This article is cited in 24 papers

Mathematical Modeling

Modeling of human breath: conceptual and mathematical statements

P. V. Trusov^ab, N. V. Zaitseva^a, M. Yu. Tsinker<sup>ab

a</sup> Perm National Research Polytechnic University, Perm, Russia
^b Federal scientific center for medical and preventive health risk management technologies, Perm, Russia

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.

Key words: mathematical simulation, respiratory system, functional disorders.

UDC: 533: 612.2

Received 22.04.2015, 05.11.2015, Published 13.04.2016

DOI: 10.17537/2016.11.64