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The five-part series takes place in a fictional Big Brother house that comes under attack from bloodthirsty zombies. McCall will meet a gruesome end as the drama unfolds on eviction night.
Dead Set is written by Guardian columnist and Screen Wipe host Charlie Brooker.
He said: "Just as a shopping mall was the ideal setting for the original Dawn Of The Dead back in 1978, so the Big Brother house seemed fitting for a TV zombie epic set in the 21st century.
"Dead Set isn't an out-and-out comedy, but an unashamedly populist horror-thriller with blackly comic undertones. Think 24 with zombies. And housemates. And gore."
Dead Set, which also stars Jaime Winstone, debuts on E4 this month.
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