Method of constructing an asymmetric human bronchial tree in normal and pathological cases

Standard

Method of constructing an asymmetric human bronchial tree in normal and pathological cases. / Medvedev, A. E.

In: Mathematical Biology and Bioinformatics, Vol. 15, No. 2, 2020, p. 148-157.

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

Harvard

Medvedev, AE 2020, 'Method of constructing an asymmetric human bronchial tree in normal and pathological cases', Mathematical Biology and Bioinformatics, vol. 15, no. 2, pp. 148-157. https://doi.org/10.17537/2020.15.148

APA

Medvedev, A. E. (2020). Method of constructing an asymmetric human bronchial tree in normal and pathological cases. Mathematical Biology and Bioinformatics, 15(2), 148-157. https://doi.org/10.17537/2020.15.148

Vancouver

Medvedev AE. Method of constructing an asymmetric human bronchial tree in normal and pathological cases. Mathematical Biology and Bioinformatics. 2020;15(2):148-157. doi: 10.17537/2020.15.148

Author

Medvedev, A. E. / Method of constructing an asymmetric human bronchial tree in normal and pathological cases. In: Mathematical Biology and Bioinformatics. 2020 ; Vol. 15, No. 2. pp. 148-157.

BibTeX

@article{251ed3bfe61f4a1c9553379ee8dbcd09,

title = "Method of constructing an asymmetric human bronchial tree in normal and pathological cases",

abstract = "The goal of the study is the analytical design of the full asymmetric human bronchial tree (irregular dichotomy) for healthy patients and patients with obstructive pulmonary diseases. For this purpose, the author has derived the special analytical formulas. 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; a level of the pathology is defined by two parameters: bronchus constriction level and level of distortion of the cylindrical shape of the bronchus. Closed analytical formulas allow a researcher to construct the human bronchial tree of an arbitrary complexity (up to alveoli); moreover, the parametric dependences make it possible to specify any desirable level of airway obstruction.",

keywords = "Bifurcation, Bronchial tree, Human lungs, Lung disease, Respiratory system, Simulation",

author = "Medvedev, {A. E.}",

year = "2020",

doi = "10.17537/2020.15.148",

language = "English",

volume = "15",

pages = "148--157",

journal = "Mathematical Biology and Bioinformatics",

issn = "1994-6538",

publisher = "Institute of Mathematical Problems of Biology",

number = "2",

}

RIS

TY - JOUR

T1 - Method of constructing an asymmetric human bronchial tree in normal and pathological cases

AU - Medvedev, A. E.

PY - 2020

Y1 - 2020

N2 - The goal of the study is the analytical design of the full asymmetric human bronchial tree (irregular dichotomy) for healthy patients and patients with obstructive pulmonary diseases. For this purpose, the author has derived the special analytical formulas. 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; a level of the pathology is defined by two parameters: bronchus constriction level and level of distortion of the cylindrical shape of the bronchus. Closed analytical formulas allow a researcher to construct the human bronchial tree of an arbitrary complexity (up to alveoli); moreover, the parametric dependences make it possible to specify any desirable level of airway obstruction.

AB - The goal of the study is the analytical design of the full asymmetric human bronchial tree (irregular dichotomy) for healthy patients and patients with obstructive pulmonary diseases. For this purpose, the author has derived the special analytical formulas. 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; a level of the pathology is defined by two parameters: bronchus constriction level and level of distortion of the cylindrical shape of the bronchus. Closed analytical formulas allow a researcher to construct the human bronchial tree of an arbitrary complexity (up to alveoli); moreover, the parametric dependences make it possible to specify any desirable level of airway obstruction.

KW - Bifurcation

KW - Bronchial tree

KW - Human lungs

KW - Lung disease

KW - Respiratory system

KW - Simulation

UR - http://www.scopus.com/inward/record.url?scp=85092508974&partnerID=8YFLogxK

U2 - 10.17537/2020.15.148

DO - 10.17537/2020.15.148

M3 - Article

AN - SCOPUS:85092508974

VL - 15

SP - 148

EP - 157

JO - Mathematical Biology and Bioinformatics

JF - Mathematical Biology and Bioinformatics

SN - 1994-6538

IS - 2

ER -

ID: 25601709