کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1136730 | 1489159 | 2011 | 15 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: The volcano effect in bacterial chemotaxis The volcano effect in bacterial chemotaxis](/preview/png/1136730.png)
A population-level model of bacterial chemotaxis is derived from a simple bacterial-level model of behavior. This model, to be contrasted with the Keller–Segel equations, exhibits behavior we refer to as the “volcano effect”: steady-state bacterial aggregation forming a ring of higher density some distance away from an optimal environment. The model is derived, as in Erban and Othmer (2004) [1], from a transport equation in a state space including the internal biochemical variables of the bacteria and then simplified with a truncation at low moments with respect to these variables. We compare the solutions of the model to stochastic simulations of many bacteria, as well as the classic Keller–Segel model. This model captures behavior that the Keller–Segel model is unable to resolve, and sheds light on two different mechanisms that can cause a volcano effect.
Journal: Mathematical and Computer Modelling - Volume 53, Issues 7–8, April 2011, Pages 1374–1388