The analysis of respiratory reactions of the person in the conditions of the changed gas environment on mathematical model

Matjushev T.V., Dvornikov M.V.
 pdf (783K)  / List of references

The aim of the work was to study and develop methods of forecasting the dynamics of the human respiratory reactions, based on mathematical modeling. To achieve this goal have been set and solved the following tasks: developed and justified the overall structure and formalized description of the model Respiro-reflex system; built and implemented the algorithm in software models of gas exchange of the body; computational experiments and checking the adequacy of the model-based Lite-ture data and our own experimental studies.

In this embodiment, a new comprehensive model entered partial model modified version of physicochemical properties and blood acid-base balance. In developing the model as the basis of a formalized description was based on the concept of separation of physiologically-fi system of regulation on active and passive subsystems regulation. Development of the model was carried out in stages. Integrated model of gas exchange consisted of the following special models: basic biophysical models of gas exchange system; model physicochemical properties and blood acid-base balance; passive mechanisms of gas exchange model developed on the basis of mass balance equations Grodinza F.; chemical regulation model developed on the basis of a multifactor model D. Gray.

For a software implementation of the model, calculations were made in MatLab programming environment. To solve the equations of the method of Runge–Kutta–Fehlberga. It is assumed that the model will be presented in the form of a computer research program, which allows implements vat various hypotheses about the mechanism of the observed processes. Calculate the expected value of the basic indicators of gas exchange under giperkap Britain and hypoxia. The results of calculations as the nature of, and quantity is good enough co-agree with the data obtained in the studies on the testers. The audit on Adek-vatnost confirmed that the error calculation is within error of copper-to-biological experiments. The model can be used in the theoretical prediction of the dynamics of the respiratory reactions of the human body in a changed atmosphere.

Keywords: mathematical model, minute volume of breath, imitation, regulation, breath, respiratory system, hypoxia, hypercapnia
Citation in English: Matjushev T.V., Dvornikov M.V. The analysis of respiratory reactions of the person in the conditions of the changed gas environment on mathematical model // Computer Research and Modeling, 2017, vol. 9, no. 2, pp. 281-296
Citation in English: Matjushev T.V., Dvornikov M.V. The analysis of respiratory reactions of the person in the conditions of the changed gas environment on mathematical model // Computer Research and Modeling, 2017, vol. 9, no. 2, pp. 281-296
DOI: 10.20537/2076-7633-2017-9-2-281-296
URL: http://crm-en.ics.org.ru/journal/article/2561/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
Views (last year): 5.

Indexed in Scopus

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the RSCI

International Interdisciplinary Conference "Mathematics. Computing. Education"

Copyright © 2009–2024 Institute of Computer Science