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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Main Authors: Donatas Švitra, Ramunė Vilkytė
Format: Article
Language:English
Published: Vilnius University Press 2012-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/17108
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spelling 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.
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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