Works (5)

Updated: July 5th, 2023 16:02

2007 journal article

A respiratory system model: Parameter estimation and sensitivity analysis

CARDIOVASCULAR ENGINEERING, 8(2), 120–134.

By: M. Fink*, J. Batzel* & H. Tran n

author keywords: respiratory system; mathematical models; sensitivity analysis; parameter identification
MeSH headings : Carbon Dioxide / metabolism; Computer Simulation; Feedback, Physiological / physiology; Humans; Lung / physiology; Models, Biological; Oxygen / metabolism; Pulmonary Gas Exchange / physiology; Reproducibility of Results; Respiratory Mechanics / physiology; Sensitivity and Specificity
TL;DR: This paper considers a simple model of the respiratory control system and describes issues related to numerical estimates of key parameters involved in respiratory function such as central and peripheral control gains, transport delay, and lung compartment volumes, and examines methods for studying how to improve the parameter estimation process. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2007 book

Cardiovascular and respiratory systems modeling, analysis, and control

Philadelphia: Society for Industrial and Applied Mathematics.

Jerry Joseph Batzel

Source: NC State University Libraries
Added: August 6, 2018

2000 review

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

[Review of ]. APPLIED MATHEMATICS AND COMPUTATION, 110(1), 1–51.

By: J. Batzel n & H. Tran n

TL;DR: The purpose of this paper is to extend the model presented by M. Jones in 1991 to include variable delay in the feedback control loop and to study the phenomena of periodic breathing and apnea as they occur during quiet sleep in infant sleep respiration at around 4 months of age. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2000 journal article

Stability of the human respiratory control system I. Analysis of a two-dimensional delay state-space model

JOURNAL OF MATHEMATICAL BIOLOGY, 41(1), 45–79.

By: J. Batzel n & H. Tran*

author keywords: respiratory control models; time delay; delay-dependent stability; instability; numerical simulations
MeSH headings : Adult; Brain / physiology; Carbon Dioxide / physiology; Computer Simulation; Feedback / physiology; Heart Failure / physiopathology; Humans; Linear Models; Models, Biological; Oxygen / physiology; Respiratory Physiological Phenomena
TL;DR: Analysis of the stability characteristics of a feedback control system of five differential equations with delays in both the state and control variables presented by Khoo et al. in 1991 shows that the decreased cardiac output and increased delay resulting from the congestive heart condition can induce instability at certain control gain levels. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2000 journal article

Stability of the human respiratory control system II. Analysis of a three-dimensional delay state-space model

JOURNAL OF MATHEMATICAL BIOLOGY, 41(1), 80–102.

By: J. Batzel n & H. Tran*

author keywords: respiratory control models; time delay; delay dependent stability; instability; numerical simulations
MeSH headings : Adult; Brain / physiology; Carbon Dioxide / physiology; Computer Simulation; Feedback / physiology; Heart Failure / physiopathology; Humans; Models, Biological; Oxygen / physiology; Respiratory Physiological Phenomena
TL;DR: The purpose of this paper is to study the stability characteristics of a feedback control system of five differential equations with delays in both the state and control variables presented by Khoo et al. in 1991 for modeling human respiration. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

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