Dockery J D, Keener J P
Department of Mathematics, Montana State University, Bozeman, MT 59718, USA.
Bull Math Biol. 2001 Jan;63(1):95-116. doi: 10.1006/bulm.2000.0205.
The bacteria Pseudomonas aeruginosa use the size and density of their colonies to regulate the production of a large variety of substances, including toxins. This phenomenon, called quorum sensing, apparently enables colonies to grow to sufficient size undetected by the immune system of the host organism. In this paper, we present a mathematical model of quorum sensing in P. aeruginosa that is based on the known biochemistry of regulation of the autoinducer that is crucial to this signalling mechanism. Using this model we show that quorum sensing works because of a biochemical switch between two stable steady solutions, one with low levels of autoinducer and one with high levels of autoinducer.
铜绿假单胞菌利用其菌落的大小和密度来调节多种物质的产生，包括毒素。这种现象被称为群体感应，显然能使菌落在未被宿主生物体免疫系统察觉的情况下生长到足够的大小。在本文中，我们基于对群体感应至关重要的自诱导物调节的已知生物化学原理，提出了一个铜绿假单胞菌群体感应的数学模型。利用这个模型我们表明，群体感应起作用是因为在两种稳定稳态解之间存在一种生化转换，一种是低水平自诱导物，另一种是高水平自诱导物。
