Analytical design of the human bronchial tree for healthy patients and patients with obstructive pulmonary diseases

A. E. Medvedev, P. S. Gafurova

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)635-648
Number of pages14
JournalMathematical Biology and Bioinformatics
Volume14
Issue number2
DOIs
Publication statusPublished - 1 Feb 2019

Keywords

  • Bifurcation
  • Bronchial tree
  • Human lungs
  • Respiratory system
  • Simulation

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