Journal ArticleDOI
Traveling bands of chemotactic bacteria: a theoretical analysis.
Evelyn Fox Keller,Lee A. Segel +1 more
TLDR
A phenomenological theory of traveling bands is developed starting with partial differential equations which describes the consumption of the critical substrate and the change in bacterial density due to random motion and to chemotaxis and predicts the shapes of the graphs of bacterial density and substrate concentration in the traveling band.About:
This article is published in Journal of Theoretical Biology.The article was published on 1971-02-01. It has received 977 citations till now. The article focuses on the topics: Energy source.read more
Citations
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Journal ArticleDOI
Model for Chemotaxis
Evelyn Fox Keller,Lee A. Segel +1 more
TL;DR: The chemotactic response of unicellular microscopic organisms is viewed as analogous to Brownian motion, and a macroscopic flux is derived which is proportional to the chemical gradient.
Journal ArticleDOI
A user’s guide to PDE models for chemotaxis
Thomas Hillen,Kevin J. Painter +1 more
TL;DR: This paper explores in detail a number of variations of the original Keller–Segel model of chemotaxis from a biological perspective, contrast their patterning properties, summarise key results on their analytical properties and classify their solution form.
Journal ArticleDOI
Random walk models in biology.
TL;DR: The mathematical theory behind the simple random walk is introduced and how this relates to Brownian motion and diffusive processes in general and a reinforced random walk can be used to model movement where the individual changes its environment.
From 1970 until present: the Keller-Segel model in chemotaxis and its consequences
TL;DR: This article summarizes various aspects and results for some general formulations of the classical chemotaxis models also known as Keller-Segel models and offers possible generalizations of these results to more universal models.
Journal ArticleDOI
Active Brownian Particles. From Individual to Collective Stochastic Dynamics
TL;DR: In this paper, the authors focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of such self-propelled entities in the framework of statistical mechanics.
References
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Journal ArticleDOI
Initiation of slime mold aggregation viewed as an instability.
Evelyn Fox Keller,Lee A. Segel +1 more
TL;DR: A mathematical formulation of the general interaction of amoebae, as mediated by acrasin is presented, and a detailed analysis of the aggregation process is provided.
Journal ArticleDOI
Model for Chemotaxis
Evelyn Fox Keller,Lee A. Segel +1 more
TL;DR: The chemotactic response of unicellular microscopic organisms is viewed as analogous to Brownian motion, and a macroscopic flux is derived which is proportional to the chemical gradient.
Journal ArticleDOI
Chemotaxis in bacteria.
TL;DR: These results show that E. coli is chemotactic toward oxygen and energy sources such as galactose, glucose, aspartic acid, threonine, or serine and that chemotaxis allows bacteria to find that environment which provides them with the greatest supply of energy.
Journal Article
Chemotaxis in bacteria.
TL;DR: Motile Escherichia coli placed at one end of a capillary tube containing an energy source and oxygen migrate out into the tube in one or two bands, which can also be demonstrated by photography, microscopy, and densitometry and by assaying for bacteria throughout the tube as discussed by the authors.
Journal ArticleDOI
Chemoreceptors in Bacteria
TL;DR: In the early 1900s, it was known that motile bacteria are attracted to a variety of small organic molecules as mentioned in this paper, but few scientists were interested in bacterial chemotaxis, probably because they were unwilling to believe that these lowly organisms possessed any capability for information processing or could exhibit even simple forms of behavior.