Final answer:
In the mode of ventilatory support known as volume-controlled continuous mandatory ventilation (VC-CMV), muscle atrophy is most likely to occur.
Step-by-step explanation:
Muscle atrophy is most likely to occur in the mode of ventilatory support known as volume-controlled continuous mandatory ventilation (VC-CMV). In this mode, the ventilator delivers a set tidal volume at a set rate, which means the patient's muscles do not actively participate in breathing. Without the need to exert effort, the respiratory muscles can weaken and deteriorate over time, resulting in muscle atrophy.