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Analytical design of the human bronchial tree for healthy patients and patients with obstructive pulmonary diseases. / Medvedev, A. E.; Gafurova, P. S.

In: Mathematical Biology and Bioinformatics, Vol. 14, No. 2, 01.02.2019, p. 635-648.

Research output: Contribution to journal › Article › peer-review

Harvard

Medvedev, AE & Gafurova, PS 2019, 'Analytical design of the human bronchial tree for healthy patients and patients with obstructive pulmonary diseases', Mathematical Biology and Bioinformatics, vol. 14, no. 2, pp. 635-648. https://doi.org/10.17537/2019.14.635

APA

Medvedev, A. E., & Gafurova, P. S. (2019). Analytical design of the human bronchial tree for healthy patients and patients with obstructive pulmonary diseases. Mathematical Biology and Bioinformatics, 14(2), 635-648. https://doi.org/10.17537/2019.14.635

Vancouver

Medvedev AE, Gafurova PS. Analytical design of the human bronchial tree for healthy patients and patients with obstructive pulmonary diseases. Mathematical Biology and Bioinformatics. 2019 Feb 1;14(2):635-648. doi: 10.17537/2019.14.635

Author

Medvedev, A. E. ; Gafurova, P. S. / Analytical design of the human bronchial tree for healthy patients and patients with obstructive pulmonary diseases. In: Mathematical Biology and Bioinformatics. 2019 ; Vol. 14, No. 2. pp. 635-648.

BibTeX

@article{635da8983b134450accc65616728787f,
title = "Analytical design of the human bronchial tree for healthy patients and patients with obstructive pulmonary diseases",
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.",
keywords = "Bifurcation, Bronchial tree, Human lungs, Respiratory system, Simulation",
author = "Medvedev, {A. E.} and Gafurova, {P. S.}",
year = "2019",
month = feb,
day = "1",
doi = "10.17537/2019.14.635",
language = "English",
volume = "14",
pages = "635--648",
journal = "Mathematical Biology and Bioinformatics",
issn = "1994-6538",
publisher = "Institute of Mathematical Problems of Biology",
number = "2",

}

RIS

TY - JOUR

T1 - Analytical design of the human bronchial tree for healthy patients and patients with obstructive pulmonary diseases

AU - Medvedev, A. E.

AU - Gafurova, P. S.

PY - 2019/2/1

Y1 - 2019/2/1

N2 - 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.

AB - 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.

KW - Bifurcation

KW - Bronchial tree

KW - Human lungs

KW - Respiratory system

KW - Simulation

UR - http://www.scopus.com/inward/record.url?scp=85083234231&partnerID=8YFLogxK

U2 - 10.17537/2019.14.635

DO - 10.17537/2019.14.635

M3 - Article

AN - SCOPUS:85083234231

VL - 14

SP - 635

EP - 648

JO - Mathematical Biology and Bioinformatics

JF - Mathematical Biology and Bioinformatics

SN - 1994-6538

IS - 2

ER -

ID: 24160739