Bacterial chemotaxis without gradient-sensing

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• 作者：Changwook Yoon ; Yong-Jung Kim
• 关键词：Chemotaxis ; Phase plane analysis ; Starvation driven diffusion ; Keller–Segel equation ; Pulse and front type traveling waves ; 92C17 ; 35K51 ; 35K59
• 刊名：Journal of Mathematical Biology
• 出版年：2015
• 出版时间：May 2015
• 年：2015
• 卷：70
• 期：6
• 页码：1359-1380
• 全文大小：542 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematical Biology
  Applications of Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1416

文摘

Chemotaxis models are based on spatial or temporal gradient measurements by individual organisms. The key contribution of Keller and Segel (J Theor Biol 30:225-34, 1971a; J Theor Biol 30:235-48, 1971b) is showing that erratic measurements of individuals may result in an accurate chemotaxis phenomenon as a group. In this paper we provide another option to understand chemotactic behavior when individuals do not sense the gradient of chemical concentration by any means. We show that, if individuals increase their dispersal rate to find food when there is not enough food, an accurate chemotactic behavior may be obtained without sensing the gradient. Such a dispersal has been suggested by Cho and Kim (Bull Math Biol 75:845-70, 2013) and was called starvation driven diffusion. This model is surprisingly similar to the original Keller–Segel model. A comprehensive picture of traveling bands and fronts is provided.