Avalanches in the lung: A statistical mechanical model

Дата и время публикации : 1996-02-08T13:19:32Z

Авторы публикации и институты :
A. -L. Barabási (U. of Notre Dame)
S. V. Buldyrev (Boston University)
H. E. Stanley (Boston University)
B. Suki (Boston University)

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 4 pages, Figures avaliable by mail from alb@nd.edu, REVTEX
Первичная категория: cond-mat

Все категории : cond-mat

Краткий обзор статьи: We study a statistical mechanical model for the dynamics of lung inflation which incorporates recent experimental observations on the opening of individual airways by a cascade or avalanche mechanism. Using an exact mapping of the avalanche problem onto percolation on a Cayley tree, we analytically derive the exponents describing the size distribution of the first avalanches and test the analytical solution by numerical simulations. We find that the tree-like structure of the airways together with the simplest assumptions concerning opening threshold pressures of each airway, is sufficient to explain the existence of power-law distributions observed experimentally.

Category: Physics