单种群杆菌简单波动生长的数学模型  

A mathematical model for simple wave growth of a single bacillus population

作　　者：王开发[1] 刘俊康[2] 徐启旺[2] 

机构地区：[1]第三军医大学基础医学部数学教研室,重庆400038 [2]第三军医大学生物波研究中心,重庆400038

出　　处：《第三军医大学学报》2000年第2期182-184,共3页Journal of Third Military Medical University

摘　　要：目的 :量化探讨单种群杆菌简单波动生长的过程 ,定量认识单种群杆菌产生简单波动的原因。方法 :以奇异变形杆菌为研究对象 ,以生物实验研究方法和数学演绎推理二者结合进行讨论。结果 :在经典Logistic模型基础上 ,得到描述单种群杆菌简单波动生长的推广Logistic模型。结论 :该模型及解定量直观地反映了细菌增殖 -扩散 -增殖的自组织过程。Objective: To quantitate the study of the progress and causes of the simple wave growth of a single bacillus population. Methods: The laboratory technique of biological observation and mathematical analysis were used to study the growth of proteus mirabilis. Results: On the basis of classic logistic model, an improved logistic model for the simple wave growth of a single bacillus population of Proteus mirabilis was obtained. Conclusion: Our model and its solution directly reveal the auto organization process of proliferation spreading proliferation of Proteus mirabilis.

关 键 词：LOGISTIC模型 单种群杆菌 波动生长 

分 类 号：Q93－3[生物学—微生物学]