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A Model of the Effects of Fluid Variation due to Body Position on Cheyne–Stokes Respiration
- Source :
- Bulletin of Mathematical Biology. 77:488-498
- Publication Year :
- 2015
- Publisher :
- Springer Science and Business Media LLC, 2015.
-
Abstract
- Cheyne-Stokes respiration is a distinct breathing pattern consisting of periods of hyperpnea followed by apnoeas, with unknown aetiology. One in two patients with congestive heart failure suffers from this condition. Researchers hypothesize that key factors in CSR are the fluid shift from the standing to supine position and the differences between genders. A mathematical model of the cardiorespiratory system was constructed using parameter values from real data. Hopf bifurcation analysis was used to determine regions of steady versus oscillatory breathing patterns. In the model, Cheyne-Stokes respiration is more likely to occur while in the supine position and males are more likely to develop Cheyne-Stokes than females. These findings, which are in agreement with clinical experience, suggest that both gender and fluid shift contribute to the pathogenesis of Cheyne-Stokes respiration and that physical quantities such as blood volumes and neural feedback may be sufficient to explain the observations of CSR.
- Subjects :
- Male
medicine.medical_specialty
Supine position
General Mathematics
Posture
Immunology
Hyperpnea
Fluid shift
Models, Biological
General Biochemistry, Genetics and Molecular Biology
Cheyne–Stokes respiration
Control theory
Internal medicine
Respiration
medicine
Humans
Hopf bifurcation
Cheyne-Stokes Respiration
Fluid Shifts
General Environmental Science
Pharmacology
business.industry
General Neuroscience
Body position
Cardiorespiratory fitness
Mathematical Concepts
Carbon Dioxide
medicine.disease
Cheyne-Stokes respiration
Compartmental model
Computational Theory and Mathematics
Heart failure
Cardiology
Female
medicine.symptom
General Agricultural and Biological Sciences
business
Ordinary differential equations
Subjects
Details
- ISSN :
- 15229602 and 00928240
- Volume :
- 77
- Database :
- OpenAIRE
- Journal :
- Bulletin of Mathematical Biology
- Accession number :
- edsair.doi.dedup.....509f2e0400a472930efcc92f6dfae464