Document Detail

A minimal mathematical model of human periodic breathing.
MedLine Citation:
PMID:  3141356     Owner:  NLM     Status:  MEDLINE    
Numerous mathematical models of periodic breathing (PB) currently exist. These models suggest mechanisms that may underlie many known causes of PB. However, each model that has been shown to simulate PB under reasonable conditions contains greater than 15 physiological parameters. Because some parameters exhibit a wide range of values in a population, such simulations cannot test a model's ability to account for the breathing patterns of individuals. Furthermore it is impractical to perform a direct experimental validation study that would require the estimation of each of 15 or more parameters for each subject. A minimal model of PB is presented that is suitable for direct validation. Analytic expressions are given that define the conditions for PB in terms of the following: 1) CO2 sensitivity, 2) Cardiac output, 3) Mixed venous CO2, 4) Circulation time, and 5) Mean lung volume for CO2. This model is shown to be consistent with previous models and experimental data regarding the degree of hypoxia or congestive heart failure required to produce PB. A quantitative measure of relative stability is defined as a metric of comparison to the human studies described in the accompanying paper (J. Appl. Physiol. 65: 1389-1399, 1988).
D W Carley; D C Shannon
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Journal of applied physiology (Bethesda, Md. : 1985)     Volume:  65     ISSN:  8750-7587     ISO Abbreviation:  J. Appl. Physiol.     Publication Date:  1988 Sep 
Date Detail:
Created Date:  1988-12-07     Completed Date:  1988-12-07     Revised Date:  2013-09-26    
Medline Journal Info:
Nlm Unique ID:  8502536     Medline TA:  J Appl Physiol (1985)     Country:  UNITED STATES    
Other Details:
Languages:  eng     Pagination:  1400-9     Citation Subset:  IM    
Pediatric Pulmonary Unit, Massachusetts General Hospital, Boston 02114.
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MeSH Terms
Blood Circulation Time
Carbon Dioxide / blood
Cardiac Output
Lung Volume Measurements
Models, Biological*
Models, Theoretical*
Reg. No./Substance:
124-38-9/Carbon Dioxide

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