A DIAMETER-BASED RECONSTRUCTION OF THE BRANCHING PATTERN OF THE HUMAN BRONCHIAL TREE .2. MATHEMATICAL FORMULATION

被引:8
作者
PHILLIPS, CG [1 ]
KAYE, SR [1 ]
SCHROTER, RC [1 ]
机构
[1] UNIV LONDON IMPERIAL COLL SCI TECHNOL & MED,DEPT MATH,LONDON SW7 2BY,ENGLAND
来源
RESPIRATION PHYSIOLOGY | 1994年 / 98卷 / 02期
关键词
BRANCHING PATTERN; BRONCHIAL TREE; MAMMALS; HUMANS; MODEL; HUMAN BRONCHIAL;
D O I
10.1016/0034-5687(94)00043-3
中图分类号
Q4 [生理学];
学科分类号
071003 ;
摘要
In this paper we present the mathematical details of the diameter-based reconstruction technique used in the companion paper (Phillips et al., 1994 - referred to below as Part I) to analyse the morphometric data of Raabe et al. (1976) on the human bronchial tree. In the first section we outline the technique as applied to the incomplete set of measurements in order to estimate properties of the bronchial tree as a whole; in the second section we consider what form these properties would take if the bronchial tree were geometrically self-similar, as has often been assumed to be approximately the case.
引用
收藏
页码:219 / 226
页数:8
相关论文
共 3 条
[1]  
Mandelbrot B. B., 1977, FRACTAL GEOMETRY NAT
[2]  
PHILLIPS CG, 1994, RESPIR PHYSL, V98, P181
[3]  
RAABE OG, 1976, LF53 LOV F MED ED RE