The mode transition of the bacterial colony

Eiha, Noriko; Komoto, Atsushi; Maenosono, Shinya; Wakano, Joe Yuichiro; Yamamoto, Kenji; Yamaguchi, Yukio

doi:10.1016/s0378-4371(02)00983-4

Cited by 12 publications

(11 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The only available data we could compare our results with were those on B. circulans, on soft agar. From [7], we estimated that the diffusion constant varies as the agar concentration to the power −5, which is compatible with our findings. It would be interesting to have some similar experimental results for B. subtilis and P. mirabilis.…”

Section: Discussionsupporting

confidence: 91%

“…Let us consider the diffusion constant values: if the theoretical diffusion coefficient of a particle of diameter 1 µm in water is of the order of 10 −4 mm 2 h −1 , the diffusion coefficient of bacteria like Bacillus circulans [7] or E. Coli [4] in water is between 0.1 and 1 mm 2 h −1 . In agar, Eiha estimated a diffusion coefficient for B. circulans between 1 and 10 −4 mm 2 h −1 for agar concentrations between 0.3% and 0.9% [7]. We did not find analogous measurements for B. subtilis or for P. mirabilis.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

An (almost) solvable model for bacterial pattern formation

Grammaticos

Badoual

Aubert

2007

Physica D: Nonlinear Phenomena

View full text Add to dashboard Cite

Section: Discussionsupporting

confidence: 91%

Section: Discussionmentioning

confidence: 99%

An (almost) solvable model for bacterial pattern formation

Grammaticos

Badoual

Aubert

2007

Physica D: Nonlinear Phenomena

View full text Add to dashboard Cite

“…An interesting possibility is that in high C agar cell densities could reach large enough values to elicit quorum sensing responses (36). Experimentally, the situation for C ≥ 0.4% is also complicated by the observation of coexisting subpopulations (see results and also (34)), one growing on the surface and one in the bulk, which does not penetrate very deeply (the dynamics is no longer 2D as assumed). Modelling these very different conditions is left to a future study.…”

Section: Discussionmentioning

confidence: 99%

Migration of Chemotactic Bacteria in Soft Agar: Role of Gel Concentration

Croze¹,

Ferguson²,

Cates³

et al. 2011

Biophysical Journal

149

View full text Add to dashboard Cite

We study the migration of chemotactic wild-type Escherichia coli populations in semisolid (soft) agar in the concentration range C = 0.15-0.5% (w/v). For C≲0.35%, expanding bacterial colonies display characteristic chemotactic rings. At C = 0.35%, however, bacteria migrate as broad circular bands rather than sharp rings. These are growth/diffusion waves arising because of suppression of chemotaxis by the agar and have not been previously reported experimentally to our knowledge. For C = 0.4-0.5%, expanding colonies do not span the depth of the agar and develop pronounced front instabilities. The migration front speed is weakly dependent on agar concentration at C < 0.25%, but decreases sharply above this value. We discuss these observations in terms of an extended Keller-Segel model for which we derived novel transport parameter expressions accounting for perturbations of the chemotactic response by collisions with the agar. The model makes it possible to fit the observed front speed decay in the range C = 0.15-0.35%, and its solutions qualitatively reproduce the observed transition from chemotactic to growth/diffusion bands. We discuss the implications of our results for the study of bacteria in porous media and for the design of improved bacteriological chemotaxis assays.

show abstract

“…The RDM employs a diffusion‐like term for microbial migration and a reaction term for nutrient consumption (and growth) based on the Monod equation where u is rate of growth, n is nutrient concentration, k and K S are the reaction constants. The general form of the RDM model, which couples microbial growth and movement with nutrient diffusion and consumption is given as [ Golding et al , 1998; Mimura et al , 2000; Eiha et al , 2002] where b indicates microbial concentration, D b and D n are local diffusion coefficients of microbial and nutrient fields (representing random motility and diffusion), t is time, μ is the rate of microbial decay and α is a yield term linking consumption to growth. Several modifications are made to accommodate various biological processes, such as microbial death, population‐based diffusion coefficient, and cutoff of reaction when microbial density indicates a population less than 1 cell.…”

Section: Theoretical Considerationsmentioning

confidence: 99%

Aquatic habitats and diffusion constraints affecting microbial coexistence in unsaturated porous media

Long

2005

Water Resources Research

View full text Add to dashboard Cite

[1] Evidence suggests that the diversity of microbial life in the vadose zone exceeds diversity found in all other compartments of the biosphere. Such rich diversity is believed to be promoted by complexity of resource and microenvironments and by fragmentation of aquatic habitats in unsaturated soils that limit diffusion pathways and form physically isolated niches capable of supporting diverse species within small soil volumes. We investigated the role of heterogeneity of substrate diffusion through loosely connected water films in promoting coexistence of species that otherwise would not coexist under homogeneous conditions. The mesoscale modeling approach employed in this study tracks nutrient diffusion and consumption within a domain inhabited by microbial communities that expand and move about in response to spatial and temporal variations in nutrients and hydration conditions (termed active walkers). Numerical results on hypothetical rough surfaces support the hypotheses concerning the role of diffusion limitations in sustaining nutrient gradients and sheltering less competitive species, thereby promoting coexistence in heterogeneous domains.Citation: Long, T., and D. Or (2005), Aquatic habitats and diffusion constraints affecting microbial coexistence in unsaturated porous media, Water Resour. Res., 41, W08408,

show abstract

The mode transition of the bacterial colony

Cited by 12 publications

References 28 publications

An (almost) solvable model for bacterial pattern formation

An (almost) solvable model for bacterial pattern formation

Migration of Chemotactic Bacteria in Soft Agar: Role of Gel Concentration

Aquatic habitats and diffusion constraints affecting microbial coexistence in unsaturated porous media

Contact Info

Product

Resources

About