Kinetic Models for Chemotaxis and their Drift-Diffusion Limits-Reference-Cited by-同舟云学术

Kinetic Models for Chemotaxis and their Drift-Diffusion Limits

Published:2004 Issue: Volume: Page:123-141
ISSN:
Container-title:Nonlinear Differential Equation Models
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Author:

Chalub Fabio A. C. C.,Markowich Peter A.,Perthame Benoît,Schmeiser Christian

Publisher

Springer Vienna

Link

http://link.springer.com/content/pdf/10.1007/978-3-7091-0609-9_10.pdf

Reference30 articles.

1. Alt W (1980) Orientation of cells migrating in a chemotactic gradient. In: Biological Growth and Spread (Proc Conf Heidelberg, 1979). Lect Notes Biomath 38: 353–366. Berlin Heidelberg New York: Springer

2. Alt W (1980) Biased random walk models for chemotaxis and related diffusion approximations. J Math Biol 9:147–177

3. Bren A, Eisenbach M (2000) How signals are heard during bacterial chemotaxis: protein—protein interaction in sensory signal propagation. J Bacteriol 182: 6865–6873

4. Brenner MP, Constantin P, Kadanoff LP, Schenkel A, Venkataramani SC (1999) Diffusion, attraction and collapse. Nonlinearity 12: 1071–1098

5. Dautray R, Lions J-L (1988) Analyse Mathématique et cacul numérique pour les sciences et les techniques, Ch. XXI Paris: Masson

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