Gasparian G, Balaian M, Grigorian A, Akopian A, Manvelian A, Mirzabekian S, Trchunian A, Pepoian A
Biofizika. 2013 Jul-Aug;58(4):690-6.
Verhulst's logistic differential equation, popular in mathematical ecology, is used in modeling of population growth, neural networks, statistics, reaction models, Fermi distribution, modeling of tumor growth, etc. We used this function to characterize growth of commensal Escherichia coli isolates from gut microflora in Crohn's disease patients. The results of our investigations show differences in growth parameters of commensal E. coli, isolated from the gut microflora in Crohn's disease patients and healthy volunteers; it is most likely explained by the influence of chronic inflammatory processes on growth and reproduction of these bacteria. It has been established that the used mathematical model well characterizes growth of patients' gut E. coli isolates, and it can be important for the expedient probiotics' application during the disease.
在数学生态学中广为人知的韦尔哈斯特逻辑微分方程，被用于种群增长建模、神经网络、统计学、反应模型、费米分布、肿瘤生长建模等。我们使用此函数来表征克罗恩病患者肠道微生物群中共生大肠杆菌分离株的生长情况。我们的研究结果显示，从克罗恩病患者和健康志愿者的肠道微生物群中分离出的共生大肠杆菌，其生长参数存在差异；这很可能是由慢性炎症过程对这些细菌生长和繁殖的影响所导致的。已经证实，所使用的数学模型能很好地表征患者肠道大肠杆菌分离株的生长情况，这对于在疾病期间合理应用益生菌可能具有重要意义。
