Mathematical Analysis And Digital Simulation Of The Respiratory Control System

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
Citation