Horsfield K
King Edward VII Hospital, Midhurst, West Sussex, United Kingdom.
J Appl Physiol (1985). 1990 Feb;68(2):457-61. doi: 10.1152/jappl.1990.68.2.457.
Studies of bronchial tree data by West et al. (J. Appl. Physiol. 60: 1089-1097, 1986) have shown that plots of mean diameter against generation, using log-log scales, can be represented by a power function with harmonic modulations. Other studies have shown that the mean diameter of the airways is exponentially related to order of branching. This paper demonstrates that both observations are compatible with a fractal model of branching, and because airway branching is fractal, this may explain why both are also true of the bronchial tree. Furthermore, the exponential relationship of mean diameter with generation in the larger airways, demonstrated by Weibel, is shown to result from the exponential relation of diameter with order in the fractal model.
韦斯特等人（《应用生理学杂志》，第60卷，第1089 - 1097页，1986年）对支气管树数据的研究表明，使用对数 - 对数尺度绘制的平均直径与分支级数的关系图，可以用具有谐波调制的幂函数来表示。其他研究表明，气道的平均直径与分支顺序呈指数关系。本文证明这两种观察结果都与分支的分形模型兼容，并且由于气道分支是分形的，这可能解释了为什么支气管树的这两个特征也是成立的。此外，韦贝尔所证明的较大气道中平均直径与分支级数的指数关系，在分形模型中被证明是直径与顺序的指数关系所导致的。
