Skip to main content
SpringerLink
Log in

PHYSICOMATHEMATICAL MODELING OF HUMAN BREATHING IN SITUATIONS OF VARIOUS PULMONARY DISEASES

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

Three-dimensional numerical simulations of the air flow in the full human bronchial tree in situations of obstructive and chronic pulmonary diseases are performed. Based on the previously developed three-dimensional analytical model of the lower respiratory airways, the air distributions in the lungs (from the trachea to alveoli) in situations with lung injuries and bronchial asthma are calculated. Breathing modeling is based on a numerical technique of step-by-step computations, which allows one to avoid the loss of solution accuracy caused by the difference in the bronchus scales; moreover, the time needed to calculate the air flow in the lungs can be reduced by several times by using this technique.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

REFERENCES

  1. S. K. Chong and A. J. Peter, “Respiratory dose of Inhaled Ultrafine Particles in Healthy Adults," Philos. Trans. Roy. Soc. A. Math., Phys. Engng Sci. 358 (1775), 2693–2705 (2000).

    Article  Google Scholar 

  2. E. V. Bystritskaya and T. N. Bilichenko, “Incidence of Diseases, Disability, and Morbidity due to Respiratory Diseases in the Russian Federation (2015–2019)," Pulmonolog. 31 (5), 551–561 (2021).

    Article  Google Scholar 

  3. A. E. Medvedev and P. S. Gafurova, “Analytical Design of the Human Bronchial Tree for Healthy Patients and Patients with Obstructive Pulmonary Diseases," Math. Biology Bioinformatics 14 (2), 635–648 (2019).

    Article  Google Scholar 

  4. A. E. Medvedev, “Method of Constructing an Asymmetric Human Bronchial Tree in Normal and Pathological Cases," Math. Biology Bioinformatics 15 (2), 148–157 (2020).

    Article  Google Scholar 

  5. A. F. Tena, J. F. Francos, E. Álvarez, and P. Casan, “A Three Dimensional in SILICO Model for the Simulation of Inspiratory and Expiratory Airflow in Humans," Engng Appl. Comput. Fluid Mech. 9 (1), 187–198 (2015).

    Article  Google Scholar 

  6. A. E. Medvedev, V. M. Fomin, and P. S. Gafurova, “Three-Dimensional Model of the Human Bronchial Tree — Modeling of the Air Flow in Normal and Pathological Cases," Prikl. Mekh. Tekh. Fiz. 61 (1), 3–16 (2020) [J. Appl. Mech. Tech. Phys. 61 (1), 1–13 (2020)].

    Article  ADS  MathSciNet  Google Scholar 

  7. V. M. Fomin, V. N. Vetlutsky, V. L. Ganimedov, et al., “Air Flow in the Human Nasal Cavity," Prikl. Mekh. Tekh. Fiz. 51 (2), 107–115 (2010) [J. Appl. Mech. Tech. Phys. 51 (2), 133–240 (2010)].

    Article  MathSciNet  Google Scholar 

  8. M. R. Miller, J. Hankinson, V. Brusasco, et al. “Standardisation of Spirometry," Europ. Respiratory J. 26 (2), 319–338 (2005).

    Article  CAS  PubMed  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

    P. S. Golysheva & A. E. Medvedev

Authors
  1. P. S. Golysheva
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. E. Medvedev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to P. S. Golysheva.

Additional information

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2023, Vol. 64, No. 6, pp. 114-118. https://doi.org/10.15372/PMTF20230614.

Publisher’s Note. Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Golysheva, P.S., Medvedev, A.E. PHYSICOMATHEMATICAL MODELING OF HUMAN BREATHING IN SITUATIONS OF VARIOUS PULMONARY DISEASES. J Appl Mech Tech Phy 64, 1041–1045 (2023). https://doi.org/10.1134/S0021894423060147

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021894423060147

Keywords

Search

Navigation