Stewart F M, Antia R, Levin B R, Lipsitch M, Mittler J E
Department of Mathematics, Brown University, Providence, Rhode Island 02912, USA.
Theor Popul Biol. 1998 Apr;53(2):152-65. doi: 10.1006/tpbi.1997.1352.
The phenomenon of antibiotic resistance is of practical importance and theoretical interest. As a foundation for further studies by simulation, experiment, and observation, we here develop a mathematical model for the dynamics of resistance among the bacteria resident in a population of hosts. The model incorporates the effects of natural selection within untreated hosts, colonization by bacteria from the environment, and the rapid increase of resistance in hosts who receive antibiotics. We derive explicit formulas for the distribution of resistance among hosts and for the rise or fall of resistance when the frequency of treatment is changed.
抗生素耐药现象具有实际重要性和理论研究价值。作为通过模拟、实验和观察进行进一步研究的基础，我们在此建立了一个数学模型，用于描述宿主群体中常驻细菌的耐药动态。该模型纳入了未治疗宿主内自然选择的影响、环境中细菌的定植以及接受抗生素治疗的宿主中耐药性的快速增加。我们推导出了宿主间耐药性分布以及治疗频率改变时耐药性上升或下降的显式公式。
