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Updated: May 26, 2026

A Porcine Model of Acute Respiratory Failure with a Continuous Infusion of Oleic Acid
Published on: March 8, 2024
[Relationship between the alveolar-arterial oxygen gradient and PaO₂/FiO₂-introducing PEEP into the model]
M Sánchez Casado1, M Quintana Díaz, D Palacios
1Unidad de Cuidados Intensivos, Complejo Hospitalario de Toledo, Toledo, España. marcel55@terra.es
Objectives:
To determine whether the alveolar-arterial oxygen gradient (Grad[A-a]O₂) helps confirm the influence of PEEP on PaFi (PaO₂/FiO₂).
Design:
Observational study; we used linear regression to perform a multivariate study to improve the PaFi formula by taking PEEP into account.
Setting:
Tertiary hospital.
Patients:
We included all patients who were admitted to the intensive care unit, regardless of pulmonary damage.
Variables:
We recorded personal history, clinical judgment, intensive care data, severity scores on the first day and progression. Two calculated variables: PaFi and Grad(A-a)O₂.
Results:
A total of 956 patients were included: 63.9% men; median age 68 years. On the first day, 31.8% did not have mechanical ventilation (MV), 13.1% had non-invasive MV and 55.1% had invasive MV. PaFi values: 32.9% 0-200, 32.2% 201-300, and 34.8% >300. PEEP values: 0-5 69.8%, 6-10 27.5% and >10 2.6%. We observed a correlation (Pearson) between Grad(A-a)O₂ and PaFi of -0.84 (p<0.001). On performing multiple regression (dependent variable: Grad[A-a]O₂), the following variables were included in the model: PaFi, PEEP, APACHE IV and SOFA; coefficient of determination (R²) of 0.62 without PEEP and 0.72 with PEEP. We changed the PaFi formula, referring to it as PaFip (PaFi plus PEEP): Ln (PaFi/[PEEP+12]). Correlation index between PaFip and Grad(A-a)O₂: -0.9 (p<0.001). We performed linear regression (dependent variable: Grad[A-a]O₂) and used PaFip instead of PaFi. Only PaFi remained in the model, and was discretely complemented by APACHE IV; R²=0.8.
Conclusions:
By adding PEEP to the PaFi model (PaFip), we clearly improve the latter, as reflected by a better goodness of fit.
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