In silico ordinary differential equation/partial differential equation hemodialysis model estimates methadone removal during dialysis

Mathematical modeling of extracorporeal CO2 removal therapy : A validation carried out on ten pigs

The extracorporeal CO₂ removal device (ECCO₂RD) is used in clinics to treat patients suffering from respiratory failures like acute respiratory distress syndrome (ARDS) or chronic obstructive pulmonary disease (COPD). The aim of this device is to decarboxylate blood externally with low blood flow. A mathematical model is proposed to describe protective ventilation, ARDS, and an extracorporeal CO₂ removal therapy (ECCO₂RT). The simulations are compared with experimental data carried out on ten pigs. The results show a good agreement between the mathematical simulations and the experimental data, which provides a nice validation of the model. This model is thus able to predict the decrease of PCO₂ during ECCO₂RT for different blood flows across the extracorporeal lung support.

Importance of metabolism variations in a model of extracorporeal carbon dioxide removal

Extracorporeal CO2 Removal device is used in clinics when a patient suffers from a pulmonary insufficiency like Acute Respiratory Distress Syndrome and allows to decarboxylate blood externally. In this work, a model of the respiratory system coupled with such a device is proposed to analyze the decrease of CO2 partial pressure in blood. To validate the model, some parameters are estimated thanks to experimental data. Metabolism is a crucial parameter and we show that its time evolution must be taken into account in order to have correct CO2 partial pressure simulations in arteries and in veins.