论文标题
基于动力学转运方程的趋化聚集中火山ECT的数值研究
Numerical study of the volcano e ect in chemotactic aggregation based on a kinetic transport equation with non-instantaneous tumbling
论文作者
论文摘要
蒙特卡洛（MC）模拟基于动力学转运方程，研究了化学线索的单峰分布下趋化细菌的聚集，该模拟考虑了内部适应动力学以及有限的翻滚持续时间。发现适应时间存在两个不同的制度，在这些方案之间，适应时间对聚集行为的影响逆转；也就是说，当适应时间与运行持续时间一样小时，随着适应时间的增加，聚集变得越来越陡峭，而当适应时间与人口密度的扩散时间一样大时，随着适应时间的增加，聚集变得更加扩散。此外，当翻滚持续时间足够大时，在大型适应性持续时间时，聚集轮廓变为双峰（火山），而在小型适应时间方面总是单峰。这项研究的一个显着结果是鉴定了火山效应的参数状态和缩放。也就是说，通过将MC模拟的结果与在每个大小适应时间尺度上获得的连续限制模型进行比较，可以澄清的是，由于扩散，适应性和有限的倒闭持续时间的耦合而产生火山效应，这在大型适应时间量表处发生。
Aggregation of chemotactic bacteria under a unimodal distribution of chemical cues was investigated by Monte Carlo (MC) simulation based on a kinetic transport equation, which considers an internal adaptation dynamics as well as a finite tumbling duration. It was found that there exist two different regimes of the adaptation time, between which the effect of the adaptation time on the aggregation behavior is reversed; that is, when the adaptation time is as small as the running duration, the aggregation becomes increasingly steeper as the adaptation time increases, while, when the adaptation time is as large as the diffusion time of the population density, the aggregation becomes more diffusive as the adaptation time increases. Moreover, the aggregation profile becomes bimodal (volcano) at the large adaptation-time regime when the tumbling duration is sufficiently large while it is always unimodal at the small adaptation-time regime. A remarkable result of this study is the identification of the parameter regime and scaling for the volcano effect. That is, by comparing the results of MC simulations to the continuum-limit models obtained at each of the small and large adaptation-time scalings, it is clarified that the volcano effect arises due to the coupling of diffusion, adaptation, and finite tumbling duration, which occurs at the large adaptation-time scaling.
