Mathematical Analysis And Digital Simulation Of The Respiratory Control System
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Date
1967-03
Authors
Grodins, Fred S. M.D.
Buell, June
Bart, Alex J.
Journal Title
Journal ISSN
Volume Title
Publisher
Rand Corporation
Abstract
This Memorandum 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 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 C02 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.
Description
Keywords
Mathematical Analysis , Digital Simulation , Respiratory Control