A 30-year-old woman is admitted to the ICU for management of respiratory failure due to influenza A infection. She is intubated and mechanically ventilated. Ventilator settings are in the volume-controlled continuous mandatory ventilation (assist/control) mode with a respiration rate of 18/min, a tidal volume of 360 mL (6 mL/kg of ideal body weight), an FIO2 of 0.9, and a positive end-expiratory pressure (PEEP) of 14 cm H2O. Her plateau pressure is 28 cm H2O. Because of difficulty with oxygenation, she was paralyzed and is being appropriately monitored for depth of sedation and depth of paralysis. Her medical history is otherwise unremarkable. In addition to her sedative and paralyzing agents, her only medication is oseltamivir.

On physical examination, temperature is 38.8 °C (101.8 °F), blood pressure is 112/64 mm Hg, pulse rate is 85/min, and respiration rate is 18/min; BMI is 29. There is no jugular venous distention. Coarse breath sounds are auscultated throughout both lung fields. Cardiac examination is normal, and there are no other significant findings on her general medical examination.

A chest radiograph shows an appropriately placed endotracheal tube. Diffuse, patchy infiltrates are seen throughout both lung fields, consistent with acute respiratory distress syndrome. Arterial blood gas studies show a pH of 7.41, a PCO2 of 38 mm Hg (5.0 kPa), and a PO2 of 57 mm Hg (7.6 kPa).

Which of the following is the most appropriate next step in management?