Besides cell division and translocation activities, wetting agents produced by some species of bacteria (e.g., serrawettins produced by Serratia marcescens) are considered to be important microbial factors for efficient space occupation and specific cell transpositions in various surface environments.

[1]  T. Matsuyama,et al.  Fractal spreading growth of Serratia marcescens which produces surface active exolipids. , 1989, FEMS microbiology letters.

[2]  Hiroshi Fujikawa,et al.  Fractal Growth of Bacillus subtilis on Agar Plates , 1989 .

[3]  H. Stanley,et al.  Fractal growth viscous fingers: quantitative characterization of a fluid instability phenomenon , 1985, Nature.

[4]  I. Yano,et al.  Wetting agent produced by Serratia marcescens , 1985 .

[5]  Dougherty,et al.  Dendritic and fractal patterns in electrolytic metal deposits. , 1986, Physical review letters.

[6]  T. Matsuyama,et al.  Chromatographic determination of optical configuration of 3‐hydroxy fatty acids composing microbial surfactants , 1993 .

[7]  E. Ben-Jacob,et al.  Adaptive self-organization during growth of bacterial colonies , 1992 .

[8]  T. Vicsek.  Fractal Growth Phenomena , 1989 .

[9]  A. Kakinuma,et al.  Determination of the Location of Lactone Ring in Surfactin , 1969 .

[10]  F. G. Jarvis,et al.  A Glyco-lipide Produced by Pseudomonas Aeruginosa , 1949 .

[11]  R. Belas,et al.  Proteus mirabilis mutants defective in swarmer cell differentiation and multicellular behavior , 1991, Journal of bacteriology.

[12]  Eldred,et al.  Physical mechanisms underlying neurite outgrowth: A quantitative analysis of neuronal shape. , 1990, Physical review letters.

[13]  K. Kaneda,et al.  Surface-active novel glycolipid and linked 3-hydroxy fatty acids produced by Serratia rubidaea , 1990, Journal of bacteriology.

[14]  H. Wasserman,et al.  SERRATAMOLIDE, A METABOLIC PRODUCT OF SERRATIA , 1961 .

[15]  L. Pietronero,et al.  Fractal Dimension of Dielectric Breakdown , 1984 .

[16]  P. Pfeifer,et al.  Microbial growth patterns described by fractal geometry , 1990, Journal of bacteriology.

[17]  Bruce J. West,et al.  Chaos and fractals in human physiology. , 1990, Scientific American.

[18]  Y Imae,et al.  Effect of temperature on motility and chemotaxis of Escherichia coli , 1976, Journal of bacteriology.

[19]  Mitsugu Matsushita,et al.  Morphological Changes in Growth Phenomena of Bacterial Colony Patterns , 1992 .

[20]  R. Harshey,et al.  Mutations that impair swarming motility in Serratia marcescens 274 include but are not limited to those affecting chemotaxis or flagellar function , 1992, Journal of bacteriology.

[21]  M. Matsushita,et al.  Self-similar colony morphogenesis by gram-negative rods as the experimental model of fractal growth by a cell population , 1992, Applied and environmental microbiology.

[22]  R. Schwarzhoff,et al.  Nature of the swarming phenomenon in Proteus. , 1978, Annual review of microbiology.

[23]  M. Lewis,et al.  Fractal surfaces of proteins. , 1985, Science.

[24]  P. Meakin,et al.  A new model for biological pattern formation. , 1986, Journal of theoretical biology.

[25]  B. Mandelbrot.  How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension , 1967, Science.

[26]  I. Yano,et al.  Direct Colony Thin-Layer Chromatography and Rapid Characterization of Serratia marcescens Mutants Defective in Production of Wetting Agents , 1987, Applied and environmental microbiology.

[27]  Tamás Vicsek,et al.  Pattern Formation in Diffusion-Limited Aggregation , 1984 .

[28]  I. Yano,et al.  Extracellular Vesicle Formation and Biosurfactant Production by Serratia marcescens , 1986 .

[29]  Sander,et al.  Morphology and microstructure in electrochemical deposition of zinc. , 1986, Physical review letters.

[30]  Hiroshi Fujikawa,et al.  Diffusion-limited growth in bacterial colony formation , 1990 .

[31]  M. Sano,et al.  Fractal structures of zinc metal leaves grown by electrodeposition , 1984 .

[32]  F. Grimont,et al.  The genus Serratia. , 1978, Annual review of microbiology.

[33]  E R Weibel,et al.  Resolution effect on the stereological estimation of surface and volume and its interpretation in terms of fractal dimensions , 1981, Journal of microscopy.

[34]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[35]  L. Sander,et al.  Diffusion-limited aggregation, a kinetic critical phenomenon , 1981 .

[36]  Heinz K. Henisch,et al.  Crystals in gels and Liesegang rings , 1988 .

[37]  A. Goldberger,et al.  Beyond the principle of similitude: renormalization in the bronchial tree. , 1986, Journal of applied physiology.

[38]  Tamás Vicsek,et al.  Self-affine growth of bacterial colonies , 1990 .

[39]  T. Matsuyama,et al.  Increased cell surface hydrophobicity of a Serratia marcescens NS 38 mutant lacking wetting activity , 1988, Journal of Bacteriology.

[40]  J. Costerton,et al.  Bacterial biofilms in nature and disease. , 1987, Annual review of microbiology.

[41]  E. Ben-Jacob,et al.  The formation of patterns in non-equilibrium growth , 1990, Nature.

[42]  C. Hughes,et al.  Closely linked genetic loci required for swarm cell differentiation and multicellular migration by Proteus mirabilis , 1991, Molecular microbiology.

[43]  J. Lawton,et al.  Fractal dimension of vegetation and the distribution of arthropod body lengths , 1985, Nature.

[44]  Shunji Ouchi,et al.  On the self-affinity of various curves , 1989 .

[45]  K. Kaneda,et al.  A novel extracellular cyclic lipopeptide which promotes flagellum-dependent and -independent spreading growth of Serratia marcescens , 1992, Journal of bacteriology.

[46]  Carl J. G. Evertsz,et al.  The potential distribution around growing fractal clusters , 1990, Nature.