Objectives:
To validate a mathematical model using porous media theory for alveolar CO
2 determination in ventilated patients.
Design:
Mathematical modeling study with prospective clinical validation to simulate CO
2 exchange from bloodstream to airway entrance.
Setting:
ICU.
Patients:
Thirteen critically ill patients without chronic or acute lung disease.
Interventions:
None.
Measurements and Main Results:
Model outcomes compared with patient data showed correlations for end-tidal CO
2 (EtCO2), area under the CO
2 curve, and PaCO
2 of 0.918, 0.954, and 0.995. Determination coefficients (R
2) were 0.843, 0.910, and 0.990, indicating precision and predictive power.
Conclusions:
The mathematical model shows potential in pulmonary critical care. Although promising, practical application demands further validation, clinician training, and patient-specific adjustments. The path to clinical use will be iterative, involving validation and education.