The test, called EarlyCDT-Lung, will include 10,000 high-risk smokers (defined as having smoked the equivalent of 20 cigarettes per day for over 20 years).
It detects signals produced by the immune system when lung cancer is present.
This can mean up to five years earlier than tumour detection.
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West Yorkshire Police confirmed a 32-year-old woman was taken into custody in connection with the alleged threats.