An analog computer analysis of Cheyne-Stokes breathing

Abstract

A mathematical model of the human respiratory control system has been developed and utilized, with the aid of an analog computer, to study the influence of the various factors of the system in producing or enhancing Cheyne-Stokes breathing. The model is an extension of Grodins' (1954) two-compartment model (lung and tissue compartments) to which circulation times and ventilatory dead space have been added. The study has shown that only two factors, increased arterial circulation time and increased controller gain (Δ minute ventilation/Δ in respiratory center CO2 concentration), can alone produce sustained oscillation. However, several other factors, such as decreased CO2 production rate and a shift of the controller equation [minute ventilation = a function of respiratory center CO2 concentration] to the right so that more CO2 is exchanged per amount of alveolar ventilation, can enhance the oscillation. periodic breathing; mathematical model Submitted on May 7, 1964