Continuous and discrete models of cooperation in complex bacterial colonies

@article{Cohen1998ContinuousAD,
  title={Continuous and discrete models of cooperation in complex bacterial colonies},
  author={I. Cohen and Ido Golding and Yonathan Kozlovsky and Eshel Ben-Jacob},
  journal={Fractals},
  year={1998},
  volume={07},
  pages={235-247}
}
In this paper, we study the effect of discreteness on various models for patterning in bacterial colonies (finite-size effect) and present two types of models to describe the growth of the bacterial colonies. The first model presented is the Communicating Walkers model (CWm), a hybrid model composed of both continuous fields and discrete entities — walkers, which are coarse-graining of the bacteria; coarse-graining may amplify the discreteness inherent to the biological system. Models of the… Expand

Figures from this paper

NONLINEAR DEVELOPMENT OF BACTERIAL COLONY MODELED WITH CELLULAR AUTOMATA AND AGENT OBJECTS
TLDR
The model shows that the patterns generated by the bacteria due to their collective behavior reflect the dynamical vitality of population and its fitness factor, and observes that the strongest populations self-organize in rod-like structures characteristic for bioflims and anthrax bacterial colonies. Expand
The ecological basis of morphogenesis: branching patterns in swarming colonies of bacteria.
TLDR
This work combines experiments and computer simulation to show that a simple ecological model of population dispersal can describe the emergence of branching patterns, and suggests that P. aeruginosa has a fine-tuned physiology for branching. Expand
Threshold effect with stochastic fluctuation in bacteria-colony-like proliferation dynamics as analyzed through a comparative study of reaction-diffusion equations and cellular automata.
  • K. Odagiri, K. Takatsuka
  • Mathematics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2009
TLDR
It is found that the viscous-finger-like realistic patterns are indeed recovered by thus modified RD, which highlights the important difference between CA and RD, and clarifies the necessary factors for the complicated patterns to emerge in such a surprisingly simple model system. Expand
Bioouiddynamics of Lubricating Bacteria
Various bacterial strains exhibit colonial branching patterns during growth on thin poor substrates. The growth can be either diiusion-limited or kinetic-limited, according to the imposed growthExpand
FRACTAL SELF-ORGANIZATION OF BACTERIA-INSPIRED AGENTS
We develop an agent-based model as a preliminary theoretical basis to guide the synthesis of a new class of materials with dynamic properties similar to bacterial colonies. Each agent in the model isExpand
Self-similar dynamics of bacterial chemotaxis.
TLDR
The dynamics of pattern formation in a bacterial colony is investigated theoretically through a continuum model that considers chemotaxis, which reveals the scaling law of the bacterial colony growth has been revealed explicitly. Expand
Modeling cooperating micro-organisms in antibiotic environment
TLDR
A simplified model, consisting of coupled reaction-diffusion equations, describing the development of ring patterns in the shared colony of P. vortex and E. coli was able to simulate an asymmetric relationship between two or three micro-organisms where cooperation is required for survival. Expand
GAME OF COORDINATION FOR BACTERIAL PATTERN FORMATION: A FINITE AUTOMATA MODELLING
TLDR
The effects of sophisticated communications and information-sharing between bacterial colonies are found to be a vital determinant for bacterial growth, which is manifested in the Petri dish as complex spatial patterns, often at fractal scales. Expand
Modeling branching and chiral colonial patterning of lubricating bacteria
TLDR
This work presents a wealth of branching and chiral patterns formed during colonial development of lubricating bacteria (bacteria which produce a wetting layer of fluid for their movement), and introduces a measure for weak chirality and uses this measure to compare the results of model simulations with experimental observations. Expand
Studies of Bacterial Cooperative Organization
During the course of evolution, bacteria have developed sophisticated cooperative behavior and intricate communication capabilities [1-3]. Utilizing these capabilities, bacterial colonies developExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 93 REFERENCES
Lubricating bacteria model for branching growth of bacterial colonies.
TLDR
It is shown that when the diffusion of the fluid is governed by a nonlinear diffusion coefficient, branching patterns evolve and fields of chemotactic agents and food chemotaxis are needed in order to explain the observations. Expand
Communication, Regulation and Control during Complex Patterning of Bacterial Colonies
TLDR
A non-local communicating walkers model is presented to study the effect of local bacterium-bacterium interaction and communication via chemotaxis signaling and it is demonstrated how communication enables the colony to develop complex patterns in response to adverse growth conditions. Expand
Studies of bacterial branching growth using reaction–diffusion models for colonial development
TLDR
This work presents an additional model which includes a lubrication fluid excreted by the bacteria and adds fields of chemotactic agents to the other models, and presents a critique of this whole enterprise with focus on the models’ potential for revealing new biological features. Expand
INTERFACE GROWTH AND PATTERN FORMATION IN BACTERIAL COLONIES
Bacterial species Bacillus subtilis is known to exhibit various colony patterns, depending on the substrate softness and nutrient concentration. We have examined the self-affinity and roughnessExpand
Generic modelling of cooperative growth patterns in bacterial colonies
TLDR
It is shown that a simple model of bacterial growth can reproduce the salient features of the observed growth patterns, and incorporates random walkers, representing aggregates of bacteria, which move in response to gradients in nutrient concentration and communicate with each other by means of chemotactic 'feedback. Expand
Adaptive self-organization during growth of bacterial colonies
We present a study of interfacial pattern formation during diffusion-limited growth of Bacillus subtilis. It is demonstrated that bacterial colonies can develop patterns similar to morphologiesExpand
Fluctuation-induced diffusive instabilities
The formation of complex patterns in many non-equilibrium systems, ranging from solidifying alloys to multiphase flow, nonlinear chemical reactions and the growth of bacterial colonies,, involves theExpand
Diffusion-limited growth in bacterial colony formation
Colonies of bacterial species called Bacillus subtilis have been found to grow two-dimensionally and self-similarly on agar plates through diffusion-limited processes in a nutrient concentrationExpand
Modeling spatio-temporal patterns generated by Bacillus subtilis.
TLDR
A diffusion-reaction model is developed, in which density dependent cell movements are incorporated by the level of nutrient concentration available for the cell, which predicts the growth velocity of a colony as a function of the nutrient concentration. Expand
Interface Dynamics for Bacterial Colony Formation
We propose a differential-equation model with a nonlinear diffusion term for explaining pattern formation of bacterial colonies, and carry out its numerical simulations. Our model is reduced to anExpand
...
1
2
3
4
5
...