APPLICATIONS OF FRACTAL ANALYSIS TO PHYSIOLOGY

被引:207
作者
GLENNY, RW
ROBERTSON, HT
YAMASHIRO, S
BASSINGTHWAIGHTE, JB
机构
[1] UNIV WASHINGTON,DEPT MED,WD-12,SEATTLE,WA 98195
[2] UNIV WASHINGTON,CTR BIOENGN,SEATTLE,WA 98195
关键词
MATHEMATICAL ANALYSIS; HETEROGENEITY; SPATIAL CORRELATION; TEMPORAL CORRELATION; MICROCIRCULATION; MORPHOLOGY; BLOOD FLOW DISTRIBUTION;
D O I
10.1152/jappl.1991.70.6.2351
中图分类号
Q4 [生理学];
学科分类号
071003 ;
摘要
This review describes approaches to the analysis of fractal properties of physiological observations. Fractals are useful to describe the natural irregularity of physiological systems because their irregularity is not truly random and can be demonstrated to have spatial or temporal correlation. The concepts of fractal analysis are introduced from intuitive, visual, and mathematical perspectives. The regional heterogeneities of pulmonary and myocardial flows are discussed as applications of spatial fractal analysis, and methods for estimating a fractal dimension from physiological data are presented. Although the methods used for fractal analyses of physiological data are still under development and will require additional validation, they appear to have great potential for the study of physiology at scales of resolution ranging from the microcirculation to the intact organism.
引用
收藏
页码:2351 / 2367
页数:17
相关论文
共 44 条
[11]   DIAMETER, LENGTH AND BRANCHING RATIOS IN BRONCHIAL TREE [J].
HORSFIELD, K ;
RELEA, FG ;
CUMMING, G .
RESPIRATION PHYSIOLOGY, 1976, 26 (03) :351-356
[12]   MORPHOMETRY OF SMALL PULMONARY-ARTERIES IN MAN [J].
HORSFIELD, K .
CIRCULATION RESEARCH, 1978, 42 (05) :593-597
[13]   MORPHOLOGY OF BRONCHIAL TREE IN MAN [J].
HORSFIELD, K ;
CUMMING, G .
JOURNAL OF APPLIED PHYSIOLOGY, 1968, 24 (03) :373-+
[14]   DIAMETERS AND CROSS-SECTIONAL AREAS OF BRANCHES IN THE HUMAN PULMONARY ARTERIAL TREE [J].
HORSFIELD, K ;
WOLDENBERG, MJ .
ANATOMICAL RECORD, 1989, 223 (03) :245-251
[15]  
HORSFILED K, 1990, Journal of Applied Physiology, V68, P457
[16]  
Hurst H., 1965, LONG TERM STORAGE EX
[17]  
KISLYAKOV YY, 1987, INT J MICROCIRC, V6, P3
[18]  
Langman J., 1975, MED EMBRYOLOGY HUMAN
[19]   TELEONOMICAL OPTIMIZATION OF A FRACTAL MODEL OF THE PULMONARY ARTERIAL BED [J].
LEFEVRE, J .
JOURNAL OF THEORETICAL BIOLOGY, 1983, 102 (02) :225-248
[20]   FRACTAL SURFACES OF PROTEINS [J].
LEWIS, M ;
REES, DC .
SCIENCE, 1985, 230 (4730) :1163-1165