Hofer, T. and Maini, P. K. and Sherratt, J. A. and Chaplain, M. A. J. and Murray, J. D. (1995) Resolving the chemotactic wave paradox: A mathematical model for chemotaxis of Dictyostelium amoebae. Journal of Biological Systems, 3 (4). pp. 967973.
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Abstract
The slime mould Dictyostelium discoideum is a widely studied paradigm for biological pattern formation. To provide an explanation for the apparently paradoxical behaviour of Dictyostelium amoebae in the symmetric chemoattractant waves which govern their aggregation, we extend the standard model for chemotaxis of a cell population by explicitly considering adaptation of the chemotactic signalling pathway. In the limiting cases of very fast and very slow adaptation kinetics the model equations reduce to the standard model which predicts cell movement opposite to the observed direction. Adaptation on an intermediate timescale, however, provides cells with a "shortterm memory" of experienced chemoattractant concentrations which can fully account for the experimental observation of cell translocation opposite to the direction of propagation of the chemoattractant waves.
Item Type:  Article 

Uncontrolled Keywords:  Chemotaxis; Dictyostelium; receptor adaptation; mathematical model 
Subjects:  A  C > Biology and other natural sciences 
Research Groups:  Centre for Mathematical Biology 
ID Code:  555 
Deposited By:  Philip Maini 
Deposited On:  11 Jan 2007 
Last Modified:  29 May 2015 18:24 
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Resolving the chemotactic wave paradox: A mathematical model for chemotaxis of Dictyostelium amoebae. (deposited 10 Dec 2006)
 Resolving the chemotactic wave paradox: A mathematical model for chemotaxis of Dictyostelium amoebae. (deposited 11 Jan 2007) [Currently Displayed]
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