๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Modeling Spatio-Temporal Patterns Generated byBacillus subtilis

โœ Scribed by K. Kawasaki; A. Mochizuki; M. Matsushita; T. Umeda; N. Shigesada


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
410 KB
Volume
188
Category
Article
ISSN
0022-5193

No coin nor oath required. For personal study only.

โœฆ Synopsis


Colonies of bacteria, Bacillus subtilis, that grow on the surface of thin agar plates show various morphological patterns in response to environmental conditions, such as the nutrient concentration, the solidity of an agar medium and temperature. For instance, the colony pattern shows a dense-branching morphology with a smooth circular envelope (DBM-like) in a nutrient-poor semi-solid agar medium, and it turns to a simple disk-like colony as both the nutrient concentration and the agar's softness increase. These patterns have been shown to involve cell movement inside colonies. In a DBM-like colony, individual cells actively move, particularly in the expanding periphery of the colony, while they become immotile at the inner region of the colony where nutrient is very low. In a disk-like colony, cells are highly active in the whole region of the colony. Based on such experimental observations, we develop a diffusion-reaction model, in which density dependent cell movements are incorporated by the level of nutrient concentration available for the cell. Numerical simulations of the model under different environmental conditions closely reproduce various colony patterns ranging from DBM-like pattern to the homogeneous disk-like one in a unifying manner. The analysis also predicts the growth velocity of a colony as a function of the nutrient concentration.


๐Ÿ“œ SIMILAR VOLUMES


Potentials and limitations of modelling
โœ Ole RรถรŸler; Jรถrg Lรถffler ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 631 KB

## Abstract Soil moisture is a highly dynamic ecological variable. This dynamic is especially distinct in high mountains areas, where topography, snow cover, microโ€climate, vegetation, soil properties and land cover vary across short distances. For such areas, soil moisture modelling on a fine scal

Mathematical Modelling of Hostโ€“Parasitoi
โœ PETER SCHOFIELD; MARK CHAPLAIN; STEPHEN HUBBARD ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 832 KB

In this paper we develop a novel discrete, individual-based mathematical model to investigate the e!ect of parasitoid foraging strategies on the spatial and temporal dynamics of host}parasitoid systems. The model is used to compare namK ve or random search strategies with search strategies that depe

Sequence generation in arbitrary tempora
โœ T. Fukai ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 331 KB

A computational model that is able to generate sequences at arbitrary rates in a given serial order is presented for the cortico-basal ganglia (BG)-thalamic neural circuitry. Upon generating a sequence, this model stores information on the serial order of components in a cortical buffer by means of