Oxygen therapy for management of periodic breathing : a theoretical approach

DOI10.1016/J.MBS.2016.11.013zbMath1367.92056OpenAlexW2555953426WikidataQ47790736 ScholiaQ47790736MaRDI QIDQ730297

Tanmay Pal, Pranab Kumar Dutta, Srinivasu Maka

Publication date: 27 December 2016

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2016.11.013

zbMATH Keywords

periodic breathingcongestive heart failuredelay dependent analysisLK functionaloxygen therapyrespiratory modelsleep induced periodic breathing

Mathematics Subject Classification ID

Medical applications (general) (92C50) Physiological flow (92C35)

Related Items (1)

Global Hopf bifurcation for differential equations with multiple threshold‐type state‐dependent delays

Cites Work

• Unnamed Item
• A cardiovascular-respiratory control system model including state delay with application to congestive heart failure in humans
• Delay equation analysis of human respiratory stability
• Stability, instability in delay equations modeling human respiration
• Stability of the human respiratory control system. I: Analysis of a two-dimensional delay state-space model
• Stability of the human respiratory control system. II: Analysis of a three-dimensional delay state-space model
• Mathematical study of periodic breathing as an instability of the respiratory system
• Stability of time-delay systems
• A new explicit stability criterion for human periodic breathing

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