Validation of Math Model Using Porous Media for Determining Alveolar CO 2 in Ventilated Patients.

Jiménez-Posada, L D; Palacio-Sánchez, A F; Montagut-Ferizzola, Y J; Ardila-Villegas, M; Maya, Juan C · Crit Care Med · 2024

basic_science · Level V

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Abstract

To validate a mathematical model using porous media theory for alveolar CO2 determination in ventilated patients. Mathematical modeling study with prospective clinical validation to simulate CO2 exchange from bloodstream to airway entrance. ICU. Thirteen critically ill patients without chronic or acute lung disease. None. 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. 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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