Size Distribution of Bacterial Cells in Homogeneously Spreading Disk-like Colonies by<i>Bacillus subtilis</i>

Wakita, Jun–ichi; Kuninaka, Hiroto; Matsuyama, Tohey; Matsushita, Mitsugu

doi:10.1143/jpsj.79.094002

Cited by 17 publications

(25 citation statements)

References 20 publications

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“…In this paper, we perform a theoretical analysis of a stochastic model of bacterial cell size. Wakita et al [23] reported that the cell-size distribution of the bacterial species Bacillus (B.) subtilis is well described by a lognormal distribution.…”

Section: A General Overviewmentioning

confidence: 99%

Analysis of a Stochastic Model for Bacterial Growth and the Lognormality of the Cell-Size Distribution

Yamamoto

Wakita

2016

J. Phys. Soc. Jpn.

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This paper theoretically analyzes a phenomenological stochastic model for bacterial growth. This model comprises cell division and the linear growth of cells, where growth rates and cell cycles are drawn from lognormal distributions. We find that the cell size is expressed as a sum of independent lognormal variables. We show numerically that the quality of the lognormal approximation greatly depends on the distributions of the growth rate and cell cycle. Furthermore, we show that actual parameters of the growth rate and cell cycle take values that give a good lognormal approximation; thus, the experimental cell-size distribution is in good agreement with a lognormal distribution.

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Section: A General Overviewmentioning

confidence: 99%

Analysis of a Stochastic Model for Bacterial Growth and the Lognormality of the Cell-Size Distribution

Yamamoto

Wakita

2016

J. Phys. Soc. Jpn.

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“…Such a multiple-fission process without cell separation is commonly observed in the early stage of the growth process even if the agar concentration is changed, while the structure and motion of an entangled filament of cells in the later stage depend on environmental conditions [18,21,3,17,27]. Takeuchi et al reported a study on filamentous cells of E.coli [28].…”

Section: Discussionmentioning

confidence: 99%

Self-Elongation with Sequential Folding of a Filament of Bacterial Cells

2015

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Under hard-agar and nutrient-rich conditions, a cell of Bacillus subtilis grows as a single filament owing to the failure of cell separation after each growth and division cycle. The self-elongating filament of cells shows sequential folding processes, and multifold structures extend over an agar plate. We report that the growth process from the exponential phase to the stationary phase is well described by the time evolution of fractal dimensions of the filament configuration. We propose a method of characterizing filament configurations using a set of lengths of multifold parts of a filament. Systems of differential equations are introduced to describe the folding processes that create multifold structures in the early stage of the growth process. We show that the fitting of experimental data to the solutions of equations is excellent, and the parameters involved in our model systems are determined.

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“…Figure 11 shows a typical morphological diagram of Bacillus subtilis colonies obtained as a function of both C n and the inverse of C a . 7,[52][53][54][55][56][57][58] The diagram is divided into five regions by the pattern characteristics of bacterial colonies: regions A (DLA), B (Eden), C (concentric ring), D (homogeneously spreading disk), and E [dense branching morphology (DBM)]. Here we focus on the growing colonies in region D and investigate the size distribution of bacterial cells inside the colonies.…”

Section: Size Distribution Of Bacterial Cellsmentioning

confidence: 99%

“…In our previous paper, 52) we also investigated the growth process of bacterial cells, and found that the process is linear in time and that the cell cycle and the growth rate of bacterial cells also obey lognormal distributions. These results certainly support the existence of a multiplicative process underlying the size distribution of bacterial cells.…”

Section: Size Distribution Of Bacterial Cellsmentioning

confidence: 99%

Statistical Features of Complex Systems –Toward Establishing Sociological Physics–

et al. 2011

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Complex systems have recently attracted much attention, both in natural sciences and in sociological sciences. Members constituting a complex system evolve through nonlinear interactions among each other. This means that in a complex system the multiplicative experience or, so to speak, the history of each member produces its present characteristics. If attention is paid to any statistical property in any complex system, the lognormal distribution is the most natural and appropriate among the standard or ''normal'' statistics to overview the whole system. In fact, the lognormality emerges rather conspicuously when we examine, as familiar and typical examples of statistical aspects in complex systems, the nursing-care period for the aged, populations of prefectures and municipalities, and our body height and weight. Many other examples are found in nature and society. On the basis of these observations, we discuss the possibility of sociological physics.

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Size Distribution of Bacterial Cells in Homogeneously Spreading Disk-like Colonies byBacillus subtilis

Cited by 17 publications

References 20 publications

Analysis of a Stochastic Model for Bacterial Growth and the Lognormality of the Cell-Size Distribution

Analysis of a Stochastic Model for Bacterial Growth and the Lognormality of the Cell-Size Distribution

Self-Elongation with Sequential Folding of a Filament of Bacterial Cells

Statistical Features of Complex Systems –Toward Establishing Sociological Physics–

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