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Body temperature rising, pulse rising... the patient's in a state of oxygen deprivation.

Literal

Body-temperature rise, pulse rise... oxygen-deprivation state is-[polite-です].

A clipped emergency-medicine readout. The first two clauses are bare noun phrases without verbs (体言止め) — typical of a status report where the speaker calls out symptoms one by one. The final phrase uses 酸素欠乏状態 ('state of oxygen deprivation, hypoxia'), a medical compound. Common in fiction or drama showing a medical crisis.