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'rapid eye movement' is correct and commonly used in written English.
You can use it to refer to the stage of sleep characterized by quick movement of the eyes, typically regarded as the deepest stage of sleep. For example, "John had a troubled night's sleep, with frequent interruptions to his rapid eye movement."
Dictionary
rapid eye movement
noun
Rapid movement of the eyes, characterising REM sleep
Exact(48)
We need both slow-wave sleep and rapid eye movement sleep.
It's a common misconception that you only dream during rapid eye movement (REM) sleep.
In 1953, he and Aserinsky introduced the world to "rapid eye movement," or REM sleep.
The last two hours were spent in rapid eye movement sleep when vivid dreams occur.
R.E.M. may stand for "rapid eye movement," but there's nothing rapid about the band anymore.
During sleep, the brain is very active and two different states, non-rapid eye movement (NREM) and rapid eye movement (REM) sleep occur.
Similar(12)
non-rapid eye movement.
non-rapid eye movement stage 1 sleep.
Non-rapid eye movement sleep stage 2. Neuropathy pain scale.
Spontaneous K-complexes are electroencephalographic features unique to non-rapid eye movement sleep.
Regular mouthing movements (RMMs) are observed during fetal non-rapid eye movement (NREM) periods.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com