Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Delay equation analysis of human respiratory stability

B Vielle1, G Chauvet

  • 1Institute of Theoretical Biology, University of Angers, France. vielle@ibt.univ-angers.fr

Mathematical Biosciences
|October 22, 1998
PubMed
Summary

This study analyzes human respiration stability using a CO2 model. It identifies key parameters influencing respiratory instability and characterizes the system's stability domain.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Pre- and post-natal exposure of children to organophosphate flame retardants: A nationwide survey in France.

Environment international·2022
Same author

The TPA score (total psoas muscle area) is the best marker for preoperative measurement of pre-sarcopenia in pancreatic surgery.

Journal of visceral surgery·2022
Same author

Comparison of neonatal outcomes of cesarean sections performed under primary or secondary general anesthesia: a retrospective study.

International journal of obstetric anesthesia·2022
Same author

Post-exercise ankle blood pressure and ankle to brachial index after heavy load bicycle exercise.

Scandinavian journal of medicine & science in sports·2018
Same author

European and American suspected and confirmed pulmonary embolism populations: comparison and analysis.

Journal of thrombosis and haemostasis : JTH·2012
Same author

Exercise treadmill testing in patients with claudication, with and without diabetes.

Diabetic medicine : a journal of the British Diabetic Association·2011

Area of Science:

  • Physiology
  • Mathematical Modeling
  • Control Theory

Background:

  • Human respiration is a complex physiological process regulated by feedback mechanisms.
  • Understanding the stability of this system is crucial for diagnosing and treating respiratory disorders.
  • Previous models have simplified the respiratory system's dynamics, limiting comprehensive analysis.

Purpose of the Study:

  • To mathematically analyze the stability of human respiration using a realistic CO2 model.
  • To characterize the stability domain of the respiratory system by deriving an explicit stability criterion.
  • To quantify the influence of key parameters on respiratory instability.

Main Methods:

  • A two-compartment (lungs and tissues) model of the respiratory system was developed.
  • The tau-decomposition method was applied for mathematical analysis.
  • An explicit stability criterion was derived to define the stability domain.

Main Results:

  • The stability domain of the respiratory system was characterized.
  • The influence of transport delay, lung volume, CO2 partial pressure, and controller gain on instability was quantified.
  • A bifurcation point and periodic solutions were demonstrated, with characteristics near the bifurcation point described.

Conclusions:

  • The study provides a mathematical framework for understanding human respiratory stability.
  • Key parameters influencing respiratory instability were identified and quantified.
  • The findings contribute to a deeper understanding of respiratory control mechanisms and potential instabilities.

Related Experiment Videos