Abstract:
The article is devoted to the main aspects of the development of a mathematical model of the human respiratory system taking into account the effects of environmental factors. The proposed model is a submodel of "meso-level" multilayered mathematical model of the evolution of functional disorders of the human body. The conceptual and mathematical formulations of the problem are discussed. The breathing is considered as a set of synchronized processes of gas dynamics, deformation of the porous medium and diffusion. The results of the calculation of the air flow characteristics during quiet breathing and forced breath in the first four generations of large airways were obtained by using software ANSYS Fluent. Further development of the model involves the joint problem solving of changes in lung configuration and in gasdynamic processes in the human airway.
Received 22.04.2015, 05.11.2015, Published 13.04.2016
Document Type:
Article
UDC:
533: 612.2
Language: Russian
Citation:
P. V. Trusov, N. V. Zaitseva, M. Yu. Tsinker, “Modeling of human breath: conceptual and mathematical statements”, Mat. Biolog. Bioinform., 11:1 (2016), 64–80
This publication is cited in the following 20 articles:
O. B. Zelmanski, V. A. Bogush, “Apparatus for Early Detection of Respiratory Diseases Aggravated by Respiratory Failure and Apnea-Hypopnea Syndrome”, Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki, 23:1 (2025), 21
Petr Valentinovich Trusov, Nina Vladimirovna Zaitseva, Mikhail Yurevich Tsinker, Vladislav Vladimirovich Nurislamov, “Modelirovanie techeniya vozdukha v uprugo-deformiruemoi poristoi srede, approksimiruyuschei legkie cheloveka: struktura modeli, ee osnovnye uravneniya i razreshayuschie sootnosheniya”, Comp. Contin. Mech., 17:2 (2024), 219
Peter V. Trusov, Nina V. Zaitseva, Mikhail Yu. Tsinker, Polina D. Svintsova, INTERNATIONAL CONFERENCE ON CONTEMPORARY CHALLENGES IN SCIENCE, ENGINEERING AND ITS APPLICATIONS – Part II: IC3SEA 2023, 3246, INTERNATIONAL CONFERENCE ON CONTEMPORARY CHALLENGES IN SCIENCE, ENGINEERING AND ITS APPLICATIONS – Part II: IC3SEA 2023, 2024, 060005
Peter V. Trusov, Nina V. Zaitseva, Mikhail Yu. Tsinker, Artur I. Kuchukov, INTERNATIONAL CONFERENCE ON CONTEMPORARY CHALLENGES IN SCIENCE, ENGINEERING AND ITS APPLICATIONS – Part II: IC3SEA 2023, 3246, INTERNATIONAL CONFERENCE ON CONTEMPORARY CHALLENGES IN SCIENCE, ENGINEERING AND ITS APPLICATIONS – Part II: IC3SEA 2023, 2024, 060004
Peter V. Trusov, Mikhail Yu. Tsinker, 30TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES, 2627, 30TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES, 2023, 050012
P. V. Trusov, N. V. Zaitseva, M. Yu. Tsinker, A. I. Kuchukov, “Chislennoe issledovanie nestatsionarnogo techeniya zapylennogo vozdukha i osedaniya pylevykh chastits razlichnykh razmerov v nizhnikh dykhatelnykh putyakh cheloveka”, Matem. biologiya i bioinform., 18:2 (2023), 347–366
Peter V. Trusov, Nina V. Zaitseva, Mikhail Yu. Tsinker, Aleksandra V. Nekrasova, 30TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES, 2627, 30TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES, 2023, 060004
N. I. Aralova, “MATHEMATICAL MODELS OF HUMAN RESPIRATORY AND BLOOD CIRCULATORY SYSTEMS”, Biotechnol. acta, 15:1 (2022), 23
A. E. Medvedev, P. S. Golysheva, “Modelirovanie dvizheniya vozdukha v legkikh cheloveka pri dykhanii. Dinamika osazhdeniya kapel zhidkosti pri primenenii aerozolnykh form lekarstvennykh sredstv”, Matem. biologiya i bioinform., 16:2 (2021), 422–438
P. V. Trusov, N. V. Zaitseva, M. Yu. Tsinker, A. V. Nekrasova, “Matematicheskaya model techeniya vozdukha s tverdymi chastitsami v nosovoi polosti cheloveka”, Matem. biologiya i bioinform., 16:2 (2021), 349–366
Petr V. Trusov, Natalya V. Zaitseva, Michail Yu. Tsinker, 29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES, 2371, 29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES, 2021, 060005
Kamaltdinov M.R., Trusov P.V., Zaitseva N.V., “A Mathematical Model For Multiphase Flow in the Antroduodenum With the Consideration of the Neurohumoral Regulation”, AIP Conference Proceedings, 2216, eds. Matveenko V., Trusov P., Yants A., Faerman V., Amer Inst Physics, 2020, 060003
Trusov P.V., Zaitseva N.V., Tsinker M.Yu., “A Mathematical Model of the Human Respiratory System Considering Environmental Influence”, AIP Conference Proceedings, 2216, eds. Matveenko V., Trusov P., Yants A., Faerman V., Amer Inst Physics, 2020, 060007
A. E. Medvedev, “Metodika postroeniya nesimmetrichnogo bronkhialnogo dereva cheloveka v norme i pri patologii”, Matem. biologiya i bioinform., 15, Suppl. (2020), 21–31
A. E. Medvedev, “Metodika postroeniya nesimmetrichnogo bronkhialnogo dereva cheloveka v norme i pri patologii”, Matem. biologiya i bioinform., 15:2 (2020), 148–157
A. E. Medvedev, P. S. Gafurova, “Analiticheskoe postroenie polnogo bronkhialnogo dereva cheloveka v norme i pri obstruktivnoi bolezni legkikh”, Matem. biologiya i bioinform., 14, Suppl. (2019), 62–75
A. E. Medvedev, P. S. Gafurova, “Analiticheskoe postroenie polnogo bronkhialnogo dereva cheloveka v norme i pri obstruktivnoi bolezni legkikh”, Matem. biologiya i bioinform., 14:2 (2019), 635–648
M. Kamaltdinov, P. Trusov, N. Zaitseva, “A multiphase flow in the antroduodenum: some results of the mathematical modelling and computational simulation”, 13Th National Congress on Theoretical and Applied Mechanics (NCTAM 2017), Matec Web of Conferences, 145, eds. V. Vassilev, S. Nikolov, M. Datcheva, Y. Ivanova, EDP Sciences, 2018, 04002
P. V. Trusov, N. V. Zaitseva, M. R. Kamaltdinov, “A Multiphase Flow in the Antroduodenal Portion of the Gastrointestinal Tract: A Mathematical Model”, Computational and Mathematical Methods in Medicine, 2016 (2016), 1
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