Modeling instability in the control system for human respiration: Applications to infant non-REM sleep

DOI10.1016/S0096-3003(99)00112-5zbMath1017.92014OpenAlexW1974077875MaRDI QIDQ1569194

Jerry J. Batzel, Hien T. Tran

Publication date: 25 June 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00112-5

Mathematics Subject Classification ID

Feedback control (93B52) Application models in control theory (93C95) Physiology (general) (92C30) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (7)

Model-based analysis of mechanisms responsible for sleep-induced carbon dioxide differences ⋮ Clinical Decision Support and Closed-Loop Control for Intensive Care Unit Sedation ⋮ A nonlinear delayed model for the immune response in the presence of viral mutation ⋮ Global Hopf bifurcation for differential equations with multiple threshold‐type state‐dependent delays ⋮ Simplified models for gas exchange in the human lungs ⋮ A model for control of breathing in mammals: coupling neural dynamics to peripheral gas exchange and transport ⋮ A cardiovascular-respiratory control system model including state delay with application to congestive heart failure in humans

Cites Work

• Discrete delay, distributed delay and stability switches
• A mathematical model for fundamental regulation processes in the cardiovascular system
• Mathematical study of periodic breathing as an instability of the respiratory system

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