Russian version English version
Volume 14   Issue 2   Year 2019
Analytical Design of the Human Bronchial Tree for Healthy Patients and Patients with Obstructive Pulmonary Diseases

Medvedev A.E., Gafurova P.S.

Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, Russia
Novosibirsk State University, Novosibirsk, Russia

Abstract. The study is aimed at the analytical design of the full human bronchial tree for healthy patients and patients with obstructive pulmonary diseases. Analytical formulas for design of the full bronchial tree are derived. All surfaces of the bronchial tree are matched with the second-order smoothness (there are no acute angles or ribs). The geometric characteristics of the human bronchial tree in the pathological case are modeled by a “starry” shape of the inner structure of the bronchus; the pathology degree is defined by two parameters: bronchus constriction level and degree of distortion of the cylindrical shape of the bronchus. Closed analytical formulas allow the human bronchial tree of an arbitrary complexity (up to alveoli) to be designed; moreover, the parametric dependences make it possible to specify any desirable degree of airway obstruction.

Key words: bronchial tree, simulation, human lungs, respiratory system, bifurcation.

Table of Contents Original Article
Math. Biol. Bioinf.
doi: 10.17537/2019.14.635
published in English

Abstract (eng.)
Abstract (rus.)
Full text (eng., pdf)
References Translation into Russian
Math. Biol. Bioinf.
doi: 10.17537/2019.14.t62

Full text (rus., pdf)


  Copyright IMPB RAS © 2005-2024