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Validation of Math Model Using Porous Media for Determining Alveolar CO 2 in Ventilated Patients
L D Jiménez-Posada1, A F Palacio-Sánchez1,2, Y J Montagut-Ferizzola1
1Universidad EIA, Escuela de Ingeniería y Ciencias Básicas, Grupo de Investigación en Ingenieria Biomédica (GIBEC) Envigado, Antioquia, Colombia.
Objectives:
To validate a mathematical model using porous media theory for alveolar CO2 determination in ventilated patients.
Design:
Mathematical modeling study with prospective clinical validation to simulate CO2 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 CO2 (EtCO 2 ), area under the CO2 curve, and Pa CO2 of 0.918, 0.954, and 0.995. Determination coefficients ( R2 ) 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.
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