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Literature DB >> 1765737

Traveling waves in a chemotactic model.

Abstract

A model for chemotaxis in a bacteria-substrate mixture introduced by Keller and Segel, which is described by nonlinear partial differential equations, is studied analytically. The existence of traveling waves is shown for the system in which the substrate diffusion is taken into account and the chemotactic coefficient is greater than the motility one, and the instability of traveling waves is discussed.

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Year: 1991 PMID： 1765737 DOI： 10.1007/bf00160334

Source DB: PubMed Journal: J Math Biol ISSN： 0303-6812 Impact factor: 2.259

6 in total

Review 1. Chemotaxis in bacteria.

Authors: J Adler
Journal: Annu Rev Biochem Date: 1975 Impact factor: 23.643

2. Letter: traveling bands of chemotactic bacteria revisited.

Authors: G M Odell; E F Keller
Journal: J Theor Biol Date: 1976-01 Impact factor: 2.691

3. A model of herd grazing as a travelling wave, chemotaxis and stability.

Authors: S Gueron; N Liron
Journal: J Math Biol Date: 1989 Impact factor: 2.259

4. A numerical study of the formation and propagation of traveling bands of chemotactic bacteria.

Authors: T L Scribner; L A Segel; E H Rogers
Journal: J Theor Biol Date: 1974-07 Impact factor: 2.691

5. Traveling bands of chemotactic bacteria: a theoretical analysis.

Authors: E F Keller; L A Segel
Journal: J Theor Biol Date: 1971-02 Impact factor: 2.691

6. Spatio-temporal structure of migrating chemotactic band of Escherichia coli. I. Traveling band profile.

Authors: M Holz; S H Chen
Journal: Biophys J Date: 1979-05 Impact factor: 4.033

6 in total

4 in total

Traveling waves in a chemotactic model.

Review 1. Chemotaxis in bacteria.

2. Letter: traveling bands of chemotactic bacteria revisited.

3. A model of herd grazing as a travelling wave, chemotaxis and stability.

4. A numerical study of the formation and propagation of traveling bands of chemotactic bacteria.

5. Traveling bands of chemotactic bacteria: a theoretical analysis.

6. Spatio-temporal structure of migrating chemotactic band of Escherichia coli. I. Traveling band profile.

1. Bacterial chemotaxis without gradient-sensing.

2. Chemotaxis and chemokinesis in eukaryotic cells: the Keller-Segel equations as an approximation to a detailed model.

3. Mathematical description of bacterial traveling pulses.

4. Traveling Pulses for a Two-Species Chemotaxis Model.