Mathematical analysis and digital simulation of the respiratory control system.

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Abstract
The basic material balance relationships for the lung-blood-tissue gas transport and exchange system was expressed in a set of differential-difference equations containing a number of dependent time delays. Additional equations were written to define the chemical details of transport and acid-base buffering, concentration equilibria, and blood flow behavior. Finally a control function was written defining the dependence of ventilation upon cerebospinal fluid (H+), and arterial (H+)and O2 pressure at the carotid chemo-ceptors. A Fortran program was written for convenient digital simulation of the dynamic system responses 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 was reasonably realistic.

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