Browsing by Author "Grodins, Fred S. M.D."
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Item Mathematical Analysis And Digital Simulation Of The Respiratory Control System(Rand Corporation, 1967-03) Grodins, Fred S. M.D.; Buell, June; Bart, Alex J.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.