Dillon R, Fauci L, Gaver D
Department of Mathematics, Tulane University, New Orleans, LA 70118, USA.
J Theor Biol. 1995 Dec 21;177(4):325-40. doi: 10.1006/jtbi.1995.0251.
In this paper, we introduce a mathematical and computational model at the microscale level of bacterial motility and chemotaxis coupled with the advection and diffusion of a biologically reacting substrate. The hydrodynamic interaction of a small bacterial population is explicitly modelled through the use of discrete representations of individual microbes. We use the immersed boundary method to couple microbial motion and the advection-diffusion of substrate with the full incompressible Navier-Stokes equations. Simulations using a preliminary two-dimensional model are presented, demonstrating the mutual dependence through the fluid media of several swimming bacteria. A run and tumble mechanism is introduced for simulating the chemotaxis of swimming bacteria.
在本文中，我们引入了一个微观尺度的数学和计算模型，该模型涉及细菌运动性和趋化性，以及生物反应底物的平流和扩散。通过对单个微生物的离散表示，明确地模拟了少量细菌群体的流体动力学相互作用。我们使用浸入边界方法，将微生物运动以及底物的平流扩散与完整的不可压缩纳维-斯托克斯方程相耦合。本文给出了使用初步二维模型进行的模拟，展示了几种游动细菌通过流体介质的相互依赖性。引入了一种“跑-停”机制来模拟游动细菌的趋化性。
