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Mathematical analysis and digital simulation of the respiratory control system.
Open accessAbstract
The report expresses the basic material balance relationships for the lung-blood-tissue gas transport and exchange system in a set of differential- difference equations containing a number of dependent time delays. Additional equations define the chemical details of transport and acid-base buffering, concentration equilibria, and blood flow behavior. Finally, a control function is included defining the dependence of ventilation upon CSF (H(+)), and arterial (H(+)) and PO2 at the carotid chemoceptors. A Fortran program was written for convenient digital simulation of the responses of the system to a wide variety of forcings, including CO2 inhalation, hypoxia at sea level, altitude hypoxia, and metabolic disturbances in acid-base balance. Both dynamic and steady-state behavior of the model were reasonably realistic.
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Cited by
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King, J., Kupferthaler, A., Unterkofler, K., Koc, H., Teschl, S., Teschl, G., Miekisch, W., Schubert, J., Hinterhuber, H., & Amann, A. (2009) · Journal of Breath Research · doi:10.1088/1752-7155/3/2/027006 · Cited by 278
A Mathematical Model of Respiratory and Biothermal Dynamics in Brain Hypothermia Treatment
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Metadata
- Authors
- Grodins, F. S., Buell, J., & Bart, A. J.
- Venue
- Journal of Applied Physiology
- Publisher
- American Physiological Society
- Published
- 1967-02
- Volume
- 22
- Issue
- 2
- Pages
- 260-276
- ISSN
- 0161-7567 (ISSN-L)
- 8750-7587
- 1522-1601
- OpenAlex
- W158552443
- Cited by
- 294
- References
- 0
- FWCI
- 2.89
- Type
- journal article
- Language
- en
- Open access
- green
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- Grodins, F. S., Buell, J., & Bart, A. J. (1967). Mathematical analysis and digital simulation of the respiratory control system. Journal of Applied Physiology. https://doi.org/10.1152/jappl.1967.22.2.260
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.