一种异养生物膜密度分布的分形特征  

Fractal Characteristics of the Density Distribution in Heterogeneous Biofilms

作　　者：余国忠[1] 高长海[2] 贾昌虎 陈莲芳 

机构地区：[1]信阳师范学院,河南信阳464000 [2]安阳师范学院,河南安阳455002 [3]信阳市环境保护研究所,河南信阳464000

出　　处：《信阳师范学院学报（自然科学版）》2008年第1期61-63,72,共4页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：河南省自然科学基金项目(0311021400);河南省高校杰出科研人才创新工程项目(2007KYCX015)

摘　　要：正常生长的异养生物膜密度D随生物膜厚度d增加而变化,D与d之间具有双自然对数拟和关系,可以lnd=DflnD+lnm或d=m.D-Df来表示;d=m.D-Df表征了异养生物膜密度的空间变化具有分形特征,其分维数可用豪斯道夫维数表示,豪斯道夫维数Df值的变化反映了生物膜的密度分布特征及生物膜系统演化特征.The densities D of normally growing heterogeneous biofilms changed with biofilm depths d. There was a highly positive correlation of double natural logarithm between D and d, which could be expressed as lnd = DflnD ＋lnm or d = m · D^-Df, the correlation coefficients decreased with the increase of d. The formula d = m · D^ -Df indicates that the spatial changes of D present fractal features, the fractal dimensions represented with Df defined as Hausdorff dimension,which values reflected fractal characteristics of the spatial distribution of D and the change of the biofilms＇phases.

关 键 词：异养生物膜 生物膜密度 密度分布 分形 

分 类 号：X172[环境科学与工程—环境科学]