School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287, USA.
Math Biosci. 2011 Feb;229(2):149-59. doi: 10.1016/j.mbs.2010.12.001. Epub 2010 Dec 14.
A mathematical model of bacterial competition for a single growth-limiting substrate in serial transfer culture is formulated. Each bacterial strain is characterized by a growth response function, e.g. Monod function determined by a maximum growth rate and half-saturation nutrient concentration, and the length of its lag phase following the dilution event. The goal of our study is to understand what factors determine an organisms fitness or competitive ability in serial transfer culture. A motivating question is: how many strains can coexist in serial transfer culture? Unlike competition in the chemostat, coexistence of two strains can occur in serial transfer culture. Numerical simulations suggest that more than two may coexist.
建立了一个在连续传代培养中细菌竞争单一生长限制基质的数学模型。每个细菌菌株的特征由生长响应函数来描述，例如通过最大生长速率和半饱和营养浓度来确定的 Monod 函数，以及在稀释事件之后的滞后期的长度。我们研究的目标是了解哪些因素决定了生物体在连续传代培养中的适应性或竞争能力。一个有启发性的问题是：在连续传代培养中可以共存多少个菌株？与恒化器中的竞争不同，在连续传代培养中可以共存两个以上的菌株。数值模拟表明，可能共存的菌株多于两个。
