Modeling a self-propelled autochemotactic walker.

Modeling a self-propelled autochemotactic walker.
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模拟自走式趋化步行器

DOI:
10.1103/physreve.84.041924
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发表时间:
2011
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
H. Stark
H. Stark
中科院分区:
--
文献类型:
--
作者:
J. Taktikos;V. Zaburdaev;H. Stark

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我们开发了一个微生物随机动力学的最小模型,其中个体通过自动趋化性进行交流。这意味着微生物,如细菌,变形虫或细胞,遵循它们自己产生的化学物质的梯度来吸引或排斥彼此。微生物被表示为具有恒定速度的自推进颗粒或步行者,而其速度方向在单位圆上扩散。我们研究了一个单一的自我推进的步行者的动力学是非马尔可夫的自趋化反应。我们表明,它的长时间动力学总是扩散的弱耦合和强耦合的情况下,通过推导其扩散系数的解析表达式。我们通过数值模拟证实了我们的发现。
We develop a minimal model for the stochastic dynamics of microorganisms where individuals communicate via autochemotaxis. This means that microorganisms, such as bacteria, amoebae, or cells, follow the gradient of a chemical that they produce themselves to attract or repel each other. A microorganism is represented as a self-propelled particle or walker with constant speed while its velocity direction diffuses on the unit circle. We study the autochemotactic response of a single self-propelled walker whose dynamics is non-Markovian. We show that its long-time dynamics is always diffusive by deriving analytic expressions for its diffusion coefficient in the weak- and strong-coupling case. We confirm our findings by numerical simulations.
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