My master's research included a study of extracorporeal carbon dioxide removal (ECCO2R) processes and the development of a quantitative mathematical model of a specific ECCO2R process involving low blood flow rates through a membrane lung. A theoretical analysis of the carbon dioxide removal process and data from animal experiments were used to develop the model. Three interactive blood gas and acid-base balance calculation computer programs were developed during the project. All three programs account for blood properties such as species, hemoglobin concentration and hematocrit. The BLOOD program calculates blood gas contents and either pH or base excess, respectively, given blood gas partial pressures and either base excess or pH, respectively. The SHUNT program calculates the pulmonary shunt fraction given arterial, venous and end expiratory gas partial pressures. The MODEL program implements the final model of the ECCO2R process. The model was found to correctly predict carbon dioxide removal rates under a variety of process operating conditions. The model was used to investigate the effects of six important variables on the carbon dioxide removal rate.