论文标题
爱因斯坦的趋化系统和行进带的布朗运动模型
Einstein's Brownian motion model for chemotactic system and traveling band
论文作者
论文摘要
我们根据部分差分进化方程的系统研究生物体以带形式的生物体向化学底物的运动。我们结合了爱因斯坦的布朗运动方法，以推断出展示旅行带的趋化模型。这是第一次使用爱因斯坦方法来激励描述趋化系统相互作用的方程式。除了考虑趋化反应和生物体的随机运动外，我们还考虑了有机体通过社区内部或社区之间的相互作用形成人群的形成。这种人群效应也可以看作是任何生物体旅行或在牛群或群体中迁移以寻找食物。我们已经表明，在有限和无限的基板存在的情况下，可以实现旅行带，并且已经对其进行了相应的解释。
We study the movement of the living organism in a band form towards the presence of chemical substrate based on a system of partial differential evolution equations. We incorporate the Einstein's method of Brownian motion to deduce the chemotactic model exhibiting travelling band. It is the first time that Einstein method has been used to motivate equations describing mutual interaction of chemotactic system. In addition to considering chemotactic response and the random motion of organism, we also consider the formation of crowd by organism via interactions within or between the community. This crowd effect can also be seen as any organism travel or migrate in a herd or group in search of food. We have shown that in the presence of limited and unlimited substrate traveling bands are achievable and it has been explained accordingly.
