The article considers the aim of modeling humax respiratory system structure for predicting the change of physiological parameters at different methods of physical influence such as operated reduction in breathing circuit. The developed complex of mathematical models includes: equations of mass rate and masstransfer rate in lung channels at arborization of auriferous ways according to the rule of right dichotomy; equations of breathing muscles dynamics, based on moving of cylinder wall in radial and axial directions; special functions, providing automatic muscles turning on and turning off when lungs reach minimal and maximal set volume at inhale/exhale. The article shows the results of numerical modeling of functioning of the sophisticated biotechnical complex «Corrective action facilities – humax respiratory system» in the form of pressure charts and volume flow which the lungs generate in different regimes of resistance in breathing circuit. The results acquired qualitatively and quantitatively reflect the biomechanics of the number of processes which accompany breathing. The developed complex of interconnected mathematical models allows to fulfill specific multiparametric modeling of the dynamics of functioning of the complex biotechnical system «Corrective action facilities – humax respiratory system», which allows the realization of optimal controlling algorithms for execution units in different complexes based on prediction of changes in the condition of the respiratory system.
mass rate, volume flow, automatic muscles control, airways, pressure change, right dichotomy, respiratory simulator.
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