Mathematical modelling of respiration control system
In this article the authors performed respiratory system mathematical model, described by two differential equations with one delay argument linear, nonlinear and numeric analyses. Linear analysis was performed D-segmentation method. A stable periodic solution application on bifurcation theory was...
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Vilnius University Press
2012-12-01
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Online Access: | https://www.journals.vu.lt/LMR/article/view/17108 |
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doaj-e8f3da927d5a4d2ebdae76ef90c5f0a02020-11-25T03:16:55ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2012-12-0153B10.15388/LMR.B.2012.22Mathematical modelling of respiration control systemDonatas Švitra0Ramunė Vilkytė1Klaipėdos universitetasKlaipėdos universitetas In this article the authors performed respiratory system mathematical model, described by two differential equations with one delay argument linear, nonlinear and numeric analyses. Linear analysis was performed D-segmentation method. A stable periodic solution application on bifurcation theory was constructing in the nonlinear analysis. In the numeric analysis using Runge–Kutta IV series method, numerical solutions have been constructing to the pathologic Cheyne–Stokes case. https://www.journals.vu.lt/LMR/article/view/17108periodic respirationbifurcation theoryD-segmentation method |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Donatas Švitra Ramunė Vilkytė |
spellingShingle |
Donatas Švitra Ramunė Vilkytė Mathematical modelling of respiration control system Lietuvos Matematikos Rinkinys periodic respiration bifurcation theory D-segmentation method |
author_facet |
Donatas Švitra Ramunė Vilkytė |
author_sort |
Donatas Švitra |
title |
Mathematical modelling of respiration control system |
title_short |
Mathematical modelling of respiration control system |
title_full |
Mathematical modelling of respiration control system |
title_fullStr |
Mathematical modelling of respiration control system |
title_full_unstemmed |
Mathematical modelling of respiration control system |
title_sort |
mathematical modelling of respiration control system |
publisher |
Vilnius University Press |
series |
Lietuvos Matematikos Rinkinys |
issn |
0132-2818 2335-898X |
publishDate |
2012-12-01 |
description |
In this article the authors performed respiratory system mathematical model, described by two differential equations with one delay argument linear, nonlinear and numeric analyses. Linear analysis was performed D-segmentation method. A stable periodic solution application on bifurcation theory was constructing in the nonlinear analysis. In the numeric analysis using Runge–Kutta IV series method, numerical solutions have been constructing to the pathologic Cheyne–Stokes case.
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topic |
periodic respiration bifurcation theory D-segmentation method |
url |
https://www.journals.vu.lt/LMR/article/view/17108 |
work_keys_str_mv |
AT donatassvitra mathematicalmodellingofrespirationcontrolsystem AT ramunevilkyte mathematicalmodellingofrespirationcontrolsystem |
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1724634149412667392 |